Fuzzy-model-based piecewise H∞ static-output-feedback controller design for networked nonlinear systems

  • Authors:

  • Jianbin Qiu;Gang Feng;Huijun Gao

  • Affiliations:

  • Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China and Department of Manufacturing Engineering and Engineering Management, City University of Hong ...;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2010

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Abstract

This paper investigates the problem of robust H∞ output-feedback control for a class of nonliner systems under unreliable communication links. The nonlinear plant is represented by a Takagi-Sugeno (T-S) uncertain fuzzy model, and the communication links between the plant and controller are assumed to be imperfect, i.e., data-packet dropouts occur intermittently, which is often the case in a network environment. Stochastic variables that satisfy the Bernoulli random-binary distribution are adopted to characterize the data-missing phenomenon, and the attention is focused on the design of a piecewise static-output-feedback (SOF) controller such that the closed-loop system is stochastically stable with a guaranteed H∞ performance. Based on a piecewise Lyapunov function combined with some novel convexifying techniques, the solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, simulation examples are also provided to illustrate the effectiveness of the proposed approaches.