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Robust \(\mathcal{H}_{\infty }\) Switching Control of Polytopic Parameter-Varying Systems via Dynamic Output Feedback

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Automotive Air Conditioning

Abstract

The problem of designing a globally optimal robust output-feedback controller for time-varying polytopic uncertain systems is a well-known non-convex optimization problem. In this paper, new sufficient conditions for robust \(\mathcal{H}_{\infty }\) output-feedback control synthesis are proposed in terms of a special type of bilinear matrix inequalities (BMIs), which can be solved effectively using linear matrix inequality (LMI) optimization plus a line search. In order to reduce the conservatism of robust output-feedback control methods based on single quadratic Lyapunov function, we utilize multiple Lyapunov functions. The associated robust output-feedback controller is constructed as a switching-type full-order dynamic output-feedback controller, consisting of a family of linear subcontrollers and a min-switching logic. The proposed approach features the important property of computational efficiency with stringent performance. Its effectiveness and advantages have been demonstrated through numerical studies.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, USA

    Chengzhi Yuan & Fen Wu

  2. Department of Mechanical Engineering, Prairie View A&M University, Prairie View, TX, USA

    Chang Duan

Authors
  1. Chengzhi Yuan
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  2. Chang Duan
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  3. Fen Wu
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Correspondence to Chengzhi Yuan .

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Yuan, C., Duan, C., Wu, F. (2016). Robust \(\mathcal{H}_{\infty }\) Switching Control of Polytopic Parameter-Varying Systems via Dynamic Output Feedback. In: Automotive Air Conditioning. Springer, Cham. https://doi.org/10.1007/978-3-319-33590-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-33590-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33589-6

  • Online ISBN: 978-3-319-33590-2

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