仿射不确定广义系统的鲁棒耗散性分析  

Robust Dissipativeness Analysis for Singular Systems with Affine Uncertainty

作　　者：刘立萍[1] 董心壮[1] 王娃女[1] 

机构地区：[1]青岛大学自动化工程学院,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2010年第4期5-9,共5页Journal of Qingdao University(Engineering & Technology Edition)

摘　　要：主要研究具有仿射不确定性的广义系统的鲁棒耗散性分析问题。通过参数依赖的广义Lyapunov函数和线性矩阵不等式(LMI)方法,给出了保证仿射不确定广义系统广义二次稳定且严格耗散的判别条件,其中所需求解的LMI总数为不确定参数个数的指数级函数。通过数值算例证明了判别条件的有效性。This paper mainly deals with the problem of robust dissipativeness analysis for singular systems with affine uncertainty.By means of generalized parameter-dependent Lyapunov function and linear matrix inequalities（LMIs）,a sufficient condition is given to guarantee the generalized quadratic stability and strict dissipativeness of the singular systems with affine uncertainty,in which the total number of the LMIs to be solved is an exponential function of the number of the uncertain parameters.Finally,a numerical example is given to illustrate the effectiveness of the proposed conditions.

关 键 词：仿射不确定性 广义二次稳定 线性矩阵不等式(LMI) 严格耗散 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]