不确定切换系统的鲁棒H∞控制:滑模控制设计

研究了一类不确定切换系统的鲁棒H∞控制问题, 提出一个新的鲁棒H∞滑模变结构控制方法. 该方法分为二个步骤. 首先是构造单鲁棒H∞滑模面, 使得降阶等效滑动模态在所设计的滞后切换律下是鲁棒镇定的且具有H∞扰动衰减度γ. 其次是设计变结构控制, 以确保切换系统的状态在有限时间内到达这个单鲁棒H∞滑模面. 仿真例子说明提出设计方法的有效性.

Robust H∞ Control of Uncertain Switched Systems: a Sliding Mode Control Design

This paper develops a new method to the robust H_∞ control problem for a class of uncertain switched systems by constructing a single robust H_∞ sliding surface. The method consists of two phases. One is to construct a single sliding surface such that the reduced-order equivalent sliding motion restricted to the sliding surface is robustly stabilizable with H_∞ disturbance attenuation level γ under a hysteresis switching law; the other phase is to design variable structure controllers of subsystems to drive the state of the switched system to reach the single sliding surface in finite time and remain on it thereafter. A numerical example is given to illustrate the effectiveness of the proposed method.