不确定时滞组合系统的分散输出反馈镇定  

Output feedback stabilization of interconnected nonlinear systems with delay based on the comparison principle

作　　者：张志飞[1] 章兢[2] 

机构地区：[1]佛山科学技术学院自动化系,广东佛山528000 [2]湖南大学电气与信息工程学院,湖南长沙410010

出　　处：《系统工程与电子技术》2007年第11期1927-1930,共4页Systems Engineering and Electronics

基　　金：湖南省重点科研项目(05GK2003);湖南省自然科学基金(04JJ3011)资助课题

摘　　要：综合运用比较原理和LMI方法,通过构造一比较系统,将原组合系统的稳定性问题转化为讨论维数低的比较系统的稳定性问题,并利用M矩阵特性导出了比较系统稳定的一个充分条件;为了求取输出反馈增益,建立了等价的稳定条件的QLMI表示形式。通过建立QMI中一矩阵变量的递推关系,将QMI问题转换为一替代过程的LMI求解问题,进而通过求解这一LMI问题来获取可镇定的非线性组合系统输出反馈增益阵。这一方法的特点是使大系统的稳定控制器设计的复杂度保持在子系统一级的水平上,给出实例说明了算法在实际工程应用中是有效的。A comparing model is introduced to transfer the problem of output feedback of original systems into that of the comparison systems with lower dimensions, A stability condition is developed in form of M matrix, the corresponding LMI expression is founded, which leads to an iterative approach to obtain the output feedback gain. An algorithm to obtain the output-feedback gain matrix is developed here based on the LMI technique. The key technique of developing iterative law of the matrix variable existing in QMI is discussed also. The character of the proposed method is decreasing complexity. Finally, a numerical example is given to illustrate the proposed result and its application.

关 键 词：比较原理 非线性组合系统 输出反馈镇定 线性矩阵不等式 20 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]