切换离散线性奇异系统的观测器设计  

The observer design of switched discrete linear singular systems

作　　者：葛世斌[1] 李圣荣[1] 

机构地区：[1]咸阳职业技术学院,陕西咸阳712000

出　　处：《宝鸡文理学院学报（自然科学版）》2010年第4期18-21,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的研究切换离散线性奇异系统的状态观测器设计问题。方法利用共同Lyapunov函数方法。结果与结论给出了一个在任意切换律下是渐近稳定的充分条件和一类共同Lyapunov函数,并在所有子系统均能检测且因果能观的条件下,给出了切换离散线性奇异系统存在奇异状态观测器和正常降维状态观测器的充分条件和设计算法。最后以一个数值例子说明了该方法的有效性。Aim To investigate the problem of observer design for switched discrete linear singular systems. Methods The method of common Lyapunov function is used. Results and Conclusion A sufficient condition of asymptotical stability under arbitrary switching laws and a common Lyapunov function are given, and a sufficient condition for the existence Of singular observer and reduced order observer is given and the algorithm is also presented under the conditions that all subsystems are detectable and casually observable. Finally, a numerical example illustrates the effectiveness of the proposed method.

关 键 词：切换系统 离散奇异系统 观测器 共同LYAPUNOV函数 

分 类 号：O231.2[理学—运筹学与控制论]