## Constrained Minimum Crest Factor Multisine Signals for "Plant-Friendly" Identification of Highly Interactive Systems (2003)

Venue: | In: 13th IFAC Symp. on System Identification. Rotterdam |

Citations: | 7 - 5 self |

### BibTeX

@INPROCEEDINGS{Lee03constrainedminimum,

author = {Hyunjin Lee and Daniel E. Rivera and Hans D. Mittelmann},

title = {Constrained Minimum Crest Factor Multisine Signals for "Plant-Friendly" Identification of Highly Interactive Systems},

booktitle = {In: 13th IFAC Symp. on System Identification. Rotterdam},

year = {2003},

pages = {947--952}

}

### OpenURL

### Abstract

Highly interactive systems are ill-conditioned and highly sensitive to model uncertainty, which imposes limitations to achievable closed-loop performance. In this paper, the goal is to develop an identification testing framework meaningful to highly interactive systems based on the application of constrained minimum crest factor multisine signals.

### Citations

38 |
An interior point method for large scale nonlinear programming
- Byrd, Hribar, et al.
- 1999
(Show Context)
Citation Context ...a's algorithm. Recent approaches involve a direct min-max solution where the nonsmoothness in the problem is transferred to the constraints. In particular, the trust region, interior point method by (=-=Byrd et al., 1999-=-) has been used for all examples in this paper. This method, as implemented in versions 2.1 and most recently 3.0 of KNITRO, performed in the overall most efficient and robust fashion compared to seve... |

15 | Crest-factor minimization using nonlinear Chebyshev approximation methods
- Guillaume, Schoukens, et al.
- 1991
(Show Context)
Citation Context ...re the phase angles, # ji represents the Fourier coefficients defined by the user,s# ji ,sa ji are the "snow effect" Fourier coefficients, and # i =2#i/N s T is the frequency grid. The "=-=;snow effect" (Guillaume et al., 1991-=-) refers to sinusoids where both Fourier coefficients and phases are selected by the optimizer. In the design procedure presented in this paper, the primary frequency bound of interest for excitation ... |

8 |
plant-friendlyā€¯ system identification: a challenge for the process industries
- Rivera, Lee, et al.
- 2003
(Show Context)
Citation Context ...ramework relies on the use of constrained minimum crest factor multisine signals that have been previously proposed for SISO systems (Braun et al., 2002). Signals conducive to "plant-friendly&quo=-=t; tests (Rivera et al., 2003-=-) are generated through the use of powerful constrained optimization techniques that minimize crest factor while enforcing constraints on magnitude and move sizes of both input and output signals. To ... |

7 |
Application of Minimum Crest Factor Multisinusoidal Signals for `Plant-Friendly
- Braun, Ortiz-Mojica, et al.
(Show Context)
Citation Context ...t is applicable to highly interactive multivariable systems. The framework relies on the use of constrained minimum crest factor multisine signals that have been previously proposed for SISO systems (=-=Braun et al., 2002). Signals-=- conducive to "plant-friendly" tests (Rivera et al., 2003) are generated through the use of powerful constrained optimization techniques that minimize crest factor while enforcing constraint... |

6 |
Comparison of perturbation signal for linear system identification in the frequency domain
- Godfrey, Barker, et al.
- 1999
(Show Context)
Citation Context ...t al., 2002), since identification tests with equivalent information content can be performed over lower input (or output) spans. Alternatively, the Performance Index for Perturbation Signals (PIPS) (=-=Godfrey et al., 199-=-9) defined by PIPS(%) = 200 2 rms -u 2 mean umax -umin (8) is a convenient measure of signal distribution. The PIPS measurement ranges only between 0 and 100% (compared to 1 versus # for crest factor... |

6 |
Lv-control of a high-purity distillation column
- Skogestad, Morari
- 1988
(Show Context)
Citation Context ...em identification and robust control design in the process 1 To whom all correspondence should be addressed; phone: (480)965-9476, Email: daniel.rivera@asu.edu industries (Andersen and K ummel, 1992; =-=Skogestad and Morari, 1988-=-). In this paper, the primary purpose is to develop an identification testing framework that is applicable to highly interactive multivariable systems. The framework relies on the use of constrained m... |

3 |
A control-relevant multivariable system identification methodology based on orthogonal multifrequency input perturbations
- Rivera, Zong, et al.
- 1997
(Show Context)
Citation Context ...paper. In this case study, a series of problem formulations based on the system per (16) are considered, as noted below, (1) Minimize the maximum crest factor of u using a standard zippered spectrum (=-=Rivera et al., 1997-=-), (2) Minimize the maximum crest factor of u using a modified zippered spectrum (per Figure 1), (3) Minimize the maximum crest factor of y using a modified zippered spectrum subject to constraints on... |

3 | Some study on identification of ill-conditioned processes for control - Stec, Zhu - 2001 |

2 |
Constrained multisine inputs for plantfriendly identification of chemical process
- Rivera, Braun, et al.
- 2002
(Show Context)
Citation Context ...nic suppression (a key consideration in the identification of nonlinear systems) , and control-relevance can be satisfied without loss of generality through the specification of Fourier coefficients (=-=Rivera et al., 2002). 2.2 Modified &quo-=-t;Zippered" Power Spectrum Design In the standard "zippered" design procedure described in Rivera et al. (1997), Fourier coefficients for each channel are defined independently over the... |

1 | ummel - Andersen, K - 1992 |