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Finite-time event-triggered control for switched affine systems with time-varying delay under state-dependent switching

Finite-time event-triggered control problem for switched affine systems with time-varying delay is investigated in this paper. A dynamical event-triggered scheme with multiple parameter matrices is proposed to avoid the waste of communication resources, which is more general than some existing event-triggered schemes with a common parameter matrix. By applying the proposed event-triggered scheme, a state-dependent switching signal and a state feedback controller are designed. By utilising an appropriate Lyapunov–Krasovskii functional and Metzler matrices, sufficient conditions for the existence of controller gains are firstly proposed such that the closed-loop system is finite-time bounded with finite-time disturbance attenuation performance. It is also proved that there is a lower bound between two adjacent triggers, i.e. Zeno phenomenon can be avoided. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.