摘要
针对一类二阶不确定离散系统 ,利用离散变结构控制系统所具有的滑动模态区 ,提出了一种具有强鲁棒性的时变滑模面离散变结构控制方法 .通过旋转和平移初始滑模面得到了一个时变的滑模面 ,并证明了在此滑模面条件下滑动模态的存在性 .给出了滑模面旋转和平移的具体过程 ,同时由于滑动模态区的宽度固定 ,可定量地确定出滑模面在各个采样时刻的变化量 .该控制方法使得闭环系统在任意的系统初始状态都处于滑动模态区内 ,然后通过结合旋转和平移滑模面的方法 ,使随后任何时刻的系统状态都处于滑动模态区内 .消除了传统变结构控制方法具有的趋近模态运动 ,提高了系统的鲁棒性能 .最后给出了一个数值仿真算例 。
A discrete variable structure control algorithm with time varying sliding surface by employing sliding mode band of discrete variable structure control system was used to achieve high robustness for a class of second order uncertain discrete system. The time varying sliding surface was obtained by rotating and/or shifting the initial sliding mode surface, and the existence of sliding mode with the time varying sliding surface was proved. The rotating and/or shifting procedures are presented in detail, and the movement of the time varying sliding surface was obtained quantitatively at every sampling time by taking advantage of the range of the sliding mode band. The states of the closed loop system moved in the sliding mode band of the time varying sliding surface globally. Reaching mode was eliminated and robustness of the closed loop system was enhanced. Simulation results illustrate the effectiveness of the new design method.
出处
《浙江大学学报(工学版)》
EI
CAS
CSCD
北大核心
2002年第4期416-420,共5页
Journal of Zhejiang University:Engineering Science
基金
国家杰出青年科学基金资助项目 (NSFC:60 0 2 5 3 0 8)
高等学校青年教师教学与科研奖励基金资助项目