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Optimization of Stability Robustness Bounds for Linear Discrete-Time Systems

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Abstract

In this paper, existing stability robustness measures for the perturbation of both continuous-time and discrete-time systems are reviewed. Optimized robustness bounds for discrete-time systems are derived. These optimized bounds are obtained reducing the conservatism of existing bounds by (a) using the structural information on the perturbation and (b) changing the system coordinates via a properly chosen similarity transformation matrix. Numerical examples are used to illustrate the proposed reduced conservatism bounds.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of Akron, Akron, Ohio

    J. A. De Abreu-García (Associate Professor)

  2. Quantum, Milpitas, California

    X. Niu (Servo Firmware Engineer)

  3. Department of Electrical Engineering, University of Akron, Akron, Ohio

    L. A. Cabrera (Doctoral Candidate)

Authors
  1. J. A. De Abreu-García
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  2. X. Niu
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  3. L. A. Cabrera
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De Abreu-García, J.A., Niu, X. & Cabrera, L.A. Optimization of Stability Robustness Bounds for Linear Discrete-Time Systems. Journal of Optimization Theory and Applications 99, 303–330 (1998). https://doi.org/10.1023/A:1021718109567

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