一种具有控制时滞的离散系统的变结构控制设计  

A variable structure control for discrete systems with time-delay

作　　者：刘兆雪[1] 景丽[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2012年第3期327-330,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10801023)

摘　　要：研究含时滞的线性离散系统的变结构控制问题。首先将离散系统简化为不含时滞的线性离散系统,然后对简化的系统提出一种新的变结构控制设计算法。该算法分为2个阶段:当系统轨迹在滑模某邻域外时,控制率使系统轨迹单调趋近于滑模面;当系统轨迹渐近进入到该邻域内,控制率使其轨迹一步到达滑模面。抖振现象是离散系统滑模控制算法的主要缺陷,一些学者针对离散系统在削弱抖动方面做了广泛而深入的研究。离散系统在削弱抖振方面的研究提出的算法可以有效地削弱系统解轨迹的不连续性产生抖振的现象,使系统稳定。文章最后给出了数值计算和仿真算例。This paper considers the variable structure control for linear discrete systems with time-delay.The original discrete system with control delay is simplified to a discrete system without time-delay.A new variable structure control strategy is designed for this simplified discrete system.The control algorithm divides the control process into two phases,when the system trajectory is outside of the given neighborhood,the control law is used to drive the trajectory monotonically toward the switching surface,but when the trajectory is inside the neighborhood,the control law drives the trajectory to the switching surface precisely in one step.Chattering phenomena is the main defects of the sliding mode control algorithm for discrete system.Some scholars have done a broad and in-depth study in the aspect of weakening chattering for discrete systems.We focused on discrete system chattering in the research and the proposed algorithm can effectively eliminate a system solution trajectory of discontinuity produce chattering phenomena,making the system stability,and give out numerical results and simulation examples.

关 键 词：离散系统 时滞 变结构控制 抖振 饱和 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]