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A delay partitioning approach to output feedback control for uncertain discrete time-delay systems with actuator saturation

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Abstract

This paper is concerned with the problems of output feedback control for uncertain discrete time-delay systems with input saturation. The delay partitioning approach is proposed to obtain new stability criteria. The dynamic output feedback controller is designed based on a linear matrix inequality framework. A sufficient condition is developed, which guarantees the existence of dynamic output feedback controllers such that all trajectories of the closed-loop system starting from an admissible initial condition domain converge to a smaller ellipsoid. Simulation examples are provided to show the potential of the proposed techniques.

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Acknowledgements

This work was supported by the National Natural Science Foundation of P.R. China under Grants 61203024 and 61203048, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20113219110026.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Gongfei Song

  2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

    Zhen Wang

  3. State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing, 210093, China

    Zhen Wang

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  1. Gongfei Song
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  2. Zhen Wang
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Correspondence to Gongfei Song.

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Song, G., Wang, Z. A delay partitioning approach to output feedback control for uncertain discrete time-delay systems with actuator saturation. Nonlinear Dyn 74, 189–202 (2013). https://doi.org/10.1007/s11071-013-0957-x

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  • DOI: https://doi.org/10.1007/s11071-013-0957-x

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