Event‐triggered and guaranteed cost finite‐time H∞ control for uncertain switched linear systems

Summary This paper is concerned with the event‐triggered and guaranteed cost finite‐time H∞ control problem for uncertain switched linear systems with exogenous disturbance. Instead of one common strategy, multiple event‐triggering strategies are first proposed, ie, each subsystem possesses its own corresponding event‐triggering substrategy. Then, by utilizing the multiple Lyapunov functions and average dwell‐time method, sufficient conditions for the finite‐time boundedness with an H∞ performance level of the resulting event‐triggered switched closed‐loop system are derived. Meanwhile, a certain upper bound of the guaranteed cost function with respect to the system uncertainties is obtained. Subsequently, a set of sufficient conditions in terms of linear matrix inequalities is given for solving the event‐triggered and guaranteed cost finite‐time H∞ state feedback controllers. Furthermore, the Zeno sampling behavior is excluded by presenting a positive lower bound estimation on the interexecution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.