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## Your file Votre reference ISBN: 978-0-494-63346-5 (2009)

### Citations

230 |
Mathematical Models of Hysteresis,
- Mayergoyz
(Show Context)
Citation Context ...ntrol Design for Hysteresis Compensation 204s8.3 Recommendation for the Future Studies 204sReferences .....208sXHsList of FiguressFigure 1.1: Measured hysteresis properties of ferromagnetic materials =-=[1]-=- 5sFigure 1.2: Relay hysteresis operator [1] 15sFigure 1.3: Krasnosel'skii-Pokrovskii operator [4] 18sFigure 1.4: Play hysteresis operator [2] 19sFigure 1.5: Stop hysteresis operator [2] 20sFigure 1.6... |

226 |
Hysteresis and Phase Transitions
- Brokate, Sprekels
- 1996
(Show Context)
Citation Context ...Preisach model, the play and stop operators are continuous hysteresis operators which arescharacterized by the input v and the threshold r. A detailed discussion about thesesoperators can be found in =-=[2]-=-. The stop operator has been proposed to characterize theselastic-plastic behavior in continuum mechanics [2]. Figures 1.4 and 1.5 illustrate thesinput-output characteristics of the play and stop oper... |

167 |
Systems with Hysteresis,
- Krasnosel’skii, Pokrovskii
- 1989
(Show Context)
Citation Context ...ces .....208sXHsList of FiguressFigure 1.1: Measured hysteresis properties of ferromagnetic materials [1] 5sFigure 1.2: Relay hysteresis operator [1] 15sFigure 1.3: Krasnosel'skii-Pokrovskii operator =-=[4]-=- 18sFigure 1.4: Play hysteresis operator [2] 19sFigure 1.5: Stop hysteresis operator [2] 20sFigure 1.6: Open-loop inverse control system 26sFigure 1.7: Illustration of numerical hysteresis inversion. ... |

123 |
Theory of ferromagnetic hysteresis
- Jiles, Atherton
- 1986
(Show Context)
Citation Context ....3.1 PHYSICS-BASED HYSTERESIS MODELSsThe physics-based models are generally derived on the basis of a physicalsmeasure, such as displacement, energy, or stress-strain relationship. Jiles and Athertons=-=[15]-=- developed a hysteresis model on the basis of observed physical properties ofsferromagnetic materials. The model comprised analytical expression relating thesreversible and irreversible motions of fer... |

115 |
Method of random vibration of hysteretic systems,”
- Wen
- 1976
(Show Context)
Citation Context ...resis models such as Preisach model [1], KrasnosePskii-Pokrovskii model [4],sPrandtl-Ishlinskii model [2]; and differential equation-based hysteresis models such assDuhem model [3] and Bouc-Wen model =-=[17]-=-. These models are briefly described below.s10s1.3.2 DIFFERENTIAL EQUATION-BASED PHENOMENOLOGICAL MODELsThese models generally constitute a nonlinear differential equation relating thesoutput to the m... |

82 |
Tracking control of a piezoceramic actuator,
- Ge, Jouaneh
- 1996
(Show Context)
Citation Context ...lied current at different excitation frequencies 78sFigure 3.13: Percent hysteresis of the magnetostrictive actuator under excitations atsdifferent excitation frequencies (based on data obtained from =-=[23]-=-) 79sFigure 3.14: Variations in displacement amplitude response of a magnetostrictivesactuator as a function of excitation frequency (based on data obtained from [33]) 79sFigure 3.15: Measured output-... |

82 |
Neural adaptive control for a class of nonlinear systems with unknown dead zone,”
- Wang, Zhang, et al.
- 2008
(Show Context)
Citation Context ...for smart actuators such as robust adaptive [55], energybased [56, 60], and sliding model control systems, which employ the hysteresis model ofsthe actuator for constructing the controller. Su et al. =-=[55, 59]-=- proposed an adaptivescontroller that is employed to control a nonlinear system preceded by unknown PrandtlIshlinskii hysteresis nonlinearities. In this study, the proposed controller leads to thesdes... |

