Robust constrained linear regulator problem

Abstract

The robust-constrained state and control regulator problem is considered. Necessary and sufficient conditions of positive invariance are established. A linear programming approach is presented in order to construct, for an uncertain-constrained linear system, a stabilizing linear state feedback control. The control law transfers asymptotically to the origin any initial state belonging to a given set, while constraints on the state and the control vectors are respected. Numerical examples are presented along the chapter to clarify the proposed approaches.