Finite‐time control of periodic systems with event‐triggering mechanisms
Liu Yang, Yabin Gao, Yuxin Zhao, Ligang Wu · IET Control Theory and Applications · 2019
This study is concerned with the event‐triggered finite‐time control of periodic systems via a piecewise method. The continuous‐time periodic system is formulated by finite‐number linear time‐invariant subsystems, of which the system parameters are determined by the piecewise approximation method. In consideration of the mitigation of network communication in networked control loops, some event‐triggering mechanisms are designed in terms of the networks between the sensor (or controller) and the controller (or actuator). Three different event‐triggered control schemes are designed for the networked periodic system. The finite‐time stability of the resulting closed‐loop system is analysed by using a Lyapunov function approach with a well‐defined matrix‐valued function. The controller gains depending on the piecewise parameters are thus designed with several matrix inequalities that can be solved by off‐line procedures. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design scheme.