62 |
Modeling hysteresis in piezoceramic actuators
- Ge, Jouaneh
- 1995
(Show Context)
Citation Context ...cond-order polynomial density functionsand evaluated the fundamental wipe-out and minor-loop congruent properties ofspiezoceramic and SMA actuators, which were verified experimentally. Ge and Jouanehs=-=[22]-=- characterized the hysteresis in a piezoceramic actuator using modified relaysoperators with threshold values of 0 and +1, which replaced the threshold values of -1sand +1 of the classical operator. T... |

46 |
Adaptive control of plants with unknown hysteresis
- Tao, Kokotović
- 1995
(Show Context)
Citation Context ...is is known to cause considerable positioning errors in micro/nanopositioning applications. The hysteresis nonlinearities may also lead to instability in thesclosed-loop operations of smart actuators =-=[31]-=-. The positioning accuracy of suchsactuators could be significantly enhanced through hysteresis compensation of the closedloop system. A number of hysteresis models have thus been developed to charact... |

43 | A free energy model for hysteresis in ferroelectric materials - Smith, Seelecke, et al. - 2003 |

41 | Identification of hysteretic control influence operators representing smart actuators, Part II: Convergent approximations - Banks, Kurdila, et al. - 1997 |

36 |
Preisach modeling of piezoceramic and shape memory alloy hysteresis
- Hughes, Wen
- 1997
(Show Context)
Citation Context ... expansion under a very low frequency. Yu et al. [34] measured theshysteresis of a piezoceramic bimorph actuator, and concluded that the hysteresis is rateindependent only up to 10 Hz. Hughes and Wen =-=[20]-=- measured the hysteresis propertiessof piezoceramic patches and Nitinal SMA muscles coupled with a cantilever beam. Thes6smeasurements were performed to characterize the minor hysteresis loops and wip... |

33 |
Über die magnetische Nachwirkung: Zeitschrift für Physik
- Preisach
- 1935
(Show Context)
Citation Context ...s.s34sChapter 2: Modeling Hysteresis Nonlinearitiess2.1 IntroductionsA number of phenomenological models have been proposed to describe hysteresissin smart actuators. These include the Preisach model =-=[1,5]-=-, the Krasnosel'skii-Pokrovskiismodel [4], and the Prandtl-Ishlinskii model [2]. The Prandtl-Ishlinskii model offerssadvantage over the Preisach and the Krasnosel'skii-Pokrovskii models, since its inv... |

33 |
convexity and dissipation in hyperbolic equations
- Krejčí
(Show Context)
Citation Context ... Composition of the Prandtl-IshlinskiisModelsIn this section analytical expression of the composition for the Prandtl-Ishlinskiismodel will be briefly presented. The expression, which is presented in =-=[77]-=-, is essential tosobtain the error of the inverse compensation. The Prandtl-Ishlinskii model n whichsintegrates the play operator Fr and the density function p(r) to characterize the hysteresiss167sno... |

32 | Modeling and control of hysteresis in magnetostrictive actuators,”
- Tan, Baras
- 2004
(Show Context)
Citation Context ...cies (based on data obtained from [23]) 79sFigure 3.14: Variations in displacement amplitude response of a magnetostrictivesactuator as a function of excitation frequency (based on data obtained from =-=[33]-=-) 79sFigure 3.15: Measured output-input responses of two smart actuators: (a) a two-wiresSMA actuator; and (b) a one-wire SMA actuator wire 81sxivsFigure 4.1: Comparisons of displacement responses of ... |

31 | Phase control approach to hysteresis reduction
- Cruz-Hernández, Hayward
(Show Context)
Citation Context ...me rate of the Preisach model output on thesbasis of the energy. The results demonstrated the effectiveness of the method inscompensating the hysteresis of the SMA actuator. Cruz-Hemandez and Hayward =-=[57]-=-sproposed a hysteresis compensation method for piezoceramic and SMA actuators basedson shifting of the phase of the periodic signal. The method employed a phaser comprisingsa parallel combination of a... |

