Abstract

This study concentrates on the problem of $H_\infty $ output tracking bumpless transfer control for a category of switched linear systems (SLSs). The $H_\infty $ output tracking bumpless transfer control problem is to ensure the SLSs to satisfy the bumpless transfer performance and the $H_\infty $ output tracking properties by co-design of a switching rule and a series of controllers. Firstly, a concept of the bumpless transfer performance for a system in this class is presented. Then, via a Lyapunov function scheme, criteria guaranteeing the bumpless transfer performance and the $H_\infty $ output tracking properties are established. The criteria allow the problem of the $H_\infty $ output tracking bumpless transfer control for subsystems is unsolvable. Finally, an example of controlling a turbofan model is offered for the verification on the effectiveness of the presented control strategy.

中文翻译：

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开关线性系统的H∞输出跟踪无扰动传递控制

摘要

这项研究集中于针对一类开关线性系统（SLS）的$ H_ \ infty $输出跟踪无扰动转移控制问题。$ H_ \ infty $输出跟踪无扰转移控制问题是通过共同设计切换规则和一系列控制器来确保SLS满足无扰转移性能和$ H_ \ infty $输出跟踪属性。首先，提出了此类系统中无扰动传输性能的概念。然后，通过Lyapunov函数方案，建立了保证无扰动传输性能和$ H_ \ infty $输出跟踪属性的准则。该标准允许$ H_ \ infty $输出跟踪子系统无扰动传输控制的问题无法解决。最后，