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An LMI-based robust tracker for uncertain linear systems with multiple time-varying delays using optimal composite nonlinear feedback technique

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Abstract

This paper considers the composite nonlinear feedback method for robust tracking control of uncertain linear systems with time-varying delays and disturbances. The asymptotic tracking conditions are dependent to the time-derivative bounds of the time-varying delays and are provided in the form of linear matrix inequalities. A new nonlinear function is introduced in the control law to improve the tracking performance of the system and is optimally tuned using modified random search algorithm. Simulation results are presented to illustrate the effectiveness of the proposed technique.

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, P.O. Box 38791-45371, Zanjan, Iran

    Saleh Mobayen

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  1. Saleh Mobayen
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Correspondence to Saleh Mobayen.

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Mobayen, S. An LMI-based robust tracker for uncertain linear systems with multiple time-varying delays using optimal composite nonlinear feedback technique. Nonlinear Dyn 80, 917–927 (2015). https://doi.org/10.1007/s11071-015-1916-5

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  • DOI: https://doi.org/10.1007/s11071-015-1916-5

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