Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

Abstract

This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality given by logarithmic norm and difference inequality. Illustrative examples are presented to demonstrate the obtained methods.

Keywords

• robustly controlled invariant set
• linear discrete-time systems
• logarithmic norm
• difference inequality