30 |
Tracking Control of a Piezoceramic Actuator with Hysteresis Compensation using Inverse Preisach Model
- Song, Zhao, et al.
- 2005
(Show Context)
Citation Context ...ramic actuator. In this study, compensationsof hysteresis nonlinearities was demonstrated for sinusoidal inputs of different amplitudessat a low frequency of 0.05 Hz. In a similar manner, Song et al. =-=[41]-=- proposed a modifiedsPreisach model to characterize and to compensate the hysteresis nonlinearities in aspiezoceramic actuator with PD-lag and PD-lead controllers with the numerical inverse ofsthe mod... |

29 | A domain wall model for hysteresis in piezoelectric materials
- Smith, Ounaies
- 2000
(Show Context)
Citation Context ...netic materials. The model comprised analytical expression relating thesreversible and irreversible motions of ferromagnetic material particulars. The model wasssubsequently used by Smith and Ounaies =-=[9]-=- for describing the hysteresis phenomenon ofspiezoceramic materials. Ikuta et al. [6] proposed a mechanical model to characterizeshysteresis in SMA actuators using the stress-strain relationships of t... |

25 |
Inverse control of systems with hysteresi and creep
- Krejci, Kuhnen
- 2001
(Show Context)
Citation Context ...uators has been thesprimary focus of many reported studies. Control algorithms based on inverse hysteresisscompensators have been suggested to be more effective in compensating the hysteresisseffects =-=[23, 30]-=-. Some reported hysteresis models have thus been employed for derivingsthe inverse hysteresis models to serve as a compensator for the hysteresis effects,sparticularly these based on the Preisach mode... |

25 |
Passivity-based stability and control of hysteresis in smart actuators
- Gorbet, Morris, et al.
- 2001
(Show Context)
Citation Context ...s models to constructscontrollers to compensate for the actuator hysteresis. A number of control methods havesbeen proposed to compensate for smart actuators such as robust adaptive [55], energybased =-=[56, 60]-=-, and sliding model control systems, which employ the hysteresis model ofsthe actuator for constructing the controller. Su et al. [55, 59] proposed an adaptivescontroller that is employed to control a... |

24 | Modelling, Identification and Compensation of Complex Hysteretic Nonlinearities – A modified Prandtl-Ishlinskii Approach.
- Kuhnen
- 2003
(Show Context)
Citation Context ...that can provide accurate prediction of the rate-dependent hysteresissproperties together with the output saturation.sIn an attempt to overcome the limitations of the Prandtl-Ishlinskii model, Kuhnens=-=[29]-=- proposed deadzone operators in addition to the classical play operator of the PrandtlIshlinskii model so as to characterize asymmetric hysteresis nonlinearities of thesmagnetostrictive actuators. Bro... |

23 |
Hysterisis Modeling Of Wood Joint And Structural Systems
- Foliente
- 1995
(Show Context)
Citation Context ...smeasured hysteresis of a particular material or system. Different forms of Bouc-Wensmodel have been proposed to suit the observed hysteresis properties of different systems,smaterials, and actuators =-=[78, 79]-=-. Hysteretic systems including hysteretic isolators [18]sand magentorheological fluid dampers [19] are some examples. The major limitations ofsthe Bouc-Wen models are associated with the parameters id... |

21 |
Mathematical Model and Experimental Verification of Shape Memory Alloy for Designing Micro Actuator”,
- Ikuta, Tsukamoto, et al.
- 1991
(Show Context)
Citation Context ...d irreversible motions of ferromagnetic material particulars. The model wasssubsequently used by Smith and Ounaies [9] for describing the hysteresis phenomenon ofspiezoceramic materials. Ikuta et al. =-=[6]-=- proposed a mechanical model to characterizeshysteresis in SMA actuators using the stress-strain relationships of the SMA materials.sSmith et al. [8] proposed a nonlinear energy-based hysteresis model... |

