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

  • Authors:

  • Baoyong Zhang;Wei Xing Zheng;Shengyuan Xu

  • Affiliations:

  • School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China and School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 17 ...;School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 1797, Australia;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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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.