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State and unknown inputs estimation for Takagi–Sugeno systems with immeasurable premise variables: Proportional Multiple Integral observer design

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  • Ouhib, Lamia

Abstract

In this work, we focus on the design of a Proportional Multiple Integral (PMI) observer for Takagi–Sugeno (T–S) fuzzy systems with immeasurable premise variables subjected to unknown inputs. The LMI-based stability conditions are significantly relaxed by the introduction of an output error injection in the premise variable of the PMI observer. The efficiency of the proposed observer is finally illustrated by a simulation example of a chaotic system.

Suggested Citation

  • Ouhib, Lamia, 2020. "State and unknown inputs estimation for Takagi–Sugeno systems with immeasurable premise variables: Proportional Multiple Integral observer design," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 167(C), pages 372-380.
    • Handle: RePEc:eee:matcom:v:167:y:2020:i:c:p:372-380
    DOI: 10.1016/j.matcom.2018.05.013
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    Cited by:

    1. Lu, Xuchen & Ren, Junchao, 2023. "Robust (Q,S,R)−α-dissipative event-triggered sliding mode control of discrete T-S fuzzy descriptor systems with partial unmeasurable premise variables," Applied Mathematics and Computation, Elsevier, vol. 451(C).

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