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A robust -tracking design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using descriptor redundancy approach

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  • Mohammad Hassan Asemani
  • Vahid Johari Majd

Abstract

This paper addresses a robust H∞ fuzzy observer-based tracking design problem for uncertain Takagi–Sugeno fuzzy systems with external disturbances. To have a practical observer-based controller, the premise variables of the system are assumed to be not measurable in general, which leads to a more complex design process. The tracker is synthesised based on a fuzzy Lyapunov function approach and non-parallel distributed compensation (non-PDC) scheme. Using the descriptor redundancy approach, the robust stability conditions are derived in the form of strict linear matrix inequalities (LMIs) even in the presence of uncertainties in the system, input, and output matrices simultaneously. Numerical simulations are provided to show the effectiveness of the proposed method.

Suggested Citation

  • Mohammad Hassan Asemani & Vahid Johari Majd, 2015. "A robust -tracking design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using descriptor redundancy approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(16), pages 2955-2972, December.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2955-2972
    DOI: 10.1080/00207721.2014.884252
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    References listed on IDEAS

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    1. Flávio Faria & Geraldo Silva & Vilma Oliveira, 2013. "Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1956-1969.
    2. Xiao-Heng Chang & Guang-Hong Yang & Haibo Wang, 2011. "Observer-based -control for discrete-time T–S fuzzy systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(10), pages 1801-1809.
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