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

中文关键词  切换系统  滑模控制  单H_∞ 滑模面

英文关键词  switched systems  sliding mode control  single H-infinity sliding surface

中文摘要

      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.

英文摘要

      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.