19 | Model-based robust control design for magnetostrictive transducers operating in hysteretic and nonlinear regimes
- Nealis, Smith
(Show Context)
Citation Context ...actuator. Tan and Baras [25] applied an adaptive control approach to compensateshysteresis effects in a magnetostrictive actuator using the Preisach hysteresis model andsits inverse. Nealis and Smith =-=[71]-=- proposed a robust control method for smart materialsactuators to achieve enhanced tracking performance using the inverse Preisach model.sSong et al. [41], in a similar manner, applied the inverse Pre... |

19 |
Generalized Preisach model of hysteresis
- Mayergoyz, Friedman
- 1988
(Show Context)
Citation Context ...and ferromagneticsmaterials. The rate-dependence of hysteresis effects, however, have been considered insonly a few studies employing the Preisach model in conjunction with a dynamic densitysfunction =-=[73]-=-. The compensation of the hysteresis effects of smart actuators has been thesprimary focus of many reported studies. Control algorithms based on inverse hysteresisscompensators have been suggested to ... |

17 | A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite - Popov, Lagoudas - 2007 |

15 | Model development and inverse compensator design for high speed nanopositioning - Smith, Salapaka, et al. - 2002 |

15 |
Real-time compensation of hysteresis and creep in piezoelectric actuators,
- Janocha, Kuhnen
- 2000
(Show Context)
Citation Context ...ras [25] applied inverse Preisachsmodel, which is obtained numerically, in an adaptive control algorithm to compensate theshysteresis nonlinearities of a magnetostrictive actuator. Janocha and Kuhnen =-=[53]-=-scompensated the hysteresis effects of a piezoceramic actuator using inverse Prandtl27sIshlinskii model, which is constructed numerically, in an open-loop control system. Insaddition to the above ment... |

14 | Adaptive identification and control of hysteresis in smart materials”,
- Xiaobo, Baras
- 2005
(Show Context)
Citation Context ...l in a closed-loop control system. Reduction in hysteresissnonlinearities was demonstrated experimentally for major and minor hysteresis loopssunder low excitation frequencies (0.5 Hz). Tan and Baras =-=[25]-=- applied inverse Preisachsmodel, which is obtained numerically, in an adaptive control algorithm to compensate theshysteresis nonlinearities of a magnetostrictive actuator. Janocha and Kuhnen [53]scom... |

14 |
On the classical Preisach model for hysteresis in piezoceramic actuators
- Hu, Mrad
- 2003
(Show Context)
Citation Context ...d that the hysteresis of the actuator is rate-dependent andsthe measured peak displacement amplitude decreases as the frequency of the inputsvoltage is increased. In a similar manner, Ben Mrad and Hu =-=[61]-=- performedsmeasurements to characterize the hysteresis properties of a piezoceramic actuator atsdifferent excitation frequencies. The study concluded that the width of the hysteresis loopsincreases to... |

13 | Design and Testing of Track-Following Controllers for Dual-Stage Servo Systems with PZT Actuated Suspensions - Li, Horowitz - 2002 |

13 | Experimental and theoretical results in outputtrajectory redesign for flexible structures - Dewey, Leang, et al. - 1998 |

13 | Position control of shape memory alloy actuators by using self-tuning fuzzy PID controller
- Kha, Ahn
- 2006
(Show Context)
Citation Context ...oned model-based inverse methods, neural networks andsfuzzy system models have also been presented to compensate the hysteresis nonlinearitiessof the smart actuators by constructing the inverse model =-=[62,63, 80]-=-.sThe compensation based numerical inversions of the hysteresis models exhibitsseveral limitations. Firstly, the numerical inverse of model can be considered only as ansapproximate inverse. This appro... |

12 | Approximate inversion of the preisach hysteresis operator with application to control of smart actuators - Iyer, Tan - 2005 |

