对称循环组合系统的几个控制问题  

Some Control Problems for Symmetric Circulant Composite Systems

作　　者：黄守东[1] 张嗣瀛[1] 

机构地区：[1]东北大学自动控制系,沈阳110006

出　　处：《控制理论与应用》1999年第4期478-482,共5页Control Theory & Applications

基　　金：国家自然科学基金!69774005;高等学校博士学科点专项科研基金;辽宁省科学技术基金!972201

摘　　要：研究了对称循环组合系统的输出调节问题和不确定对称循环组合系统的二次稳定性和二次稳定化问题．结果表明，由于对称循环组合系统结构的特殊性，它的输出调节问题可以转化为一些低队系统的输出调节问题．而不确定对称循环组合系统的二次稳定性可以通过考察若干个低阶系统的二次稳定性来判断，且其稳定化控制律也可以通过低阶系统的稳定化控制律来构造．In this paper,we study the output regulation for symmetric circulant composite systems and the quadratic stabilityand the quadratic stabilization for uncertain symmetric circulant composite systems.It is shown that because of the specialstructure of the system,the output regulator problems for such a system can be transfered to the output regulator problem for sys-tems with lower order.The quadratic stability for sucn a system can be simplified by considering the quadratic stability of severalindependent systems of lower order.And the quadratic stabilization controller of such a system can be constructed by the quadratic stabilization controller of systems with lower order.

关 键 词：组合系统 对称循环结构 最优控制 

分 类 号：O232[理学—运筹学与控制论] TP273.1[理学—数学]