Kybernetika 57 no. 3, 513-533, 2021

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

Zhuyun Xue and Mouquan ShenDOI: 10.14736/kyb-2021-3-0513

Abstract:

This paper is concerned with the problem of $H_\infty$ 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 closed-loop systems to be asymptotically stable with the prescribed $H_\infty$ 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.

Keywords:

linear matrix inequality, event-triggered control, output feedback control

Classification:

93D09, 65Z99

paper.pdf

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