12 |
A model for voltage-to-displacement dynamics in piezoceramic actuators subject to dynamic-voltage excitations
- RB, Hu
- 2002
(Show Context)
Citation Context ...oth excitations yield similar hysteresis suggesting negligible effects ofsthe rate of input. The data reported for the 100 Hz excitation, however, revealed slightlyshigher hysteresis.sHu and Ben Mrad =-=[64]-=- measured the hysteresis of a piezoceramic actuator, wheresthe nominal displacement was 3000 nm under an input voltage of 100 V. The width ofsthe measured voltage-to-displacement was obtained as 15% o... |

12 | Dynamic generalization of the scalar Preisach model of hysteresis - Bertotti - 1992 |

12 | Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis
- Zhou, Wen, et al.
- 2004
(Show Context)
Citation Context ... os(7.7)sAccording to the analysis in Chapter 6, it is easily deduced that T]r'(G) = <p(<p ')'(O) is aspositive constant, then b =brf'r(0) is an unknown positive parameter. To avoidschattering, as in =-=[75, 76]-=-, a smooth function sg(z) is adopted:ssgl{zi) = { W.sz,sK-z,2r+2+|z,i , KMswhere <5, are positive design parameters. A function/(z,) is also used as:s/,(*,) = [1 , KM [o , |*,|<4sThen,s(7.8)s(7.9)s^ -... |

12 |
Sliding-mode enhanced adaptive motion tracking control of piezoelectric actuation systems for micro/nano manipulation
- Liaw, Shirinzadeh, et al.
- 2008
(Show Context)
Citation Context ...ion of a linear filter and a rate-independent Preisach hysteresis model,sand concluded that the method could reduce the major and minor hysteresis loops inspiezoceramic and SMA actuators. Liaw et al. =-=[81]-=- proposed a sliding model adaptivescontroller to control a piezoceramic actuator. The piezoceramic actuator is characterizedsusing electromechanical model which is analytically expressed via second-or... |

11 | Compliant control of a two-link flexible manipulator featuring piezoelectric actuators,” - Kim, Choi, et al. - 2001 |

9 |
Thermodynamics of shape memory alloy wire: Modeling, experiments, and application
- Chang, Shaw, et al.
- 2006
(Show Context)
Citation Context ...s=0.1 r and q =0.17. The output of the model is expressed analytically as:sn[v](0 = 0.17v(0 + Jo. lrFr[v](t)dr (5.10)sThe output of the model under the harmonic input v(t)=7s\n(ni)/( 1+0.06/) for t s =-=[0, 13]-=- issshown in Figure 5.2.s8s6s4s2sS osr—isC -2s-4s-6s-8-10 -8 -6 -4 -2 0 2 4 6 8 10sV(/)sFigure 5.2: Input output relations of Prandtl-Ishlinskii model (5.10).sThe initial loading curve of Prandtl-Ishl... |

9 | Modeling of piezoelectric actuator for compensation and controller design - Tzen, Jeng, et al. - 2003 |

8 | Constitutive modelling and numerical simulation of multi- variant phase transformation in superelastic shape-memory alloys - Jung, Papadopoulos, et al. - 2004 |

8 | Modeling rate-dependent hysteresis in piezoelectric actuators
- Ang, Garmon, et al.
- 2003
(Show Context)
Citation Context ...ymmetric properties of theshysteresis operators.s1.3.4 RATE-DEPENDENT HYSTERESIS MODELSsA few operator-based hysteresis models have been proposed to characterize thesrate-dependent hysteresis effects =-=[33, 34, 64, 68, 73]-=-. Many of these models weresoriginally proposed for rate-independent hysteresis properties and were later modified toscharacterize rate-dependent hysteresis. The most common approach to account for ra... |

