Improved Perturbation Bounds for the Continuous-Time H-infinity-Optimization Problem
Authors: | Christov Nicolai, Technical University of Sofia, Bulgaria Konstantinov Mihail, University of Architecture and Civil Engineering, Bulgaria Petkov Petko, Technical University of Sofia, Bulgaria |
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Topic: | 2.5 Robust Control |
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Session: | Robustness Analysis II |
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Keywords: | H-infinity optimization, Robust control, Perturbation analysis, Riccati equations, Linear systems |
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Abstract
New local perturbation bounds are obtained for the continuous-time H-infinity optimization problem, which are nonlinear functions of the data perturbations and are tighter than the existing condition number based local bounds. The nonlinear local bounds are then incorporated into nonlocal perturbationbounds which are less conservative than the existing nonlocal perturbation estimates for the H-infinity optimization problem.