Guaranteed cost finite-time control of discrete-time positive impulsive switched systems
Summary: This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Multiple Linear Copositive Lyapunov Function (MLCLF) and Average Dwell Time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is Guaranteed Cost Finite-Time Boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.
discrete-time positive impulsive switched systems
multiple linear copositive Lyapunov function (MLCLF)
scientific article; zbMATH DE number 7024553
scientific article