Stabilization for T-S model based uncertain stochastic systems
作者： Shaosheng Zhou , Wenyan Ren , James Lam
DOI: 10.1016/J.INS.2010.11.002
关键词:
摘要: This paper considers the stabilization problem of a class uncertain Ito stochastic fuzzy systems driven by multidimensional Wiener process. The uncertainty modeled in is linear fractional type which includes norm-bounded as special case. objective to design state-feedback controller such that closed-loop system robustly asymptotically stable under setting. By using Lyapunov approach, sufficiency conditions for stability and this are established based on novel matrix decomposition technique. derived then employed controllers stabilize systems. Two simulation examples given illustrate effectiveness approaches proposed.
core.ac.uk
acm.org
elsevier.com
sci-hub.se 参考文章(29)
Xuerong Mao, Stochastic Differential Equations and Applications ,(2008)
Shengyuan Xu, Tongwen Chen, Robust H/spl infin/ control for uncertain stochastic systems with state delay IEEE Transactions on Automatic Control. ,vol. 47, pp. 2089- 2094 ,(2002) , 10.1109/TAC.2002.805670
Shaosheng Zhou, Gang Feng, James Lam, Shengyuan Xu, Robust H ∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions Information Sciences. ,vol. 174, pp. 197- 217 ,(2005) , 10.1016/J.INS.2004.07.015
LIHUA XIE, Output feedback H∞ control of systems with parameter uncertainty International Journal of Control. ,vol. 63, pp. 741- 750 ,(1996) , 10.1080/00207179608921866
Shaosheng Zhou, James Lam, Robust stabilization of delayed singular systems with linear fractional parametric uncertainties Circuits Systems and Signal Processing. ,vol. 22, pp. 579- 588 ,(2003) , 10.1007/S00034-003-1218-X
Shaosheng Zhou, James Lam, Wei Xing Zheng, Control Design for Fuzzy Systems Based on Relaxed Nonquadratic Stability and $H_{\infty}$ Performance Conditions IEEE Transactions on Fuzzy Systems. ,vol. 15, pp. 188- 199 ,(2007) , 10.1109/TFUZZ.2006.879996
Laurent El Ghaoui, Gérard Scorletti, Control of rational systems using linear-fractional representations and linear matrix inequalities☆ Automatica. ,vol. 32, pp. 1273- 1284 ,(1996) , 10.1016/0005-1098(96)00071-4
Shengyuan Xu, James Lam, Xuerong Mao, Delay-Dependent $H_{\infty }$ Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays IEEE Transactions on Circuits and Systems. ,vol. 54, pp. 2070- 2077 ,(2007) , 10.1109/TCSI.2007.904640
Chen-Sheng Ting, Stability analysis and design of Takagi-Sugeno fuzzy systems Information Sciences. ,vol. 176, pp. 2817- 2845 ,(2006) , 10.1016/J.INS.2005.06.005
Xiaodong Liu, Qingling Zhang, None, Approaches to quadratic stability conditions and H/sub /spl infin// control designs for T-S fuzzy systems IEEE Transactions on Fuzzy Systems. ,vol. 11, pp. 830- 839 ,(2003) , 10.1109/TFUZZ.2003.819834