Dynamic Output Feedback Control of Discrete-Time Switched Affine Systems
Xiaozeng Xu, Yang Li, Hongbin Zhang
Abstract
This brief focuses on stability analysis and dynamic output feedback controller design for switched affine systems in the discrete-time domain. The main purpose is to design a full order switched affine controller together with a switching function assuring global practically stability of the desired equilibrium points for switched affine systems. The set of all reachable equilibrium points is given. Since the system states information is difficult to obtain, the dynamic output feedback switching function is considered to stabilize the switched affine system. By using the Lyapunov stability theory and linear matrix inequality (LMI) technique, a set of dynamic output feedback gains together with a switching function are designed assuring the practical stability of the desired equilibrium points. At last, numerical examples are proposed to illustrate our approach.