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Observer-based fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises

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  • Shiping Wen
  • Zhigang Zeng
  • Tingwen Huang

Abstract

This paper investigates the observer-based H∞ fuzzy control problem for a class of discrete-time fuzzy mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise both discrete time-varying and distributed delays. The random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based fuzzy feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance. Then a linear matrix inequality approach for designing such an observer-based H∞ fuzzy controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.

Suggested Citation

  • Shiping Wen & Zhigang Zeng & Tingwen Huang, 2015. "Observer-based fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 159-169, January.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:159-169
    DOI: 10.1080/00207721.2013.775390
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    References listed on IDEAS

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    1. T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 877-887.
    2. Iliana M. Meza-Sánchez & Luis T. Aguilar & Anton Shiriaev & Leonid Freidovich & Yury Orlov, 2011. "Periodic motion planning and nonlinear ℋ tracking control of a 3-DOF underactuated helicopter," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 829-838.
    3. Faiz Rasool & Sing Kiong Nguang, 2011. "Quantized robust ℋ control of discrete-time systems with random communication delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 129-138.
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