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Robust control system design for sampled-data feedback systems

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Robust Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 183))

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Abstract

In this paper, we consider an optimization problem for sampled data control systems in the sense of the L 2 induced norm of the linear operator with continuous-time inputs and outputs. The problem is a worst case design and a counterpart of the H ∞-optimization problem for purely continuous-time or discrete-time systems. Hence, it can be applied to the robust controller design taking account of the intersample behavior for sampled-data feedback systems. We show that the optimization problem for a 4-block generalized continuous-time plant with a digital controller can be solved with a γ-iteration on a certain discrete-time 4-block plant which depends on γ. The computation algorithm with three exponentiations is also derived.

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Author information

Authors and Affiliations

  1. Dept. of Control Engineering, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, 152, Tokyo, Japan

    Shinji Hara

  2. Aerospace Engineering Dept., The University of Michigan, 48109-2140, Ann Arbor, MI, USA

    Pierre T. Kabamba

Authors
  1. Shinji Hara
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  2. Pierre T. Kabamba
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Editor information

L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Shigeyuki Hosoe

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© 1992 Springer-Verlag

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Hara, S., Kabamba, P.T. (1992). Robust control system design for sampled-data feedback systems. In: Davisson, L.D., et al. Robust Control. Lecture Notes in Control and Information Sciences, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0114649

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  • DOI: https://doi.org/10.1007/BFb0114649

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55961-0

  • Online ISBN: 978-3-540-47320-6

  • eBook Packages: Springer Book Archive

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