Optimal Event-Triggered Control Method for Linear Uncertain Systems

Shuo Chen, Y. Fan, Haohao Chen, Mingjian Zhu
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Abstract

We put forward an optimal event-triggered optimal control method with the uncertainty of parameters. Event-triggered control is more significant in network control system because it can reduce communication costs. Firstly, the control law is designed by solving the optimal control problem, and implemented by event triggering mechanism. Then, the existence of minimum lower bound inter-event triggering intervals proves that Zeno behaivor does not occur. In addition, by using the input-state stability criterion (ISS), we can arrive at the stability of state. Finally, the algorithm is verified by numerical simulation.
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线性不确定系统的最优事件触发控制方法
提出了一种具有参数不确定性的最优事件触发最优控制方法。事件触发控制在网络控制系统中具有重要意义,因为它可以降低通信成本。首先,通过求解最优控制问题设计控制律,并利用事件触发机制实现控制律。然后,通过存在最小下界事件间触发间隔证明了不存在Zeno行为。此外,利用输入状态稳定性判据(ISS),我们可以得到状态的稳定性。最后,通过数值仿真对算法进行了验证。
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