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线性关联滞后广义大系统的变结构控制
引用本文:高存臣,郭继峰.线性关联滞后广义大系统的变结构控制[J].中国海洋大学学报(自然科学版),2005,35(5):757-760.
作者姓名:高存臣  郭继峰
作者单位:1. 中国海洋大学,山东,青岛,266071
2. 中国海洋大学,山东,青岛,266071;青岛理工大学,山东,青岛,266520
基金项目:国家自然科学基金(69974032)资助
摘    要:研究了一类线性关联滞后广义大系统的变结构控制综合问题.首先根据系统的结构和控制输入的特定形式,引入了1种新的受限系统等价分解形式,把每个子系统分解成2个低维的动态子系统:1个是不带控制项的线性关联微分差分系统,另1个是带有控制项的线性关联差分系统.然后设计了带有积分动态补偿器的切换函数, 给出了滑动模渐近稳定的充分条件.最后设计了可以保证系统的解的轨迹到达切换流形的多层分散变结构控制.这种控制对物理上分散等类型的线性关联滞后广义系统是合理的有效的.

关 键 词:关联广义大系统  时间滞后  多层分散变结构控制
文章编号:1672-5174(2005)05-757-04
收稿时间:2005-04-21
修稿时间:2005-06-26

Variable Structure Control for Linear Time-Delay Large-Scale Interconnected Singular System
GAO Cun-Chen,GUO Ji-Feng.Variable Structure Control for Linear Time-Delay Large-Scale Interconnected Singular System[J].Periodical of Ocean University of China,2005,35(5):757-760.
Authors:GAO Cun-Chen  GUO Ji-Feng
Institution:1. Ocean University of China, Qingdao 266071, China; 2. Qingdao Technological University, Qingdao 266520, China
Abstract:Synthesis and design problem of variable structure control for time-invariant linear time-delay large-scale interconnected singular systems is studied. Firstly, according to the feature of the system and control form, a new restricted system equivalent decomposition form is developed. Every subsystem is decomposed into two lower dimensional subsystems: one is an interconnected linear differential difference system without input; the other is an interconnected linear difference system with input. Secondly, based on the above decomposition and some results on the asymptotic stability of large-scale time-delay singular systems, a switching function with an integral dynamic compensator is designed, and some sufficient conditions for the asymptotic stability of the sliding mode are given. Finally, two-level variable structure control which guarantes that the solution trajectory of the system arrivs at sliding manifold in limited time is designed. The first level is local control, and the second level is global coordinated variable structure control. The design method is reasonable and effective for some kind of large-scale time-delay singular systems whose subsystems are scattered in space.
Keywords:interconnected large-scale singular system  time delay  multilevel decentralized variable structure control
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