Extended dissipativity-based control for persistent dwell-time switched singularly perturbed systems and its application to electronic circuits

Highlights：

• By adopting an ε-dependent non-monotonic Lyapunov function approach and a new slack matrix technique, a set of sufficient conditions with less conservatism are obtained in the form of linear matrix inequalities.

• Based on the derived criteria, a mode-dependent slow state variables feedback controller is obtained, which can guarantee that the closed-loop system is exponentially stable and extended dissipative performance.

• In the simulation, we have illustrated that the increasing of sampling instant decay rate or decreasing of switching instant variation rate can improve the system performance.

摘要

•The addressed problem is new in the sense that both persistent dwell-time switching mechanism and extended dissipative performance are considered in the discrete-time singularly perturbed systems at the first attempt.•By adopting an ε-dependent non-monotonic Lyapunov function approach and a new slack matrix technique, a set of sufficient conditions with less conservatism are obtained in the form of linear matrix inequalities.•Based on the derived criteria, a mode-dependent slow state variables feedback controller is obtained, which can guarantee that the closed-loop system is exponentially stable and extended dissipative performance.•In the simulation, we have illustrated that the increasing of sampling instant decay rate or decreasing of switching instant variation rate can improve the system performance.

论文关键词：Singularly perturbed systems,Persistent dwell-time switching,Extended dissipative performance,Slow state variables feedback control,Singular perturbed parameters