Analysis and Optimization of Stability Robustness Bounds for Discretized Systems

J. A. De Abreu-García, X. Niu and L. A. Cabrera
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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 3, 358 pages

Abstract: Abstract In this paper, robustness bounds for the perturbations of continuous-time systems to ensure the stability of their discretized counterparts are developed. Both zero-order hold and P-step matrix integrators are considered. The effect of the sampling time on the robustness bounds is studied via examples. To determine how well a simulated system will retain the robustness properties of the continuous-time system being simulated, a new criterion for the selection of the simulation method and time step is introduced. Both implicit and explicit robustness measures for sampled-data systems are obtained.

Keywords: Stability robustness bounds; optimization; reduced conservatism; discretized systems; simulation methods (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1021770126405

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