Stability analysis of discrete-time quadratic periodically time-varying systems with input saturation

Abstract

This paper proposes a novel approach to stability analysis for discrete-time quadratic periodically time-varying systems with input saturation. The concept of so-called periodic contractively invariant set is employed to analyze the open-loop stability or closed-loop stability. As a result, sufficient conditions for local stability and stabilization are derived in terms of linear matrix inequalities (LMIs) and LMIs-based optimization problems are then given to estimate the stability region of the corresponding systems. Finally, a simulation example is presented to illustrate the efficiency of the proposed technique.