Asynchronous H∞ State Dependent SwitchingControl of Discrete-time Systems With Dwell Time
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摘要: 针对一类切换线性系统，本文提出了一种基于系统状态的驻留时间策略.这种切换策略不仅使异步状态反馈切换系统稳定，而且缩短了系统的运行时间.对于异步切换系统的稳定性和增益问题，本文主要的结论是在子系统运行期间Lyapunov函数允许增加，同时又没有的限制.通过利用基于系统状态的驻留时间策略，推导出了切换线性系统的控制器设计的充分条件.得出的结论也可以推广到非线性切换系统.本文中最后给出的算例用于说明该方法的有效性.
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关键词:
- 异步状态反馈切换系统 /
- 驻留时间策略 /
- 离散时间系统
Abstract: For a class of switched linear systems, we propose a dwell time strategy depending on the state of systems. This switching strategy not only makes the asynchronous H∞ state-feedback switched systems stable but also shortens the active time. A new result on stability and l2-gain analysis for switched systems is given where the Lyapunov functions are allowed to be increasing during the running time of subsystems, at the same time, the Lyapunov functions do not contain the limit of μ. By using the dwell time strategy depending on the state of systems, sufficient conditions for the desired H∞ controller of switched linear systems are derived. Then the result is expanded to nonlinear switched systems. A numerical example is provided to demonstrate the effectiveness of the proposed design approach.-
Key words:
- Asynchronous H∞ state-feedback switched systems /
- discrete-time systems /
- dwell time strategy
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