Linear Regulator Design for Bounded Uncertain Discrete-Time Systems with Additive Disturbances

Abstract

The design of robust linear regulators, lor bounded uncertain linear discrete-time systems with additive disturbances, is treated using the concepts of robust positively invariant and robust control admissible sets. For constraint;, on stale, control and additive disturbance variables defined by convex closed polyhedra and uncertain parameter domains defined by convex compact polyhedra, new necessary and sufficient algebraic conditions for robust positive invariance and robtsr. control admissibility are presented. Based on these results, an LP approach is proposed to the design of robust regulators by static output feedback, for constrained uncertain linear systems with input and measurement additive disturbances.