多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 multiple time-delays

作　　者：郭继峰[1] 高存臣[2] 

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

出　　处：《哈尔滨工业大学学报》2009年第7期238-240,244,共4页Journal of Harbin Institute of Technology

摘　　要：研究一类离散多时滞广义不确定系统的变结构控制的综合与设计问题.首先把所给系统受限等价分解成两个低维的不确定子系统.其次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,使得在此控制作用下,系统从状态空间中任意一点出发的解的轨迹,或者在有限步内到达准切换流形,此后在其上渐近滑向原点;或者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抖振.给出数值例子说明该综合方法的有效性与实用性.Synthesis of variable structure controller for discrete uncertain singular system with multiple timedelays was studied. Firstly, the system was decomposed into two low dimensional uncertain subsystems. Secondly, switching function with difference compensator was designed to guarantee the asymptotically stable movement of the system in quasi-switching manifold. Thirdly, variable structure controller was designed, by which the solution trajectory of system was forced to arrive at the quasi-switching manifold in finite steps and ultimately vanished to zero, or entered into a small neighborhood of the quasi-switching manifold in finite steps and converged to a small chattering in the neighborhood. Finally, a numerical example was given to demon- strate effectiveness and simplicity of the design method.

关 键 词：离散系统 广义系统 不确定系统 多时滞 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]