6533b831fe1ef96bd1298d54

RESEARCH PRODUCT

Stability analysis and H<inf>∞</inf> controller design of a class of switched discrete-time fuzzy systems

Hamid Reza KarimiLixian ZhangXudong ZhaoYong Chen

subject

Lyapunov functionNonlinear systemsymbols.namesakeDwell timeDiscrete time and continuous timeControl theoryStability (learning theory)symbolsSymmetric matrixFuzzy control systemMathematics

description

In this paper, the problems of stability analysis and H ∞ controller design of a class of switched nonlinear systems are investigated. In a classical way, the modeling of the systems is approached by switched fuzzy systems, and both fast switching and slow switching are considered there. In particular, for slow switching scheme, a new mode-dependent average dwell time switching is proposed for the underlying switched fuzzy systems. Based on a fuzzy-basis-dependent and mode-dependent Lyapunov function, the H ∞ state-feedback controller is derived. A numerical example is given to show the validity and potential of the theoretical results.

https://doi.org/10.1109/cdc.2011.6161132