一类不确定线性切换系统的鲁棒H_∞滑模控制  

Robust H-infinity sliding mode control for a class of uncertain switched linear systems

作　　者：连捷[1] 赵军[1] 

机构地区：[1]东北大学流程工业综合自动化教育部重点实验室,辽宁沈阳110004

出　　处：《控制理论与应用》2008年第3期492-496,共5页Control Theory & Applications

基　　金：国家自然科学基金(60574013)

摘　　要：对一类含有非匹配不确定性且有外部干扰的线性切换系统,研究了H_∞滑模变结构控制问题.利用LMI技术和单Lyapunov函数方法,设计单H_∞滑模面,切换律以及子系统的变结构控制器,确保了切换系统的闭环系统为鲁棒稳定.且具有H_∞扰动衰减度γ.系统状态到达滑模面后,该滑模面成为切换系统的全局鲁棒滑模面.可提高系统的暂态性能和鲁棒性.仿真例子说明所提出设计方法的有效性.The robust H-infinity sliding-mode variable-structure control is addressed for a class of switched linear systems with mismatched uncertainties and external disturbances. Based on the linear matrix inequality （LMI） technique and the single Lyapunov-function approach, a single H-infinity sliding surface, a switching law and variable structure control laws of subsystems are designed such that the resultant closed-loop system is robustly stable and satisfied with the H-infinity disturbance attenuation level γ. Once the state of the system reaches the sliding surface, the sliding surface becomes a global sliding surface, improving the transient performance and robustness. A numerical example illustrates the effectiveness of the proposed design method.

关 键 词：切换系统 滑模控制 单H∞滑模面 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]