Quasi-optimal robust stabilization of control systems

Abstract : In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal time singular trajectories, the solutions of the closed-loop system converge to the origin in quasi minimal time (for a given bound on the controller) with a robustness property with respect to small measurement noise, external disturbances and actuator noise.
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Submitted on : Tuesday, July 18, 2006 - 6:23:12 PM
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Christophe Prieur, Emmanuel Trélat. Quasi-optimal robust stabilization of control systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2006, 45, pp.1875-1897. ⟨hal-00086384⟩



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