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Passive Fuzzy Control Design for a Class of Nonlinear Distributed Parameter Systems with Time-varying Delay

Xunwu Yin, Xiaona Song*, and Mi Wang
International Journal of Control, Automation, and Systems, vol. 18, no. 4, pp.911-921, 2020

Abstract : This paper is devoted to studying the issue of passive fuzzy controller design for a class of nonlinear distributed parameter systems represented by semi-linear parabolic partial differential equations. The main objective of this paper is to develop two kinds of fuzzy controllers, one is static output feedback controller (SOFC), the other is dynamic output feedback controller (DOFC), which can guarantee both the stability and passivity of the designed closed-loop system. For the purpose of achieving the anticipated target, in this paper, the semi-linear parabolic PDE systems are assumed to be exactly represented by a Takagi-Sugeno (T-S) fuzzy parabolic PDE model. Furthermore, two examples are given to demonstrate the effectiveness of the controller design scheme.

Keyword : DOFC, passivity, semi-linear parabolic PDE systems, SOFC, T-S fuzzy model.

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