摘要
研究等时切换下线性切换系统的稳定性及鲁棒稳定性问题。文中首先提出等时切换的概念,然后利用LMI方法推导出等时切换下线性系统稳定及鲁棒稳定的充要条件,使用这两个充要条件可以将文中研究的复杂问题转化为相应的易处理的线性系统的问题,再利用线性系统已有的结论使问题得到解决。使用上述结果,本文为系统设计了鲁棒控制器。文中还给出实现线性切换系统等时切换的具体方法,这使等时切换方法可以真正应用于工程实践。大量仿真证实文中所提出的方法简洁、有效。
The stability and robust stability of switched linear systems is studied via equal-time interval(ETI) switching sequences in this paper. First, the ETI switching concept is proposed. Then two necessary and sufficient conditions are derived respectively for the stability and robust stability of switched linear systems by LMI method. According to these two conditions, the complex problems about stability and robust stability of switched linear systems can be converted into the corresponding ones of linear systems. The two conditions can be applied to the controller design and robust controller design. Further, a concrete method is given for designing an ETI switching sequence. The switching sequence designed by this method is simpler. Therefore, the results in the paper are fit for physical systems. Simulations are finally presented to show the results are effective.
出处
《计算技术与自动化》
2003年第4期16-20,共5页
Computing Technology and Automation
关键词
线性切换系统
稳定性
鲁棒稳定性
鲁棒控制器
混杂系统
switched linear systems
equal-time interval switching sequences
stability
robust stability
