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Intrinsic performance limits of linear feedback control

  • Part II Robust Control
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  • First Online:
Robustness in identification and control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 245))

Abstract

Nevanlinna-Pick interpolation techniques are employed in this paper to derive for multivariable systems exact expressions and bounds for the best attainable H ∞ norms of the sensitivity and complementary sensitivity functions. These results improve the previously known performance bounds and provide intrinsic limits on the performance of feedback systems irreducible via compensator design, leading to new insights toward the understanding of fundamental limitations in feedback control. It becomes clear that in a multivariable system the best achievable performance is constrained by plant nonminimum phase zeros and unstable poles, and additionally, is dependent on the mutual orientation of the zero and pole directions.

This research was supported in part by the NSF under Grant ECS-9623228.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of California, 92521, Riverside, CA

    Jie Chen

Authors
  1. Jie Chen
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Editor information

A. Garulli (Assistant Professor)A. Tesi (Assistant Professor)

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© 1999 Springer-Verlag London Limited

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Chen, J. (1999). Intrinsic performance limits of linear feedback control. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109871

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  • DOI: https://doi.org/10.1007/BFb0109871

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-179-5

  • Online ISBN: 978-1-84628-538-7

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