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The problems of the discrete fuzzy controller design for the ship motion system and the stability analysis for the closed-loop discrete fuzzy system are studied. Firstly, a discrete T-S fuzzy model of the ship motion system is established; then, by using the method of parallel distributed compensation, a new sufficient condition to check the stability of the closed-loop discrete T-S fuzzy system is...
The goal of this paper is, via dissipative theory, to design a dissipative filter for a class of nonlinear systems described by Takagi-Sugeno (TS) fuzzy model. We first reformulate the problems in an estimation/filtering error system such that the error system is dissipatively asymptotically stable with respect to a specifically chosen quadratic supply rate. Then we derive the synthesis conditions...
Based on Takagi-Sugeno fuzzy model, this paper adopts the piecewise fuzzy Lyapunov function into the analysis of nonlinear discrete systems with parametric uncertainties. Firstly, a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy systems is proposed after the definition of a discrete piecewise fuzzy Lyapunov function. This condition only needs to satisfy the condition...
This paper deals with the stability analysis and the stabilization control law for a class of discrete Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. Based on the nonquadratic Lyapunov function constructed here, the stability analysis and the design way of stabilization control law are derived in the form of linear matrix inequality (LMI) via a nonparallel distributed compensation...
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