7 | Dynamic preisach modelling of hysteresis for the piezoceramic actuator system
- Yu, Xiao, et al.
(Show Context)
Citation Context ...gnetic and smart actuators, assuming negligible effect of thesrate of input. A few studies have experimentally characterized the output-inputsrelationships of different actuators under varying inputs =-=[33, 34, 61, 64]-=-. These clearlysshowed dependency of the actuator displacement on the rate of input, while the areasbounded by the hysteresis loop also increased under increasing input frequency. The datasreported fo... |

7 | Resonantly driven piezoelectric micropump fabrication of a micropump having high power density[J]. Mechatronics - Park, Yoshida, et al. - 1999 |

7 |
Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis
- Su, Wang, et al.
- 2005
(Show Context)
Citation Context ...ological hysteresis models to constructscontrollers to compensate for the actuator hysteresis. A number of control methods havesbeen proposed to compensate for smart actuators such as robust adaptive =-=[55]-=-, energybased [56, 60], and sliding model control systems, which employ the hysteresis model ofsthe actuator for constructing the controller. Su et al. [55, 59] proposed an adaptivescontroller that is... |

7 | Compensation of hysteresis in solid-state actuators - Schafer, Janocha - 1995 |

6 | Development of a micro-depth control system for an ultr-precision lathe using a piezoelectric actuator, - Kim, Nam - 1997 |

6 |
Modelling and compensation of hysteresis for magnetostrictive actuators
- Natale, Velardi, et al.
- 2001
(Show Context)
Citation Context ...btain approximatesinversions of the model. The effectiveness of the approximate inversions in conjunctionswith different controllers in hysteresis compensation have been demonstrated in a fewsstudies =-=[31, 36]-=-.sUnlike the Preisach and Krasnosel'skii-Pokrovskii models, the Prandtl-Ishlinskiismodel offers an attractive and unique property of being analytically invertible. ThesPrandtl-Ishlinskii model may thu... |

6 | Output tracking for actuator deficient/redundant systems: multiple piezoactuator example - Brinkerhoff, Devasia - 1999 |

6 |
Control of hysteretic systems through inverse compensation
- Iyer, Tan
- 2009
(Show Context)
Citation Context ...e switching thresholds of thesinput corresponding to upward and downward shifts in the output, as illustrated in Figures1.2.sps.4s,s• 's— p .s"f 1s• 4 —s_Isp .sasFigure 1.2: Relay hysteresis operator =-=[1, 82]-=-.s15sThe output of the relay operator switches from -1 to +1 when the current input is largersthan a, and from +1 to -1 when the current input is less than /?. It is apparent that thesmodel employs a ... |

5 |
A coupled thermomechanical model for shape memory alloys
- Heintze, Seelecke
(Show Context)
Citation Context ...cted by change in the direction of the input v(/). The output-input relationshipsis expressed by the following differential equation [3]:syo(t) = fM0M0) v+(0-72(y(0,v(0) v"(0 (l.i)swheres,1(/)=K4|v(o =-=(12)-=-swhere the input v(/) and the output y0{t) are continuous and differentiable functions oversthe interval [0, T\. An increase in input v{t) causes the output y0{t) to increase along asparticular path. ... |

5 | Micro-position of linear-piezoelectric motors based on a learning nonlinear PID controller - Tan, Lee, et al. - 2001 |

5 | High-speed scanning of piezo-probes for nano-fabrication - Croft, McAllister, et al. |

5 |
Analysis of piezo actuators in translation construction
- Holman, Scholte, et al.
- 1995
(Show Context)
Citation Context ...ies have also shown the influence of excitation waveform on thesresponse hysteresis of piezoceramic actuators using harmonic and triangular excitationssat low frequencies of 5 Hz [34] and below 20 Hz =-=[69]-=-. It was shown that a triangularswaveform yields slightly lower maximum hysteresis nonlinearity H of the mean curveswhen compared to that under a harmonic excitation. Such differences may be attribute... |

5 | Inverse compensation for ferromagnetic hysteresis - Smith, Zrostilk - 1999 |

4 | A reduced-order thermomechanical model and analytical solution for uniaxial shape memory alloy wire actuators - Shaw, Churchill |

