论文标题
使用数据信息来在线稳定未知开关线性系统
Using data informativity for online stabilization of unknown switched linear systems
论文作者
论文摘要
这项工作研究了针对离散时间切换线性系统的数据驱动的切换控制器设计。与其访问完整的系统动力学,不如执行初始化阶段,在此期间,为每个模式收集了状态和输入的无噪声测量。在这些测量值的某些条件下,我们为开关系统开发了一个稳定的开关控制器。确切地说,控制器在识别系统的活动模式和应用预定的稳定反馈之间进行切换。我们证明,如果系统根据某些规格进行切换,则该控制器可以稳定闭环系统。网络示例上的模拟说明了我们的方法。
This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state and the input are collected for each mode. Under certain conditions on these measurements, we develop a stabilizing switched controller for the switched system. To be precise, the controller switches between identifying the active mode of the system and applying a predetermined stabilizing feedback. We prove that if the system switches according to certain specifications, this controller stabilizes the closed-loop system. Simulations on a network example illustrate our approach.