This paper focuses on the stabilization of a class of uncertain switched linear systems with admissible edge-dependent (AED) switching signals, where disturbances exist in not only the state equation but also output equation. The performance of switchings from the current system mode to the other is shown by the concept of admissible transition edge-dependent weights (ATEWs). A special output transformation is adopted to construct a new system with the same states as the original system but different output, where the disturbance in measurement equation is decoupled. Then, a multiple-mode unknown input observer (UIO) with AED switching is proposed to simultaneously estimate the state and disturbance. Next, an observer-based controller is developed to stabilize the uncertain switched system, then the conditions ensuring the stability of the closed-loop system are provided. Finally, the validity of the proposed method is shown by an example.

本文重点研究一类具有可容许边沿相关 (AED) 开关信号的不确定开关线性系统的稳定性，其中扰动不仅存在于状态方程中，而且存在于输出方程中。从当前系统模式切换到另一种模式的性能由可容许过渡边缘相关权重 (ATEW) 的概念显示。采用特殊的输出变换构造一个与原系统状态相同但输出不同的新系统，对测量方程中的扰动进行解耦。然后，提出了一种具有 AED 切换的多模式未知输入观测器 (UIO)，以同时估计状态和干扰。接下来，开发了一种基于观测器的控制器来稳定不确定切换系统，然后给出保证闭环系统稳定的条件。最后，通过一个例子证明了所提出方法的有效性。