#### DMCA

## Mixed Time/Frequency-Domain Based Robust

Citations: | 2 - 2 self |

### Citations

1078 | Semidefinite programming
- Vandenberghe, Boyd
- 1996
(Show Context)
Citation Context ... a feasible solution to the set of LMIs (31)—(33). Alternatively, it can be recast as the following standard generalized eigenvalue minimization problem (Nesterov and Nemirovski, 1990; Overton, 1988; =-=Vandenberghe and Boyd, 1996-=-): min �� X λM [!Z(X)](0 W X� � 0 �� 0 F �� subject to (32), (33) . � � It is interesting to analyze the extreme conditions on the a priori elements K and ρ. Note that for KPR, M � PM � , which is pos... |

74 | On minimizing the maximum eigenvalue of a symmetric matrix
- OVERTON
- 1988
(Show Context)
Citation Context ...lent to finding a feasible solution to the set of LMIs (31)—(33). Alternatively, it can be recast as the following standard generalized eigenvalue minimization problem (Nesterov and Nemirovski, 1990; =-=Overton, 1988-=-; Vandenberghe and Boyd, 1996): min �� X λM [!Z(X)](0 W X� � 0 �� 0 F �� subject to (32), (33) . � � It is interesting to analyze the extreme conditions on the a priori elements K and ρ. Note that for... |

69 |
Checking robust nonsingularity is NP-hard
- Poljak, Rohn
(Show Context)
Citation Context ...he other hand, the current state of the control design procedures prevents its application to system descriptions which include a large number of uncertainty blocks. Furthermore, in the case of real (=-=Poljak and Rohn, 1993-=-; Braatz, et al., 1994) and mixed (real#complex) uncertainty the computational complexity is NP-hard. As a consequence, from a purely numerical point of view, there is still research to be done which ... |

55 |
Model Validation: A Connection Between Robust Control and Identification
- Smith, Doyle
- 1992
(Show Context)
Citation Context ...hargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; =-=Smith and Doyle, 1992-=-). Classical parameter identification methods (Ljung, 1987), consider mainly a priori sets of parametric models and are based on a stochastic approach. The outcome of these identification procedures c... |

33 |
Control oriented system identification: A worst-case/deterministic approach
- Helmicki, Jacobson, et al.
- 1991
(Show Context)
Citation Context ...der). Since the proposed algorithm is interpolatory, it has several advantages over the usual ‘‘two step’’ algorithms sometimes used in the context of robust identification (Gu and Khargonekar, 1992; =-=Helmicki et al., 1991-=-). In particular, since the identified model is in the set S(y�, y�), its distance to the Chebyshev center of this set is within the diameter of information (Mäkila¨ , 1992). As a consequence the algo... |

23 | Computational complexity of µ calculation
- Braatz, Young, et al.
- 1994
(Show Context)
Citation Context ...ent state of the control design procedures prevents its application to system descriptions which include a large number of uncertainty blocks. Furthermore, in the case of real (Poljak and Rohn, 1993; =-=Braatz, et al., 1994-=-) and mixed (real#complex) uncertainty the computational complexity is NP-hard. As a consequence, from a purely numerical point of view, there is still research to be done which should produce algorit... |

23 |
A class of algorithms for identification in h
- Gu, Khargonekar
- 1992
(Show Context)
Citation Context ...trónica, Fac. de Ingeniería, Univ. de Buenos Aires, Argentina. Identification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; =-=Gu and Khargonekar, 1992-=-; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle,... |

22 |
Optimization over Positive Semidefinite Matrices: Mathematical Background and User’s Manual
- NESTEROV, NEMIROVSKII
- 1990
(Show Context)
Citation Context ...fication 1381 problem is equivalent to finding a feasible solution to the set of LMIs (31)—(33). Alternatively, it can be recast as the following standard generalized eigenvalue minimization problem (=-=Nesterov and Nemirovski, 1990-=-; Overton, 1988; Vandenberghe and Boyd, 1996): min �� X λM [!Z(X)](0 W X� � 0 �� 0 F �� subject to (32), (33) . � � It is interesting to analyze the extreme conditions on the a priori elements K and ρ... |

16 |
Fuzzy Damage Mitigating Control of Mechanical Structures
- Holmes, Ray
- 1997
(Show Context)
Citation Context ...erpolating function for both types of data. Example 2. Next we illustrate the proposed framework by applying it to the problem of identifying a flexible structure used as a damage mitigation testbed (=-=Tangirala et al., 1995-=-). The structure is a two degree of freedom mass—beam system1386 P. A. Parrilo et al. Fig. 3. l� identification: (a) nominal model, (b) identification error. consisting of two discrete masses support... |

14 |
Robust Identification and Galois Sequences
- Makila
- 1991
(Show Context)
Citation Context ...entification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; =-=Mäkilä, 1991-=-a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (L... |

