线性系统的事件触发输出反馈有限时间有界控制

本文研究了线性系统的事件触发输出反馈有限时间有界控制问题. 与渐近稳定只定性地要求系统在采样间隔有界不同, 有限时间有界需要估计系统轨迹的上界以保证满足动态系统的定量要求. 本文基于类李雅普诺夫函数给出了保证闭环系统的有限时间有界性和避免芝诺现象的充分条件. 这些充分条件可以转化为线性矩阵不等式, 便于验证和实际应用. 此外, 为了节约资源, 提出了一种可变参数的事件触发规则, 提高了设计灵活性. 仿真结果验证了本文的主要结论.

Event-triggered output feedback finite-time bounded control of linear systems

In this paper, event-triggered output feedback finite-time bounded control of linear systems is investigated.Unlike asymptotic stability which only requires qualitatively that the system is bounded during inter-sample, for finite-timeboundedness, it is necessary to estimate the upper bound of the trajectory to ensure that the system meets the quantitativerequirements. Based on Lyapunov-like function, sufficient conditions are given to ensure finite-time boundedness of theresultant closed-loop system and to avoid Zeno behavior in an emulation context. The conditions can be transformed intolinear matrix inequalities such that they are easy to be verified and used in practice. Moreover, an event-triggered rule withvariable parameters, which can improve the flexibility of design, is also proposed, aiming at conserving sources. Simulationresults are employed to verify main results proposed in this paper.