Passivity analysis and passive control of fuzzy systems with time-varying delays

Baoyong Zhang; Wei Xing Zheng; Shengyuan Xu

doi:10.1016/j.fss.2011.02.021

Passivity analysis and passive control of fuzzy systems with time-varying delays

Baoyong Zhang, Wei Xing Zheng, Shengyuan Xu

Research output: Contribution to journal › Article › peer-review

61 Citations (Scopus)

Abstract

This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is very-strictly passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict linear matrix inequalities (LMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	83-98
Number of pages	16
Journal	Fuzzy Sets and Systems
Volume	174
Issue number	1
DOIs	https://doi.org/10.1016/j.fss.2011.02.021
Publication status	Published - 2011

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10.1016/j.fss.2011.02.021

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abstract = "This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is very-strictly passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict linear matrix inequalities (LMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method.",

author = "Baoyong Zhang and Zheng, {Wei Xing} and Shengyuan Xu",

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AU - Zhang, Baoyong

AU - Zheng, Wei Xing

AU - Xu, Shengyuan

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N2 - This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is very-strictly passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict linear matrix inequalities (LMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method.

AB - This paper is concerned with the passive controller design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with both state and input delays. The delays are assumed to be time-varying and differentiable. A notion of very-strict passivity is adopted. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is very-strictly passive (VSP). Delay-dependent conditions for the solvability of the addressed problem are obtained by applying recently developed techniques for time-delay systems and fuzzy systems. These conditions are expressed by means of strict linear matrix inequalities (LMIs) that can be easily solved. A numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method.

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1

ER -

Passivity analysis and passive control of fuzzy systems with time-varying delays

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