13 |
Identification
- Partington
- 1997
(Show Context)
Citation Context ... posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and =-=Partington, 1992-=-; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (Ljung, 1987), consider mainly a priori s... |

11 | H∞ identification of multivariable systems by tangential interpolation methods - Chen, Farrell, et al. - 1996 |

11 | SP: Software for semidefinite programming - Vandenberghe, Boyd - 1994 |

9 |
Time domain identification for robust control
- Zhou, Kimura
- 1993
(Show Context)
Citation Context ... fact it can be shown that there is no untuned algorithm capable of identifying a system using only impulse response measurements (Jacobson et al., 1992). Finally, recent papers (Chen and Nett, 1995; =-=Zhou and Kimura, 1993-=-) proposed interpolatory algorithms that use data obtained from time domain experiments to generate a nominal model together with an H � bound on the identification error. In this paper we propose a n... |

5 | Approximation of infinite dimensional systems - Gu, Khargonekar, et al. - 1989 |

5 | Discrete Fourier transform and H x approximation - Wu, Gu - 1990 |

4 | Worst-case input-output identification - Makila - 1992 |

4 | A Nevanlinna-Pick approach to time domain Constrained 7&, control - Rotstein |

3 |
WorstCase System Identification in e,: Optimal algorithms and Error Bounds
- Jacobson, Nett, et al.
- 1992
(Show Context)
Citation Context ...os Aires, Argentina. Identification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; =-=Jacobson et al., 1992-=-; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identificat... |

2 |
Worst-case System Identification in E,: Validation of Apriori Information, Essentially Optimal Algorithms, and Error Bounds
- Chen, Nett, et al.
- 1992
(Show Context)
Citation Context ... and Depto. de Electrónica, Fac. de Ingeniería, Univ. de Buenos Aires, Argentina. Identification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (=-=Chen et al., 1992-=-; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galar... |

2 |
System Identification: heory for the ºser
- Ljung
- 1987
(Show Context)
Citation Context ...1a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (=-=Ljung, 1987-=-), consider mainly a priori sets of parametric models and are based on a stochastic approach. The outcome of these identification procedures consists of a nominal model and confidence bounds on the pa... |

2 |
Identification of stabilizable systems: closed-loop approximation
- Makila
- 1991
(Show Context)
Citation Context ...entification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; =-=Mäkilä, 1991-=-a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (L... |

1 |
The Carathéodory-Fejér problem and/identification: A time domain approach
- Chen, Nett
- 1995
(Show Context)
Citation Context ...(Mäkila¨ , 1991b). In fact it can be shown that there is no untuned algorithm capable of identifying a system using only impulse response measurements (Jacobson et al., 1992). Finally, recent papers (=-=Chen and Nett, 1995-=-; Zhou and Kimura, 1993) proposed interpolatory algorithms that use data obtained from time domain experiments to generate a nominal model together with an H � bound on the identification error. In th... |

1 |
Worst-case system identification in l � : error bounds, optimal models and model reduction
- Hakvoort
- 1992
(Show Context)
Citation Context ...a, Univ. de Buenos Aires, Argentina. Identification problem was originally posed in Helmicki et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; =-=Hakvoort, 1992-=-; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classica... |

1 | Analytic Function heory. Vol. I - Hille - 1962 |

1 | 56(3), 673—689. time/frequency domain based robust identification 1389 - Control - 1992 |

1 |
Worst-case l � identification
- Milanese
- 1994
(Show Context)
Citation Context ... et al. (1991) and has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; =-=Milanese, 1994-=-; Parrilo et al., 1994; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (Ljung, 1987), consider mainly a priori sets of parametri... |

1 |
Tuned l � identification from impulse response data: application to a fluid dynamics problem
- Parrilo, a, et al.
- 1994
(Show Context)
Citation Context ...nd has since attracted considerable attention (Chen et al., 1992; Gu and Khargonekar, 1992; Hakvoort, 1992; Jacobson et al., 1992; Mäkilä, 1991a, b, 1992; Mäkilä and Partington, 1992; Milanese, 1994; =-=Parrilo et al., 1994-=-; Partington, 1992; Sánchez Pen� a and Galarza, 1994; Smith and Doyle, 1992). Classical parameter identification methods (Ljung, 1987), consider mainly a priori sets of parametric models and are based... |

1 | Sánchez Pen� a - Parrilo, Sznaier, et al. - 1996 |

1 | Practical issues in robust identification - a, S, et al. - 1994 |

1 |
Robust identification with mixed time/frequency experiments: consistency and interpolation algorithms
- a, S, et al.
- 1995
(Show Context)
Citation Context ...ng function for both types of data. Example 2. Next we illustrate the proposed framework by applying it to the problem of identifying a flexible structure used as a damage mitigation testbed (Tangiral=-=a et al., 1995-=-). The structure is a two degree of freedom mass—beam system1386 P. A. Parrilo et al. Fig. 3. l� identification: (a) nominal model, (b) identification error. consisting of two discrete masses support... |