DELAY-DEPENDENT H-infinity RESILIENT OUTPUT FUZZY CONTROL FOR NONLINEAR DISCRETE-TIME SYSTEMS WITH TIME-DELAY

作者：Kchaou Mourad^*; Toumi Ahmed; Souissi Mansour

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2011, 19(2): 229-250.

DOI：10.1142/S0218488511006988

• Discrete time-delay fuzzy systems
• non-fragile H-infinity control
• static output feedback, LMIs
• homotopy method

This paper is concerned with the problem of non-fragile (resilient) H-infinity control for a class of state-delay nonlinear discrete-time systems described by (TS) fuzzy models where both the state feedback and static out feedback are investigated. Based on basis-dependent Lyapunov-krasovskii function, sufficient conditions are derived to achieve the system stability and the H-infinity performance. The linear matrix inequality (LMI) approach is proposed to obtain the state-feedback gains, and a homotopy-based iterative LMI algorithm is developed to get the static output feedback gains. An illustrative example show the effectiveness and the feasibility of the theoretical developments.

• 出版日期2011-4