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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BAT5-0070-0002

Czasopismo

Control and Cybernetics

Tytuł artykułu

Robust H∞ control for uncertain neutral time-delay systems with discrete and distributed delays

Autorzy Sun, M.  Fu, D. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN In this paper, the robust H∞ control problem is considered for uncertain neutral systems with discrete and distributed tirne delays. Some sumcient conditions on H∞, robust performance analysis are obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. Based on these conditions the state-feedback H∞ controller is designed. Numerical examples are included to illustrate the proposed method.
Słowa kluczowe
EN time-delay   linear matrix inequalities   uncertain neutral systems   H[infinity] control  
Wydawca Systems Research Institute, Polish Academy of Sciences
Czasopismo Control and Cybernetics
Rocznik 2011
Tom Vol. 40, no 1
Strony 25--38
Opis fizyczny Bibliogr. 15 poz.
Twórcy
autor Sun, M.
autor Fu, D.
  • Department of Automation and Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, Hebei, China, sun7661@126.com
Bibliografia
CHEN, J.D. (2006) LMI approach to robust delay-dependent mixed H2/H∞ controller of uncertain neutral systems with discrete and distributed time-yarying delays. Journal of Optimization Theory and Applications 131(3), 383-403.
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FRIDMAN, E. (2001) New Lyapuno-Krasovskii functionals for stability of linear retarded and neutral type systems. Systems and Control Letters 43(4), 309-319.
FRIDMAN, E. and SHAKED, U. (2002) A descriptor system approach to H∞ control of linear time-delay systems. IEEE Transactions on Automatic Control 47(2), 253-270.
GU, K. and NICULESCU, S.I. (2001) Further remarks on additional dynamics in various model transformations of linear delay systems. IEEE Transactions on Automatic Control 46(3), 497-500.
IVANESCU,D., DION, J.M., DUGARD, L. and NICULESCU, S.I. (2000) On delay-dependent stability of linear neutral systems. Proceedings of the 2nd IFAC Workshop Linear Time Delay Systems, 117-122.
KARIMI, H. and LUO, N. (2008) Robust mixed H2/H∞ control of uncertain neutral systems with time-varying delays. Proceedings of the 17th World Congress of the International Federation of Automatic Control, 4899-4904.
LIEN, C.H., Yu, K.W. and HSIEH, J.G. (2000) Stability conditions for a class of neutral systems with multiple time delays. Journal of Mathematical Analysis and Applications 245, 20-27.
LOGEMANN, H. and TOWNLEY, S. (1995) The effect of smali delays in the feedback loop on the stability of the neutral systems. Systems and Control Letters 27(5), 267-274.
MAHMOUD, M. (2000) Robust H∞ control of linear neutral systems. Automatica 36(5), 757-764.
PARK, P. (1999) A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control 44(4), 876-877.
PARK, J.H. and WON, S. (2000) Stability of neutral delay-differential systems with nonlinear perturbations. International Journal of Systems Science 31, 961-967.
VERRIEST, E. and NICULESCU, S.I. (1998) Delay-independent stability of linear neutral systems: A Riccati equation approach. Stability and Control of Time-Delay Systems 228, 92-100.
XU, S., LAM, J. and YANG, C. (2001) H∞ and positive-real control for linear neutral delay systems. IEEE Transactions on Automatic Control 46(8), 1321-1326.
YUE, D., WON, S. and KWON, O. (2003) Delay dependent stability of neutral systems with time delay: an LMI approach. IEE Proceedings of Control Theory and Applications 150(1), 23-27.
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