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Weighted Approximation Techniques and Their Applications in Controller Reduction

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Robust Control Theory

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 66))

Abstract

This paper summarizes some model/controller reduction results obtained recently by the author. The results presented in this paper include (a) a new relative error model reduction algorithm together with some explicit error bounds; (b) a complete solution to the frequency weighted Hankel norm approximation with anti-stable weighting; and (c) the controller order reduction with stability and performance constraints.

Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA 70803. This research was supported in part by the National Science Foundation under Grant No. ECS-9210388.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA, 70803, USA

    Kemin Zhou

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  1. Kemin Zhou
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Toronto, M5S 1A4, Toronto, Ontario, Canada

    Bruce A. Francis

  2. Department of Electrical Engineering and Computer Science, University of Michigan, 48109, Ann Arbor, MI, USA

    Pramod P. Khargonekar

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© 1995 Springer-Verlag New York, Inc.

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Zhou, K. (1995). Weighted Approximation Techniques and Their Applications in Controller Reduction. In: Francis, B.A., Khargonekar, P.P. (eds) Robust Control Theory. The IMA Volumes in Mathematics and its Applications, vol 66. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8451-9_9

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  • DOI: https://doi.org/10.1007/978-1-4613-8451-9_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8453-3

  • Online ISBN: 978-1-4613-8451-9

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