基于观测器的分段仿射系统的事件触发控制

Observer-based Event-triggered Control for Piecewise Affine Systems

针对带有参数不确定的离散时间分段仿射系统,研究了基于事件触发机制的鲁棒控制器设计问题。考虑了系统存在参数不确定和状态不完全可测的实际情况,同时为了节省通信资源,提出一种新的事件触发方案并设计基于观测器的事件触发控制器。基于分段Lyapunov函数和椭球体形式的作用域描述,将观测器、控制器和事件触发策略的协同设计问题转化为以线性矩阵不等式描述的稳定性条件,既能够保证闭环系统的稳定性,又可以减少信号的传输量。最后通过数值实例验证所提方法的有效性。

This paper is concerned with the problem of designing robust event-triggered controllers for discrete-time piecewise affine(PWA)systems with parameter uncertainties.To address the control problem when the system is subject to parameter uncertainties and the states of the system are not completely measurable,and meanwhile to save communication resources,a novel event-triggering method is proposed and an observer-based event-triggered controller is designed.Based on a piecewise Lyapunov function and an ellipsoidal description of the output space regions,the problem of co-designing controller,observer and event-triggering strategy is formulated into a linear matrix inequality(LMI)-based condition,which ensures that the closed-loop system is stable while the number of signal transmission is reduced.Finally,numerical examples are given to show the effectiveness of our method.