On the Linear Constrained Regulation problem for Continuous-Time Systems

Abstract In this paper the regulation problem for linear continuous-time systems by linear state-feedback under linear state and/or control constraints is investigated. This problem, named the Linear Constrained Regulation Problem, has been extensively studied when the regulation concerns an equilibrium situated in the interior of the domain of admissible states. In this paper the case when the desired equilibrium state is on the boundary of the domain of admissible states is considered. The tools used for the analysis and design of this kind of control problems are the conditions of positive invariance of polyhedral sets, Lyapunov-like polyhedral functions, LMI methods and eigenstructure assignment techniques.

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