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Robust Nonfragile Control Strategies for Bilinear Uncertain Fuzzy Systems Based on Proportional PDC Approach

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Advances in Robust Control and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 474))

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Abstract

This chapter deals with robust nonfragile stabilization and tracking control problems of nonlinear systems described as bilinear Takagi-Sugeno fuzzy systems with parametric uncertainties and external disturbances. Besides, the objective is focused on the design of robust state-feedback controllers such that closed-loop systems are globally asymptotically stable with disturbance attenuation in spite of controllers gains variations. However, the quadratic Lyapunov function, proportional parallel distributed compensation approach, \({H_\infty }\) synthesis criterion, and linear matrix inequalities techniques are provided to design sufficient stability conditions with decay rate. Finally, a numerical example based on nonlinear mass-spring-damper mechanical system is considered to demonstrate the effectiveness and the performances of the proposed control schemes.

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Author information

Authors and Affiliations

  1. National Engineering School of Carthage, University of Carthage, Carthage, Tunisia

    Chekib Ghorbel

  2. Advanced Systems Laboratory, Polytechnic School of Tunisia, University of Carthage, Carthage, Tunisia

    Chekib Ghorbel & Naceur Benhadj Braiek

  3. Polytechnic School of Tunisia, University of Carthage, Carthage, Tunisia

    Naceur Benhadj Braiek

Authors
  1. Chekib Ghorbel
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  2. Naceur Benhadj Braiek
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Correspondence to Chekib Ghorbel .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Sfax, Sfax, Tunisia

    Nabil Derbel

  2. Department of Electrical Engineering, University of Sfax, Sfax, Tunisia

    Ahmed Said Nouri

  3. School of Engineering, University of the West of England, Bristol, UK

    Quanmin Zhu

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Ghorbel, C., Braiek, N.B. (2023). Robust Nonfragile Control Strategies for Bilinear Uncertain Fuzzy Systems Based on Proportional PDC Approach. In: Derbel, N., Nouri, A.S., Zhu, Q. (eds) Advances in Robust Control and Applications. Studies in Systems, Decision and Control, vol 474. Springer, Singapore. https://doi.org/10.1007/978-981-99-3463-8_16

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