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RobustH ∞ controller design for a class of uncertain systems

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Abstract

TheH ∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considcred. A new sufficient condition based on LMI is provided to judge their robust stability andL 2-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.

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Authors and Affiliations

  1. Research Institute of Automation, Southeast University, 210096, Nanjing, China

    Lei Guo & Chunbo Feng

Authors
  1. Lei Guo
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  2. Chunbo Feng
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 59704004).

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Guo, L., Feng, C. RobustH ∞ controller design for a class of uncertain systems. Sci. China Ser. E-Technol. Sci. 41, 208–214 (1998). https://doi.org/10.1007/BF02919685

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  • DOI: https://doi.org/10.1007/BF02919685

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