4 |
Control of Hysteresis systems with Preisach Representations
- Gorbet
- 1997
(Show Context)
Citation Context ...s can be excited under low voltage. The SMAs, such as nickel-titanium andscopper zinc aluminum alloys, exhibit capability to recover the strain (approximately up tos10%) without permanent deformation =-=[56]-=-. All of the reported studies have consideredsexperimental characterization under sinusoidal inputs, with only few exceptions. Yu et al.s7s[34] measured the hysteresis properties of a piezoceramic act... |

4 |
Experimental implementation of a nonlinear control method for magnetostrictive transducers
- Oates, Evans, et al.
(Show Context)
Citation Context ...nearitiessof such actuators have been widely demonstrated.sAlternatively, dynamic density functions have been defined to predict ratedependent hysteresis properties in conjunction with Preisach model =-=[33, 34, 64, 74]-=-.sSmith et al. [7] presented a homogenized energy model using Preisach model toscharacterize the rate-dependent hysteresis in a magnetostrictive actuator over a widesfrequency range (1-2 kHz). Ang et ... |

3 |
Two methods for modeling scalar hysteresis and their use in controlling actuators with hysteresis
- Galinaities
- 1999
(Show Context)
Citation Context ...)dad/3s( U 8 )swherep(a, ft) is a integrable positive density function.sThe Krasnosel'skii-Pokrovskii model has been used to model the hysteresissproperties of different smart actuators. Banks et al. =-=[27]-=- introduced the properties of thesKrasnosel'skii-Pokrovskii model to characterize hysteresis nonlinearities in SMAsactuators. Galinaities [28] employed the Krasnosel'skii-Pokrovskii operator instead o... |

3 | Development of a micro-positioning grinding table using piezoelectric voltage feedback - Kim, Nam - 1995 |

3 | A piezoelectric tool servo system for variable depth of cut machining - Rasmussen, Tsao, et al. |

3 | Position control of a cylinder system using a piezoactuator-driven pump - Choi, Yoo, et al. |

3 | A neural network inverse model for a shape memory alloy wire actuator
- Song, Chaudhry, et al.
(Show Context)
Citation Context ...oned model-based inverse methods, neural networks andsfuzzy system models have also been presented to compensate the hysteresis nonlinearitiessof the smart actuators by constructing the inverse model =-=[62,63, 80]-=-.sThe compensation based numerical inversions of the hysteresis models exhibitsseveral limitations. Firstly, the numerical inverse of model can be considered only as ansapproximate inverse. This appro... |

3 |
Adaptive output control of uncertain nonlinear systems with unknown backlash
- Zhou, Wen, et al.
- 2007
(Show Context)
Citation Context ... os(7.7)sAccording to the analysis in Chapter 6, it is easily deduced that T]r'(G) = <p(<p ')'(O) is aspositive constant, then b =brf'r(0) is an unknown positive parameter. To avoidschattering, as in =-=[75, 76]-=-, a smooth function sg(z) is adopted:ssgl{zi) = { W.sz,sK-z,2r+2+|z,i , KMswhere <5, are positive design parameters. A function/(z,) is also used as:s/,(*,) = [1 , KM [o , |*,|<4sThen,s(7.8)s(7.9)s^ -... |

2 |
A mathematical model for hysteresis
- Bouc
(Show Context)
Citation Context ...ssrate-independent and it yields symmetric hysteresis loops.sBouc-Wen ModelsThe Bouc-Wen model [17] is a nonlinear differential equation-based model,swhich originates from the Bouc model presented in =-=[16]-=-. The model has been extensivelysused to describe the hysteretic behaviour between the applied displacement and thesoutput force in wide ranges of mechanical systems. This model is presented by thesfo... |

