Constrained Control of Uncertain, Time-varying Linear Discrete-Time Systems Subject to Bounded Disturbances
This paper presents two algorithms for the computation of polyhedral positively invariant sets for constrained discrete-time certain and uncertain linear systems, extended from . The approach is based on the novel use of auxiliary constant state feedback laws that give distinct, stable, real-valued closed loop eigenvalues. The algorithms are simple and non-iterative, and include only linear programming (LP). Illustrative examples show the benefits of the new approach.