受扰离散时滞系统的最优变结构控制  

Optimal Variable Structure Control for Discrete Time-Delay Systems With Disturbance

作　　者：董瑞[1] 潘全香[1] 

机构地区：[1]河南科技学院数学系,河南新乡453003

出　　处：《空军雷达学院学报》2011年第4期296-299,共4页Journal of Air Force Radar Academy

基　　金：国家自然科学基金资助项目(40776051)

摘　　要：针对离散时滞不确定系统,设计了二次型性能指标下的最优滑模控制器.通过滑模控制方法,设计最优滑模面,实现状态轨迹在滑模面上滑动运动的最优化;利用含有时滞的两点边值问题的近似解法,得到由参考输入外系统的状态来构造前馈控制作用;设计的观测器对扰动外系统的状态进行了重构,从而得到物理可实现的切换控制律,能有效调控系统的收敛速度.仿真结果表明:所提的方法是有效的,所设计的滑模运动易于实现且对外界扰动具有很强的鲁棒性.For a discrete time-delay uncertain system,the optimal sliding mode controller（OSMC） is designed under the circumstances of quadratic performance index in this paper.By using the sliding mode controlling scheme,the optimal sliding mode face is designed and the optimization of state track sliding on the face imple-mented.By employing the approximate solution to the problems of two-point boundary value with time-delay,the feed-forward control function made from the state by referencing the input external system can be obtained.The state that disturbs the external system is reconstructed by using the designed observer,thus achieving the switching control law that is physically realizable and controlling effectively the convergence rate of systems.Simulation results show that the proposed approach is feasible,and the designed sliding motion is easy to implement and of very strong robustness to external disturbances.

关 键 词：离散系统 时滞系统 最优滑模 变结构控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP391.9[自动化与计算机技术—控制科学与工程]