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Unsafe Point Avoidance in Linear State Feedback

Abstract : We propose a hybrid solution for the stabilization of the origin of a linear time-invariant stabilizable system with the property that a suitable neighborhood of a pre-defined unsafe point in the state space is avoided by the closed-loop solutions. Hybrid tools are motivated by the fact that the task at hand cannot be solved with continuous feedback, whereas the proposed hybrid solution induces nominal and robust asymptotic stability of the origin. More specifically, we formulate a semiglobal version of the problem at hand and describe a fully constructive approach under the assumption that the unsafe point to be avoided does not belong to the equilibrium subspace induced by the control input on the linear dynamics. The approach is illustrated on a numerical example
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Submitted on : Sunday, January 27, 2019 - 11:12:40 AM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM
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  • HAL Id : hal-01995607, version 1


Philipp Braun, Christopher M Kellett, Luca Zaccarian. Unsafe Point Avoidance in Linear State Feedback. 57th IEEE Conference on Decision and Control (CDC), Dec 2018, Miami Beach (FL), United States. pp.2372-2377. ⟨hal-01995607⟩



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