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A class of invariant regulators for the discrete-time linear constrained regulation problem. (English) Zbl 0754.93066

Summary: Stable dynamic systems admit positively invariant domains associated to their Lyapunov functions. Conversely, some domains can be made positively invariant for systems with state feedback controllers designed in such a way that some associated non-negative definite functions are bound to decrease. In particular, this approach can be used to establish conditions on the gain matrix for Linear Constrained Regulation Problems (LCRP). We construct fixed and variable regulators easy to compute through linear programming, for a class of constrained linear systems.

MSC:

93D15 Stabilization of systems by feedback
93D30 Lyapunov and storage functions
93C05 Linear systems in control theory
93B52 Feedback control
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