Output Feedback Control with Input Saturations: LMI Design Approaches

摘要

This paper addresses the control of linear systems with input saturations. We seek a controller that guarantees for the closed-loop system: (I) stability for a given polytope of initial conditions, (ii) a prescribed weak L_2 gain attenuation between inputs and outputs of interest. Two approaches are proposed based on: (I) ensuring That the controller never saturates: the obtained con- Troller is linear time invariant (LTI), (ii) ensuring abso- Lute stability against the saturations: the controller is Then linear time varying (LTV).