一类具有输出不确定性的Lipschitz非线性系统观测器设计  

Observer Design for a Class of Lipschitz Nonlinear Systems with Output Uncertainty

作　　者：邹伟[1] 刘玉生[1] 

机构地区：[1]四川大学电气信息学院,四川成都610065

出　　处：《四川大学学报（工程科学版）》2013年第3期108-111,196,共5页Journal of Sichuan University (Engineering Science Edition)

摘　　要：针对输出带有不确定性的Lipschitz非线性系统,提出了一种基于LMI的Lyapunov方法来设计此类系统观测器。在系统输出的不确定性满足Lipschitz条件时,通过LMI方法选取观测器的增益矩阵,并运用Lyapunov方法给出观测器渐近收敛的充分条件。同时给出了满足该观测器Lipschitz常数最大值的计算方法。最后通过仿真实例验证了观测器的有效性。By means of linear matrix inequality （LMI） based Lyapunov method,a nonlinear observer was proposed for a class of Lips chitz nonlinear system with output uncertainty. The observer gain matrix was selected according to LMI with the output uncertainty satis fying Lipschitz conditions. The sufficient condition on ensuring the asymptotic stability of the observer was presented by Lyapunov meth od. At the same time a calculation method of the maximum Lipschitz constant was obtained. The simulation results demonstrated the ef fectiveness of the proposed observer.

关 键 词：不确定性 LIPSCHITZ条件 非线性系统 线性矩阵不等式 LYAPUNOV 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]