Observer-based H∞ Event-triggered Control for Piecewise Affine Systems
首发时间:2020-01-20
Abstract:This paper investigates output-based H∞ event-triggered control for piecewise affine systems. Firstly, to cope with the situation that the system states are not completely measurable, an observer is designed. Then based on the observer and the system output, an event-triggering mechanism as well as the feedback controller are proposed. The output space partition of the piecewise affine system is approximated by degenerate ellipsoids. Based on the piecewise Lyapunov function, the co-design problem of the observer, the controller and the event-triggering rule is transformed into an LMI-based sufficient condition. The observer and the controller can be obtained by solving a set of LMIs. The stability of the closed-loop system is guaranteed and meanwhile the number of the transmission can be significantly reduced. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
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基于观测器的分段仿射系统的H∞事件触发控制
摘要:本文针对分段仿射系统,提出一种基于输出的H∞事件触发控制策略。首先,考虑系统状态不完全可测的情况,设计观测器。然后根据观测器和系统输出,设计合适的事件触发机制以及反馈控制器。分段仿射系统的输出空间划分采用退化椭球体形式的描述,结合分段Lyapunov 函数,将观测器、控制器和事件触发策略的协同设计问题转化线性矩阵不等式形式的稳定性充分条件,通过求解LMI 可得出观测器和控制器。既保证了系统渐近稳定,还能够显著地减少通信数据的传输量。最后,通过仿真实例说明本文方法的有效性。
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