分段仿射系统的周期事件触发控制  

Periodic Event-triggered Control for Piecewise Affine Systems

作　　者：汪菲菲 WANG Fei-fei(Jiangsu Key Construction Laboratory of IoT Application Technology,Wuxi Taihu University,Wuxi 214122,China)

机构地区：[1]无锡太湖学院江苏省物联网应用技术重点建设实验室,江苏无锡214122

出　　处：《控制工程》2022年第4期750-756,共7页Control Engineering of China

摘　　要：针对分段仿射系统的控制问题,为了节省通信资源,提出了一种周期事件触发控制方案。首先,采用延时系统方法,对基于周期事件触发控制策略的分段仿射系统进行建模;然后,利用分段Lyapunov泛函,结合椭球体形式描述状态空间分区的方法,建立基于线性矩阵不等式的分段仿射闭环系统稳定性判据;最后,给出状态反馈控制器的设计方法,在保证闭环系统稳定性的同时,显著减少传输的数据量。此外,将提出的方法应用于单节点机械臂系统和隧道二极管电路系统,把非线性系统建模为分段仿射系统来设计切换控制器,通过仿真验证所提方法的有效性和优越性。Aiming at the control problem of piecewise affine systems,a periodic event-triggered control scheme is proposed in this paper to save communication resources.Firstly,the piecewise affine system based on the periodic event-triggered control strategy is modeled via the approach of time-delay system.Secondly,based on a piecewise Lyapunov functional,together with the ellipsoid description of the state space partition,a linear matrix inequality based sufficient condition for the closed-loop stability of the piecewise affine system is derived.Finally,the design method of state feedback controller is given,which can significantly reduce the amount of transmitted signals while ensuring the stability of the closed-loop system.Moreover,the proposed scheme is applied to a single-linked robot arm system and a tunnel diode system.The nonlinear systems are modeled as piecewise affine systems to design switching controllers.The effectiveness and merits of the proposed scheme are illustrated by the simulation.

关 键 词：分段仿射系统 周期事件触发控制 分段Lyapunov泛函 线性矩阵不等式 状态反馈 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]