Control for Discrete 2-d Switched Systems with Actuator Saturation

Dept. of Electrical Engineering, University of Engineering and Technology, Lahore, Pakistan Correspondence author: [email protected] ABSTRACT: This paper deals with the state feedback  H stabilization problem of discrete-time 2-D (two-dimensional) switched systems subject to actuator saturation. Firstly, a sufficient condition for asymptotical stability and  H disturbance attenuation performance of the system under consideration is developed by using the multiple Lyapunov functional method while the saturation behavior is described by the convex hull. Secondly, a state feedback controller is designed which guarantees that the resulting closed-loop system is asymptotically stable and possess a prescribed  H disturbance attenuation level  . Finally, an example is provided to show the validity and effectiveness of the proposed methodology.