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Event-triggered policy for dynamic output stabilization of discrete-time LPV systems under input constraints
Systems & Control Letters ( IF 2.6 ) Pub Date : 2021-05-05 , DOI: 10.1016/j.sysconle.2021.104950
Carla de Souza , Valter J.S. Leite , Sophie Tarbouriech , Eugênio B. Castelan

This paper concerns the event-triggered dynamic output-feedback control of discrete-time linear parameter-varying (LPV) systems subject to saturating actuators. Two independent event-triggering schemes are introduced to determine whether the current signals should be transmitted (a) from the sensor to the controller and (b) from the controller to the actuator. As a result, the communication resources can be significantly saved. Both the emulation-based problem and the co-design problem are addressed. Sufficient conditions based on linear matrix inequalities (LMIs) are derived to ensure the regional asymptotic stability of the origin for the closed-loop system. A convex optimization procedure is proposed to determine the controller matrices and the event-triggering parameters aiming at reducing the number of updates on the independent channels sensor-to-controller and controller-to-actuator. At last, numerical examples are employed to testify to the validity of the proposed methods.



中文翻译:

输入约束下离散LPV系统动态输出稳定的事件触发策略

本文涉及具有饱和执行器的离散时间线性参数变化(LPV)系统的事件触发动态输出反馈控制。引入了两个独立的事件触发方案来确定是否应将电流信号(a)从传感器传输到控制器,以及(b)从控制器到执行器。结果,可以显着节省通信资源。基于仿真的问题和协同设计问题都得到了解决。得出了基于线性矩阵不等式(LMI)的充分条件,以确保闭环系统原点的区域渐近稳定性。提出了一种凸优化程序来确定控制器矩阵和事件触发参数,目的是减少传感器到控制器和控制器到执行器的独立通道上的更新次数。最后,通过数值算例验证了所提方法的有效性。

更新日期:2021-05-06
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