LMI-based event-triggered control of 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 utilized to design the state feedback controllers for piecewise affine systems. A quadratic cost function is introduced to quantifying the control performance. An optimization problem for minimizing the upper bound of the quadratic cost function is formulated in the form of linear matrix inequalities (LMIs). By solving the optimization problems a unique state feedback controller can be obtained. The resulting closed-loop system stability is guaranteed while the number of transmitted signals is reduced. A numerical example is given to show the effectiveness of our methods.