Stability Condition under DVDFB Control Input Saturation for Collocated Second-order Linear System and Its Polytopic Description

Abstract

For a class of symmetric systems that consist of a collocated second-order plant and a static output feedback controller, the internal stability and the robustness of the closed-loop system are known to be guaranteed based only on the non-parametric condition in the absence of any input constraint. This study extends this work and investigates the stability of symmetric systems under input saturation. First, we show a stability condition for the system with saturated input. Then from practical reasons, we represent it with a polytopic stability condition. Finally, numerical simulation results are shown to verify the discussions.