一类不确定时滞系统的关联稳定和协调控制(英文)  

The interconnected stability and cooperative control for a class of uncertain time-delay systems

作　　者：赵辉[1] 陈东彦[1] 胡军[1] 

机构地区：[1]哈尔滨理工大学应用数学系,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2010年第6期89-97,共9页Electric Machines and Control

基　　金：国家自然科学基金(107710471,0471031);黑龙江省教育厅海外学人项目(1152hq09);黑龙江省教育厅面上项目(11531053)

摘　　要：针对有两个独立子系统的线性不确定时滞系统,研究其关联稳定和协调控制问题。采用线性矩阵不等式和双线性矩阵不等式方法,针对凸多面体不确定性,给出了两个独立的不确定时滞子系统关联稳定和协调控制的充分条件,并进一步将协调控制器的设计问题转化为求解相应的最优化问题,设计了求解优化问题的最优迭代算法。最后,通过一个数值算例验证了所设计的协调控制器能镇定不稳定的子系统,说明了所得结果的有效性。For linear uncertain time-delay systems with two independent uncertain time-delay subsystems,this paper deals with the problem of the interconnected stability and cooperative control.By using the technique of linear matrix inequality（LMI） and bilinear matrix inequality（BMI）,it presented the suffi-cient conditions for interconnected stability and cooperative control of two independent uncertain time-de-lay subsystems.In addition,it converted the problem of designing cooperative controllers into an optimi-zation problem and gave the optimal iterative algorithms for solving the optimization problem.Finally,a numerical example testifies that the cooperative controller can stabilize the unstable subsystems,and illus-trates the effectiveness of the presented result.

关 键 词：双线性矩阵不等式 凸多面体不确定性 关联稳定 协调控制 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]