Abstract
This paper considers the guaranteed cost control and anti-windup design problem for a class of discrete-time saturated switched systems. The switching strategy and anti-windup compensators are designed, for guaranteeing that the considered system is asymptotically stable and simultaneously the minimised upper-bound of cost function is obtained. By using the multiple Lyapunov functions method, we derive some sufficient conditions about the existence of anti-windup compensation gains of guaranteed cost. Furthermore, the minimised upper-bound of cost function is determined by solving an optimisation problem in terms of linear matrix inequalities constraints. Finally, a numerical example is given to show the effectiveness of the proposed method.
Acknowledgments
This work was supported by the Natural Science Foundation of Liaoning Province of China (No.20180551014). This work was supported by the Scientific Research Fund of Education Department of Liaoning Province of China (No. L2019016).This work was supported by the Natural Science Foundation of Liaoning Province of China (No. 2020-MS-283).
Disclosure statement
No potential conflict of interest was reported by the author(s).