论文标题
2x2半线性双曲系统的事件触发边界控制
Event-triggered boundary control of 2x2 semilinear hyperbolic systems
论文作者
论文摘要
我们提出了一个针对双曲线系统的事件触发的边界控制方案。触发条件基于对确定集的状态的预测，其中仅在预测偏离给定边缘的参考时才更新控件输入。通过分析建立了封闭环的稳定性和无卫生行为的不存在。对于线性系统的特殊情况，触发条件可以以封闭形式表示为具有分布式状态的内核的$ l_2 $ scalar产品。提出的控制器也可以与现有观察者结合使用，以解决事件触发的输出反馈控制问题。数值模拟证明了所提出的方法的有效性。
We present an event-triggered boundary control scheme for hyperbolic systems. The trigger condition is based on predictions of the state on determinate sets, where the control input is only updated if the predictions deviate from the reference by a given margin. Closed-loop stability and absence of Zeno behaviour is established analytically. For the special case of linear systems, the trigger condition can be expressed in closed-form as an $L_2$-scalar product of kernels with the distributed state. The presented controller can also be combined with existing observers to solve the event-triggered output-feedback control problem. A numerical simulation demonstrates the effectiveness of the proposed approach.
