中文摘要：

针对一类非线性不匹配不确定系统,提出了一种具有L2增益的变结构/H∞鲁棒控制方案,使系统状态达到稳定。基于变结构控制设计方法,在理想切换面附近建立一个柔化带。在带外,滑动模态控制律使状态在有限时间内快速进入带内;在带内,具有L2增益的H∞控制律使状态在原点实现李雅普诺夫意义下稳定。该控制方案不仅消除了滑模控制中固有的高频振荡现象,而且也有效地抑制系统参数摄动和外部干扰的影响,使系统具有较强的鲁棒性,数字仿真结果也验证了该控制方案的有效性。

英文摘要：

A control scheme of combining variable structure control and H∞ control was proposed for a kind of nonlinear uncertain systems with mismatch problem.Based on variable structure control theory,a soft boundary layer is built near ideal switch surface.The states outside the layer are quickly driven to the boundary layer in limited time under the sliding mode control law,while H∞ control law with L2 gain make the states entering the boundary layer hold the layer to approach zero.The continuous control law not only eliminates the chattering near the switch surface,but also reduces the effect of parameter variation and disturbance of the nonlinear system.Simulation result shows that the proposed control scheme has strong robustness to disturbance,and the validity of the control system is verified.