具有强鲁棒性的滑模变结构控制  

Sliding Mode Variable Structure Control with Strong Robustness

作　　者：刘云峰[1] 陈斌文[1] 缪栋[1] 袁润平[2] 杨小冈[1] 

机构地区：[1]第二炮兵工程学院303教研室,陕西西安710025 [2]西安交通大学电子与信息工程学院,陕西西安710049

出　　处：《信息与控制》2008年第2期140-145,共6页Information and Control

摘　　要：针对一类高阶不确定非线性系统,基于指数型快速终端滑模的良好特性,提出了一种新的滑模变结构控制.系统状态变量能以较快的收敛速度在有限时间内到达各级滑模面的邻域,并最终收敛到平衡点附近很小的区域.使用李亚普诺夫稳定性理论证明了系统的渐近稳定性,并推导出各级邻域和系统不确定环节的数学关系.Matlab仿真验证了系统的强鲁棒性.Based on the good properties of exponential fast terminal sliding mode,a novel sliding mode variable structure control for high-order uncertain nonlinear systems is proposed.The system state variables can reach a neighborhood of the sliding mode surfaces with a fast convergence rate in finite time,and finally converge to a small neighborhood of the equilibrium point.Asymptotical stability of the system is proved with Lyapunov stability theory,and the mathematical relationship between the neighborhood of each sliding mode surface and the system uncertainity is derived.Strong robustness of the system is validated with Matlab simulation.

关 键 词：滑模变结构控制 指数型快速终端滑模 有限时间控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]