Robust H1 control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach

作者: S.K. Nguang , P. Shi , W. Assawinchaichote

DOI: 10.1049/IET-CTA:20060369

关键词: Linear matrix inequalitySingular perturbationControl theoryNonlinear controlNonlinear systemMathematicsJump processFuzzy logicFuzzy control systemRobust control

摘要: … -conditioning resulting from the interaction of slow and fast dynamic modes, solutions to the problems are given in terms of linear matrix inequalities that are independent of the singular …

参考文章(35)
Harold J. Kushner, Stochastic Stability and Control ,(2012)
W. Assawinchaichote, Sing Kiong Nguang, Fuzzy observer-based controller design for singularly perturbed nonlinear systems: an LMI approach Proceedings of the 41st IEEE Conference on Decision and Control, 2002.. ,vol. 2, pp. 2165- 2170 ,(2002) , 10.1109/CDC.2002.1184852
E.K. Boukas, G.X. Liu, Delay-dependent robust stability and H/sub /spl infin// control of jump linear systems with time-delay conference on decision and control. ,vol. 2, pp. 1521- 1526 ,(2000) , 10.1109/CDC.2000.912075
M. Ait-Rami, L. El Ghaoui, H/sub /spl infin// state-feedback control of jump linear systems conference on decision and control. ,vol. 1, pp. 951- 952 ,(1995) , 10.1109/CDC.1995.479108
Hassan K. Khalil, John O'Reilly, Petar Kokotović, Singular Perturbation Methods in Control: Analysis and Design ,(1986)
Sing Kiong Nguang, Robust nonlinear H/sub ∞/-output feedback control IEEE Transactions on Automatic Control. ,vol. 41, pp. 1003- 1007 ,(1996) , 10.1109/9.508905
Peng Shi, V. Dragan, Asymptotic H/sub /spl infin// control of singularly perturbed systems with parametric uncertainties IEEE Transactions on Automatic Control. ,vol. 44, pp. 1738- 1742 ,(1999) , 10.1109/9.788543
P. Shi, E. K. Boukas, H ∞ -control for Markovian jumping linear systems with parametric uncertainty Journal of Optimization Theory and Applications. ,vol. 95, pp. 75- 99 ,(1997) , 10.1023/A:1022683311870
Sing Kiong Nguang, Peng Shi, H/sub /spl infin// fuzzy output feedback control design for nonlinear systems: an LMI approach IEEE Transactions on Fuzzy Systems. ,vol. 11, pp. 331- 340 ,(2003) , 10.1109/TFUZZ.2003.812691
Z. Han, G. Feng, State feedback H/sup /spl infin// controller design of fuzzy dynamic systems using LMI techniques ieee international conference on fuzzy systems. ,vol. 1, pp. 538- 544 ,(1998) , 10.1109/FUZZY.1998.687543