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When is a controllerH ∞-optimal?

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Abstract

This paper examines conditions under which a given single input, single output, linear time invariant control system isH ∞-optimal with respect to weighted combinations of its sensitivity function and its complementary sensitivity function. The specific weighting functions considered are defined in terms of the given plant and nominal controller. This paper shows that a large class of practical controllers areH ∞-optimal, including typical stable controllers.

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Author information

Authors and Affiliations

  1. Center for Control Science and Dynamical Systems, University of Minnesota, Minneapolis, Minnesota, USA

    Kathryn E. Lenz

  2. Honywell Systems and Research Center, Minneapolis, Minnesota, USA

    Kathryn E. Lenz & John C. Doyle

  3. Department of Electrical Engineering, University of Minnesota, Minneapolis, Minnesota, USA

    Pramod P. Khargonekar

  4. Center for Control Science and Dynamical Systems, University of Minnesota, Minneapolis, Minnesota, USA

    Pramod P. Khargonekar

  5. Department of Electrical Engineering, California Institute of Technology, Pasadena, California, USA

    John C. Doyle

Authors
  1. Kathryn E. Lenz
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  2. Pramod P. Khargonekar
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  3. John C. Doyle
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Additional information

This research was supported in part by the National Science Foundation under Grant No. ECS-8451519, grants from Honeywell, 3M, Sperry, and E. F. Johnson Company, ONR Research Grant N00014-82-C-0157, and AFOSR Research Grant F49620-86-C-0001.

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Lenz, K.E., Khargonekar, P.P. & Doyle, J.C. When is a controllerH ∞-optimal?. Math. Control Signal Systems 1, 107–122 (1988). https://doi.org/10.1007/BF02551404

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  • DOI: https://doi.org/10.1007/BF02551404

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