Event-triggered $H_\infty$ static output feedback control of discrete time piecewise-affine systems

Abstract

This paper is concerned with the problem of H∞ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closedloop systems to be asymptotically stable with the prescribed H∞ performance. By utilizing a separation strategy, the static output feedback controller is solved by means of linear matrix inequalities. The validity of the proposed method are demonstrated by numerical examples.