Optimization of Stability Robustness Bounds for Linear Discrete-Time Systems

J. A. De Abreu-García, X. Niu and L. A. Cabrera
Additional contact information
J. A. De Abreu-García: University of Akron
X. Niu: Quantum
L. A. Cabrera: University of Akron

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 2, No 2, 303-330

Abstract: 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.

Keywords: Stability robustness bounds; optimization; reduced conservatism bounds; discrete-time systems; robust control (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1021718109567

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