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T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

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Abstract

This article presents a singular system approach to the reliable \(\mathscr {H}_{\infty }\) static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi–Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.

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Acknowledgements

The authors appreciate the Editor-in-Chief, the Associate Editor, and anonymous reviewers for their constructive comments based on which the presentation of this paper has been greatly improved.

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, 150080, People’s Republic of China

    Yanling Wei & Xiuyan Peng

  2. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Jianbin Qiu

  3. Department of Informatics, King’s College London, Strand, London, WC2R 2LS, UK

    Hak-Keung Lam

Authors
  1. Yanling Wei
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  2. Jianbin Qiu
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  3. Xiuyan Peng
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  4. Hak-Keung Lam
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Corresponding author

Correspondence to Xiuyan Peng.

Additional information

This work was supported in part by the National Natural Science Foundation of China (61503091, 61522306), the China Postdoctoral Science Foundation (2016T90270, 2015M570282), the Postdoctoral Science Foundation of Heilongjiang Province (LBH-Z14056), and State Key Laboratory of Robotics and Systems of Harbin Institute of Technology (SKLRS-2017-KF-02).

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Wei, Y., Qiu, J., Peng, X. et al. T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults. Circuits Syst Signal Process 37, 81–97 (2018). https://doi.org/10.1007/s00034-017-0547-0

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