Robust H∞fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements

  • Authors:

  • Hongli Dong;Zidong Wang;Daniel W. C. Ho;Huijun Gao

  • Affiliations:

  • Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China, and College of Electrical and Information Engineering, Daqing Petroleum Institute, Daqing, Chi ...;Department of Information Systems and Computing, Brunei University, Uxbridge, U.K.;Department of Mathematics, 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

In this paper, the robust H∞-control problem is investigated for a class of uncertain discrete-time fuzzy systems with both multiple probabilistic delays and multiple missing measurements. A sequence of random variables, all of which are mutually independent but obey the Bernoulli distribution, is introduced to account for the probabilistic communication delays. The measurement-missing phenomenon occurs in a random way. The missing probability for each sensor satisfies a certain probabilistic distribution in the interval [01]. Here, the attention is focused on the analysis and design of H∞ fuzzy output-feedback controllers such that the closed-loop Takagi-Sugeno (T-S) fuzzy-control system is exponentially stable in the mean square. The disturbancerejection attenuation is constrained to a given level by means of the H∞-performance index. Intensive analysis is carried out to obtain sufficient conditions for the existence of admissible output feedback controllers, which ensures the exponential stability as well as the prescribed H∞ performance. The cone-complementarity-linearization procedure is employed to cast the controller-design problem into a sequential minimization one that is solved by the semi-definite program method. Simulation results are utilized to demonstrate the effectiveness of the proposed design technique in this paper.