基于比较原理的非线性组合系统的输出反馈镇定  

Output feedback stabilization for composited nonlinear systems based on comparison principle

作　　者：张志飞[1] 苏彩红[1] 章兢[2] 

机构地区：[1]佛山科学技术学院机电与信息学院,广东佛山528000 [2]湖南大学电气与信息学院,长沙410000

出　　处：《控制与决策》2007年第7期836-840,共5页Control and Decision

基　　金：湖南省自然科学基金项目(04JJ3011);湖南省科技计划项目(05GK2003).

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维数较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,建立了等价稳定条件的QLMI表示形式.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.数值实例说明了所提出算法在实际工程应用中的可行性和有效性.A comparing model is introduced to transfer the problem of output feedback for stabilizing the composited nonlinear systems into the problem of output feedback for stabilizing the comparison systems with lower dimensions, by employing comparison principle and LMI stability theory integrally. A stability condition is developed by using M matrix, and the equivalent LMI expression is founded, which is used to obtain the output feedback gain. The characteristic of the proposed method is to decrease the complexity of the design of stability controller. Finally, a numeral example shows its feasibility and effectiveness.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]