Robust controller design for linear polytopic systems
Kybernetika (2006)
- Volume: 42, Issue: 1, page 95-110
- ISSN: 0023-5954
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topVeselý, Vojtech. "Robust controller design for linear polytopic systems." Kybernetika 42.1 (2006): 95-110. <http://eudml.org/doc/33794>.
@article{Veselý2006,
abstract = {The paper addresses the problem of the robust output feedback controller design with a guaranteed cost and parameter dependent Lyapunov function for linear continuous time polytopic systems. Two design methods based on improved robust stability conditions are proposed. Numerical examples are given to illustrate the effectiveness of the proposed methods. The obtained results are compared with other three design procedures.},
author = {Veselý, Vojtech},
journal = {Kybernetika},
keywords = {robust control; linear polytopic systems; output feedback; LMI approach; robust control; linear polytopic system; output feedback; LMI approach},
language = {eng},
number = {1},
pages = {95-110},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust controller design for linear polytopic systems},
url = {http://eudml.org/doc/33794},
volume = {42},
year = {2006},
}
TY - JOUR
AU - Veselý, Vojtech
TI - Robust controller design for linear polytopic systems
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 1
SP - 95
EP - 110
AB - The paper addresses the problem of the robust output feedback controller design with a guaranteed cost and parameter dependent Lyapunov function for linear continuous time polytopic systems. Two design methods based on improved robust stability conditions are proposed. Numerical examples are given to illustrate the effectiveness of the proposed methods. The obtained results are compared with other three design procedures.
LA - eng
KW - robust control; linear polytopic systems; output feedback; LMI approach; robust control; linear polytopic system; output feedback; LMI approach
UR - http://eudml.org/doc/33794
ER -
References
top- Apkarian P., Feron, E., Gahinet P., Parameter-dependent Lyapunov functions for robust control of systems with real parametric uncertainty, In: Proc. 3rd EEC, Rome 1995, pp. 2275–2280 (1995)
- Bachelier O., Bernussou J., Oliveira M. C. de, Geromel J. C., Parameter dependent Lyapunov control design: Numerical evaluation, In: Proc. 38th Conference on DC, Phoenix 1999, Arizona, pp. 293–297 (1999)
- Jr. R. J. Benton, Smith D., 10.1080/002071799220290, Internat. J. Control 72 (1999), 14, 1322–1330 (1999) Zbl0960.93048MR1712166DOI10.1080/002071799220290
- Boyd S., Ghaoui L. El, Feron, E., Balakrishnan V., Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia 1994 Zbl0816.93004MR1284712
- Chilali M., Gahinet, P., Apkarian P., 10.1109/9.811208, IEEE Trans. Automat. Control 44 (1999), 12, 2257–2267 (1999) MR1728961DOI10.1109/9.811208
- Dettori M., Scherer W. C., New robust stability and performance conditions based on parameter dependent multiplier, In: Proc. 39th IEEE Conference on Decision and Control, Sydney 2000, CD-ROM
- Gahinet P., Apkarian, P., Chilali M., Affine parameter-dependent Lyapunov functions and real parametric uncertainty, IEEE Trans. Circuits and Systems 41 (1996), 3, 436–442 (1996) Zbl0854.93113MR1382994
- Grman L., Rosinová D., Kozáková, A., Veselý V., 10.1080/00207720500389592, Internat. J. System Sci. 36 (2005), 15, 961–973 Zbl1126.93409MR2192005DOI10.1080/00207720500389592
- Han J., Skelton R. E., An LMI optimization approach for structured linear controllers, In: Proc. 42th IEEE Conference on Decision and Control, Maui 2003, pp. 5143–5148
- Henrion D., Alzelier, D., Peaucelle D., Positive polynomial matrices and improved robustness conditions, In: 15th Triennial World Congress of the International Federation of Automatic Control, Barcelona 2002, CD-ROM
- Henrion D., Sagimoto,, Kenji, Šebek M., Rank-one LMI approach to robust stability of polynomial matrices, Kybernetika 38 (2002), 5, 643–656 MR1966952
- Kučera V., Souza C. E. De, 10.1016/0005-1098(95)00048-2, Automatica 31 (1995), 9, 1357–1359 (1995) MR1349414DOI10.1016/0005-1098(95)00048-2
- Oliveira M. C. de, Bernussou, J., Geromel J. C., 10.1016/S0167-6911(99)00035-3, Systems Control Lett. 37 (1999), 261–265 (1999) Zbl0948.93058MR1751256DOI10.1016/S0167-6911(99)00035-3
- Oliveira M. C. de, Camino J. F., Skelton R. E., A convexifying algorithm for the design of structured linear controllers, In: Proc. 39th IEEE Conference on Decision and Control, Sydney 2000, pp. 2781–2786
- Peaucelle D., Arzelier D., Bachelier O., Bernussou J., 10.1016/S0167-6911(99)00119-X, Systems Control Lett. 40 (2000), 21–30 Zbl0977.93067MR1829071DOI10.1016/S0167-6911(99)00119-X
- Rosinová D., Veselý V., Robust output feedback design of linear discrete–time systems: LMI Approach, In: 4th IFAC Symposium on Robust Control Design, Milano 2003, CD-ROM
- Skelton R. E., Iwasaki, T., Grigoriadis K., A Unified Algebraic Approach to Linear Control Design, Taylor and Francis, London 1998 MR1484416
- Takahashi R. H. C., Ramos D. C. W., Peres P. L. D., Robust control synthesis via a genetic algorithm and LMI’s, In: 15th Triennial World Congress of the International Federation of Automatic Control, Barcelona 2002, CD-ROM
- Veselý V., Static output feedback controller design, Kybernetika 37 (2001), 2, 205–221 MR1839228
- Veselý V., Robust output feedback control synthesis: LMI approach, In: 3rd IFAC Conference on Control System Design, Bratislava 2003, CD-ROM
- Cao, Yong Yan, Sun, You Xian, 10.1080/002071798222145, LMI approach. Internat. J. Control 70 (1998), 5, 803–814 (1998) Zbl0930.93066MR1634668DOI10.1080/002071798222145
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