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Hybrid State Feedback, Robust H  ∞  Control for a Class Switched Systems with Nonlinear Uncertainty

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Recent Advances in Computer Science and Information Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 129))

Abstract

The problem of robust H  ∞  control for a class of uncertain nonlinear switched systems is addressed through hybrid state feedback control strategy, based on multiple Lyapunov function techniquefor all admissible uncertainties. The state feedback control for each each subsystem and switching Laws to guarantee both asymptotically stability of the resulting closed-loop systems and prescribed L 2 gain from disturbance input to controller output are designed. The necessary and sufficient conditions of robust H  ∞  control for the problem to be solvable is also derived in terms of partial differential inequalities are given. An illustrate example is given to show the effectiveness of the method.

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Authors and Affiliations

  1. Department of Automatic Engineering, Zhonshan College, Uest of China, Zhongshan, Guangdong, 528403, P.R. China

    Liangui Wang

  2. Department of Mathematical Sciences, Binghamton University-Suny, Binghamton, NY, 13902, U.S.A.

    Xiangjin Xu

Authors
  1. Liangui Wang
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  2. Xiangjin Xu
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Corresponding author

Correspondence to Liangui Wang .

Editor information

Editors and Affiliations

  1. , College of Communication Engineering, Jilin University, Room 313, Building No.1, Changchun, Nanhu Avenue 5372, Jilin, 130012, China, People's Republic

    Zhihong Qian

  2. , Department of Electrical Engineering, The University of Mississippi, Anderson Hall 314, Mississippi, 38677, Mississippi, USA

    Lei Cao

  3. , Department of Electrical and Computer En, Naval Postgraduate School, Rm. 452 Spanagel Bldg. 232, Dyer Road 833, Monterey, 93943-5121, California, USA

    Weilian Su

  4. , Faculty of Computing, London Metropolitan University, Holloway Road 166-220, London, N7 8DB, United Kingdom

    Tingkai Wang

  5. , College of Software, Changchun University of Science and Tech, Changchun, Jilin, 130022, China, People's Republic

    Huamin Yang

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Wang, L., Xu, X. (2012). Hybrid State Feedback, Robust H  ∞  Control for a Class Switched Systems with Nonlinear Uncertainty. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25778-0_29

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  • DOI: https://doi.org/10.1007/978-3-642-25778-0_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25777-3

  • Online ISBN: 978-3-642-25778-0

  • eBook Packages: EngineeringEngineering (R0)

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