Internal model tracking control of an uncertain impulsive switched system

This paper focuses on an internal model tracking control problem of an uncertain impulsive switched system. The contribution of this study is to develop an internal model tracking control law integrated with the guaranteed cost control algorithm for uncertain impulsive switched systems. Firstly, an uncertain impulsive switched system with guaranteed cost control is stated and some important theorems on stabilization and controller design are given. Meanwhile, Linear Matrix Inequality is introduced to formulate the optimal guaranteed cost control law of the uncertain impulsive switched system. Secondly, an internal model tracking control structure is presented combining with guaranteed cost control and LMI optimization. By establishing the extended state space equation, tracking control problem of uncertain impulsive switched systems can be transformed into a state stabilization problem. Finally, simulations are carried on to demonstrate the proposed algorithm.