线性广义系统基于观测器的严格耗散控制  

Observer-based Strictly Dissipative Control for Linear Singular Systems

作　　者：张玉[1] 董心壮[1] 

机构地区：[1]青岛大学自动化工程学院,山东青岛266071

出　　处：《计算技术与自动化》2009年第2期13-18,共6页Computing Technology and Automation

摘　　要：研究线性广义系统基于观测器的严格耗散控制器的设计问题。首先利用Lyapunov函数的方法,由矩阵不等式的形式给出满足要求的基于观测器的控制器存在的一个充分条件,保证闭环广义系统容许(即正则、稳定、无脉冲)且严格耗散。进而在上述条件的基础上,通过矩阵缩放技术和矩阵等价变换得到由线性矩阵不等式(LMI)形式给出的满足要求的控制器的存在条件和设计方法。最后给出一个数值算例说明设计方法的有效性及可行性。This paper mainly deals with the problem of designing observer- based strictly dissipative controllers for linear singular systems. By using the Lyapunov function method, a sufficient condition in terms of matrix inequalities is given for the existence of an observer- based controller, which can guarantee the closed- loop linear singular system admissible （i. e. regular, stable and impulse free） and strictly dissipative. Based on the above condition, by means of matrix magnified inequalities and matrix equivalence transformation, the existence condition and design method of the above observer- based controller are obtained by using linear matrix inequalities （LMIs）. Finally, a numerical example is provided to demonstrate the validity and effectiveness of the proposed method.

关 键 词：线性广义系统 严格耗散控制 容许 观测器 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]