2 |
Preisach model identification of a two wire SMA actuator
- Gorbet, Wang, et al.
(Show Context)
Citation Context ...dth of hysteresis loop with an increase in the excitation magnitude.sThe hysteresis properties of shape memory alloys (SMA) and magnetostrictivesactuators have also been investigated in a few studies =-=[21, 28, 33]-=-. Such actuators showshysteresis effects together with output saturation which dependent on the type of actuatorsand nature of input. Magnetostriction is the phenomenon associated with strong coupling... |

2 | Control Unknown Dynamic hysteretic systems using slow adaption: preliminary results - Tan, Khalil - 2007 |

2 | 2004, “Vibration control of a rotating cantilevered beam using piezoactuators: experimental work - Choi, Han |

2 | Adaptive Antenna Shape Control using Piezoelectric Actuators - Agrawal, Elshafei, et al. - 1997 |

2 | A self-actuating PZT cantilever integrated with piezoresistor sensor for AFM with high speed parallel operation - Kim, Nam, et al. - 2002 |

2 |
Experimental study of the robust tracking control of a shape memory alloy wire actuator”,ASME
- Song, Quinn
- 2004
(Show Context)
Citation Context ...oned model-based inverse methods, neural networks andsfuzzy system models have also been presented to compensate the hysteresis nonlinearitiessof the smart actuators by constructing the inverse model =-=[62,63, 80]-=-.sThe compensation based numerical inversions of the hysteresis models exhibitsseveral limitations. Firstly, the numerical inverse of model can be considered only as ansapproximate inverse. This appro... |

2 |
Chaotic behaviour of hysteretic oscillators
- Battaini, Casciati
- 1996
(Show Context)
Citation Context ...smeasured hysteresis of a particular material or system. Different forms of Bouc-Wensmodel have been proposed to suit the observed hysteresis properties of different systems,smaterials, and actuators =-=[78, 79]-=-. Hysteretic systems including hysteretic isolators [18]sand magentorheological fluid dampers [19] are some examples. The major limitations ofsthe Bouc-Wen models are associated with the parameters id... |

1 |
Differential Models of Hysteresis
- Visitian
- 1994
(Show Context)
Citation Context ...ition to the classical play operator of the PrandtlIshlinskii model so as to characterize asymmetric hysteresis nonlinearities of thesmagnetostrictive actuators. Brokate and Sprekels [2] and Visintin =-=[3]-=- have described asnonlinear play operator that may be applied to the Prandtl-Ishlinskii formulation tosdescribe symmetric as well as asymmetric output-input loops coupled with outputssaturation. A num... |

1 |
A parametric study of linear and nonlinear, Engineering structures
- Alhan, Gavin
(Show Context)
Citation Context ...owever, tends to decrease along a different path under asdecreasing input. This behavior of the output can be expressed as [3]:s&o_jMH0,y„(t)) for v(/)>os<*> UWO.J'.O)) for v(/)<0sHodgdon and Coleman =-=[18]-=- proposed a differential equation for the input magnetic fields(H) and the output flux density (B) to characterize hysteresis in ferromagnetic materialss11susing Duhem model. This model is analyticall... |

1 | Development and relative assessments of models for characterizing the current dependent hysteresis properties of magnetorheological fluid dampers
- Ma, Rakheja, et al.
- 2007
(Show Context)
Citation Context ...roposed to suit the observed hysteresis properties of different systems,smaterials, and actuators [78, 79]. Hysteretic systems including hysteretic isolators [18]sand magentorheological fluid dampers =-=[19]-=- are some examples. The major limitations ofsthe Bouc-Wen models are associated with the parameters identifications. The differentialsequation-based models are not invertible and thus cannot be applie... |

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Fast Preisach modeling method for shape memory Alloy actuators using major hysteresis loops
- Choi, Lee, et al.
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Citation Context ...curves) method in identifying different forms of the Preisach function was demonstratedsby Gorbet et al. [21, 60] to characterize the hysteresis properties of two different SMAsactuators. Choi et al. =-=[72]-=- proposed a proportional relationship between the majorshysteresis loop and FOD curves of a SMA actuator to further simplify the parameterssidentification of a hysteresis model-based modified operator... |