标题:
含扰动切换系统在异步切换下的镇定Stabilization of Switched Systems with Perturbations under Asynchronous Switching
作者:
向伟铭, 肖建, 肖承勇
关键字:
切换系统, 异步切换, 镇定, 平均驻留时间, 扰动Switched Systems; Asynchronous Switching; Stabilization; Average Dwell Time; Perturbations
期刊名称:
《Smart Grid》, Vol.1 No.1, 2011-06-16
摘要:
本文研究了切换系统在异步切换下的镇定控制器设计问题。在控制器与控制对象的切换律失配情况下，通过分别讨论匹配时间段与不匹配时间段内控制器需要满足的约束条件，给出了基于平均驻留时间方法的镇定控制器设计方法。并将该方法推广到了含扰动的切换系统的镇定控制器设计方法中，设计的控制器在零扰动情况下能够保证闭环系统稳定，在非零扰动情况下能够保证系统状态有界。最后给出了仿真实例，验证了文中方法的有效性。
In this paper, the stabilization of switched systems under asynchronous switching is investigated. When the controller mismatches the switching law, the stabilization condition for switched system during both matching and mismatching period is investigated and an approach of designing stabilizing controller for switched systems based on average dwell time is proposed, and then the approach is extended to design stabi-lizing controller for switched systems with perturbations. The designed controller guarantees the closed-loop system stable under the condition of vanishing perturbations, and ensures the closed-loop system bounded under the condition of non-vanishing perturbations. Finally, the simulation result shows that the approach proposed by this paper is effective.