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A Delay-Dependent Approach to Finite-Time H∞ Control of Nonlinear Descriptor Systems with State Delay via Observer-Based Control

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Abstract

This paper proposes a finite-time observer-based controller for time-delay descriptor systems with time-varying disturbances, model uncertainties, and one-sided Lipschitz nonlinearities. For this purpose, first, a nonlinear descriptor observer is designed, and the observer error system is calculated. Then, the observer-based control law is proposed to provide the conditions for robust stabilization of the closed-loop descriptor system by selecting an appropriate Lyapunov–Krasovskii functional. According to the delay-dependent stability criterion, LMI-based sufficient conditions are derived and the gains of the controller and the observer are calculated. The proposed controller guarantees the finite-time boundedness and H∞ disturbance attenuation of the closed-loop descriptor system. Finally, the effectiveness of the proposed technique is investigated through computer simulations.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Shiraz University of Technology, Modares Boulevard, P.O. Box 71555-313, Shiraz, Iran

    Tahereh Binazadeh & Maryam Sadat Asadinia

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  1. Tahereh Binazadeh
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  2. Maryam Sadat Asadinia
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Correspondence to Tahereh Binazadeh or Maryam Sadat Asadinia.

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Binazadeh, T., Asadinia, M.S. A Delay-Dependent Approach to Finite-Time H∞ Control of Nonlinear Descriptor Systems with State Delay via Observer-Based Control. Circuits Syst Signal Process 39, 5454–5474 (2020). https://doi.org/10.1007/s00034-020-01439-1

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  • DOI: https://doi.org/10.1007/s00034-020-01439-1

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