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[1,2] 肖建[2] 肖承勇[1] 

机构地区：[1]西南科技大学应用技术学院,绵阳 [2]西南交通大学电气工程学院,成都

出　　处：《智能电网（汉斯）》2011年第1期11-16,共6页Smart Grid

基　　金：西南科技大学青年基金(10zx3121);国家自然科学基金(60674057,60974027)。

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.

关 键 词：切换系统 异步切换 镇定 平均驻留时间 扰动 

分 类 号：TP1[自动化与计算机技术—控制理论与控制工程]