Event-triggered H∞ control for discrete-time piecewise affine systems with norm-bounded uncertainties

This paper is concerned with the problem of designing event-triggered controllers for discrete-time piecewise-affine (PWA) systems with norm-bounded uncertainties. Event-triggered scheme transmits signals only when the event-triggering condition is violated. Due to its advantage in saving communication resources, it is utilised to design the state feedback controllers for piecewise-affine systems. With the utilisation of a piecewise Lyapunov function combined with the S-procedure and some matrix inequality convexifying techniques, sufficient conditions for novel event-triggered controllers are formulated in the form of linear matrix inequalities (LMIs). The resulting closed-loop system stability is ensured with a guaranteed disturbance attenuation level while the number of transmitted signals is reduced. A numerical example is given to show the effectiveness and merits of our method.