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Non-monotonic robust H fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties

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  • Siavash Fakhimi Derakhshan
  • Alireza Fatehi

Abstract

A non-monotonic Lyapunov function (NMLF) is deployed to design a robust H2 fuzzy observer-based control problem for discrete-time nonlinear systems in the presence of parametric uncertainties. The uncertain nonlinear system is presented as a Takagi and Sugeno (T–S) fuzzy model with norm-bounded uncertainties. The states of the fuzzy system are estimated by a fuzzy observer and the control design is established based on a parallel distributed compensation scheme. In order to derive a sufficient condition to establish the global asymptotic stability of the proposed closed-loop fuzzy system, an NMLF is adopted and an upper bound on the quadratic cost function is provided. The existence of a robust H2 fuzzy observer-based controller is expressed as a sufficient condition in the form of linear matrix inequalities (LMIs) and a sub-optimal fuzzy observer-based controller in the sense of cost bound minimization is obtained by utilising the aforementioned LMI optimisation techniques. Finally, the effectiveness of the proposed scheme is shown through an example.

Suggested Citation

  • Siavash Fakhimi Derakhshan & Alireza Fatehi, 2015. "Non-monotonic robust H fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2134-2149, September.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2134-2149
    DOI: 10.1080/00207721.2013.854941
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    Cited by:

    1. Yan Liu & Zhan-jiang Li & Xue-jun Zhen, 2018. "Empirical Study on Indicators Selection Model Based on Nonparametric -Nearest Neighbor Identification and R Clustering Analysis," Complexity, Hindawi, vol. 2018, pages 1-9, April.
    2. Jiwei Wen & Sing Kiong Nguang, 2019. "Robust Filtering of Nonhomogeneous Markovian Jump Delay Systems via - Step-Ahead Lyapunov-Krasovskii Functional Approach," Complexity, Hindawi, vol. 2019, pages 1-15, June.

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