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Design of a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems

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  • Toshio Yoshimura

Abstract

This paper presents a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems. It is assumed that the systems are described by a discrete-time equation with nonlinear uncertainties to be viewed as the modelling errors and the unknown external disturbances, and the states are observed with measurement noises. To design the simplified adaptive fuzzy backstepping control, the modelling errors are approximated by using the fuzzy inference approach based on the extended single-input rule modules, and the estimates for the unmeasurable states and the adjustable parameters are derived by using the weighted and its simplified weighted least squares estimators. It is proved that the states are ultimately bounded, and the estimation errors remain in the vicinity of zero. The effectiveness of the proposed approach is indicated through the simulation experiment of a simple numerical system.

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  • Toshio Yoshimura, 2015. "Design of a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 763-775, April.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:763-775
    DOI: 10.1080/00207721.2014.973468
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    References listed on IDEAS

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    1. Ali Koshkouei & Keith Burnham, 2011. "Adaptive backstepping sliding mode control for feedforward uncertain systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 1935-1946.
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