时滞离散广义不确定系统的变结构控制  

Variable Structure Control of Discrete Uncertain Singular System with Time-delays

作　　者：郭继峰[1] 高存臣[2] 

机构地区：[1]青岛理工大学,山东青岛266520 [2]中国海洋大学数学系,山东青岛266071

出　　处：《信息与控制》2006年第5期600-607,共8页Information and Control

摘　　要：研究了一类线性离散时滞广义不确定系统的变结构控制的综合与设计问题.首先引入了一种新的受限系统等价分解形式,把所给的系统分解成两个低维的不确定子系统.其次,在上述分解的基础上,根据离散时滞广义系统鲁棒稳定性的有关结果,设计了带有差分补偿器的切换函数,使得系统在准切换流形上的运动渐近稳定.然后设计了离散变结构控制律,使得在此控制律的作用下,系统的运动轨迹要么在有限步内到达准切换流形并在其上渐近滑向原点;要么在有限步内进入准切换流形的一个较小的邻域内并稳定于原点附近的某个小的抖振.最后,给出了两个数值例子以说明该综合设计方法的有效性与实用性.*This paper studies the synthesis and design problem of variable structure control for a linear discrete uncertain singular system with time-delays. Firstly, a new equivalent form of constrained system is developed and the system is decomposed into two low dimensional uncertain subsystems. Secondly, based on some results of the robust stability of discrete singular systems with time-delays, a switching function with difference compensator is designed, which guarantees that movement of the system is asymptotically stable in a quasi-switching manifold. Thirdly, a variable structure controller is designed, which can force the system trajectory either to arrive at the quasi-switching manifold in limited steps and ultimately slide to zero on the quasi-switching manifold or to enter into a small neighborhood of the quasi-switching manifold in limited steps and be convergent to a small chattering in the neighborhood. Finally, two numerical examples are given to demonstrate the effectiveness and practicability of the design method.

关 键 词：离散系统 广义系统 不确定系统 时滞 变结构控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]