Improved conditions for event‐triggered control of switched linear systems
Yue‐E Wang, Di Wu, Ben Niu
Abstract
The sampled‐data event‐triggered control problem of switched linear systems in which both the sampled information of the system states and the switching signal are available to the controller at the event‐triggered transmission instants is studied here. The coexistence of the event‐triggered transmission and the switching behaviour makes the switching signal of the controller and the switching signal of the system asynchronous. By constructing a new multiple Lyapunov–Krasovskii functional and using the asynchronous switching method, the exponential stability conditions characterised by mode‐dependent average dwell time of the switching signal are proposed. Then, the corresponding solvability conditions for the event‐triggered state feedback controller are formulated. Finally, a numerical example is given to illustrate the validity of the proposed results.