On the Linear Constrained Regulation problem for Continuous-Time Systems

Abstract : In this paper the regulation problem for linear continuous-time systems by linearstate-feedback under linear state and/or control constraints is investigated. This problem, namedthe Linear Constrained Regulation Problem, has been extensively studied when the regulationconcerns an equilibrium situated in the interior of the domain of admissible states. In this paperthe case when the desired equilibrium state is on the boundary of the domain of admissiblestates is considered. The tools used for the analysis and design of this kind of control problemsare the conditions of positive invariance of polyhedral sets, Lyapunov-like polyhedral functions,LMI methods and eigenstructure assignment techniques.
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Submitted on : Wednesday, December 17, 2014 - 10:00:05 AM
Last modification on : Sunday, June 24, 2018 - 9:14:02 PM

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Georges S. Bitsoris, Sorin Olaru, Marina Vassilaki. On the Linear Constrained Regulation problem for Continuous-Time Systems. 19th IFAC World Congress on International Federation of Automatic Control (IFAC 2014), Aug 2014, Cape Town, South Africa. ⟨hal-01096251⟩

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