含有控制时滞的多输入离散系统的变结构控制  

Variable Structure Control for Multi-Input Discrete Systems with Time-Delay in Control

作　　者：邓臻[1] 陈红燕[1] 高存臣[2] 

机构地区：[1]青岛工学院基础教育学院,山东青岛266300 [2]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2015年第4期130-134,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(60974025);青岛工学院2014年董事长基金项目(2014JY002)资助

摘　　要：给出了多输入离散系统的基于时变衰减幂次趋近律的滑模变结构控制方法,并通过时滞变换将结果推广到含有控制时滞的情形。首先选取具有适当增益矩阵的线性切换函数以保证系统在切换面上的理想准滑模运动方程的极点可任意配置。其次基于时变衰减幂次趋近律设计了准滑模控制器,该控制器能够保证两类离散系统的运动轨迹在有限时间内到达准滑模带,然后要么直接转入理想准滑模,要么在准滑模带中以指数幂速率快速趋于理想准滑模,并使系统的运动轨迹能够渐近趋于状态空间的原点,而不再是原点附近某邻域中出现稳定抖振。最后的仿真结果进一步表明了这种方法的有效性。The design method of variable structure control for multi-input discrete systems based on the time-varying attenuating power reaching law is proposed.This method is also extended to discrete systems with time-delay in control by a time-delay sate transform.Firstly,the gain matrix of linear switching function is chosen properly in order to assure that the poles of ideal quasi-sliding mode equation in quasi-switching manifold can be designed arbitrarily.Secondly,the quasi-sliding mode controller based on the timevarying attenuating power reaching law can ensure that the state trajectory of multi-input discrete systems with/without time-delay in control reaches a small neighborhood of quasi-switching manifold,and then the trajectory either arrives at the quasi-switching manifold in a next step or converges to the quasi-switching manifold quickly in a power exponential rate,the system state trajectory is guaranteed to converge into the origin of state space,not a stable chatting any more.Fainally a numerical simulation results demonstrate the proposed method is feasible and effective.

关 键 词：离散系统 变结构控制 多输入 时滞 抖振 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]