论文标题
开关线性系统的数据驱动开关逻辑设计
Data-driven switching logic design for switched linear systems
论文作者
论文摘要
本文涉及离散时间切换线性系统的稳定，当没有可用的子系统的状态空间模型的明确知识。考虑到子系统之间的一组可接受的开关，子系统上的可接受的住所时间以及满足某些属性的子系统的一组有限状态轨迹，我们设计了一种算法，设计了一个定期切换逻辑，以保留所得开关系统的稳定性。我们结合了两种成分：（a）基于数据的离散时间线性系统的稳定性分析，以及（b）为此目的，基于多个lyapunov的功能和基于图形步行的设计。提出了一个数值示例，以证明所提出的算法。
This paper deals with stabilization of discrete-time switched linear systems when explicit knowledge of the state-space models of their subsystems is not available. Given the set of admissible switches between the subsystems, the admissible dwell times on the subsystems and a set of finite traces of state trajectories of the subsystems that satisfies certain properties, we devise an algorithm that designs periodic switching logics which preserve stability of the resulting switched system. We combine two ingredients: (a) data-based stability analysis of discrete-time linear systems and (b) multiple Lyapunov-like functions and graph walks based design of stabilizing switching logics, for this purpose. A numerical example is presented to demonstrate the proposed algorithm.
