一类具有输出不确定性的Lipschitz非线性系统观测器设计

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.

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

A nonlinear observer was proposed for a class of Lipschitz nonlinear system with output uncertainty by means of Lyapunov method based on linear matrix inequality (LMI) . The observer gain matrix was selected according to linear matrix inequality (LMI) with the output uncertainty satisfying Lipschitz conditions . The sufficient condition on ensuring the asymptotic stability of the observer was presented by Lyapunov method. At the same time a calculation method of the maximum Lipschitz constant was obtained. Finally the simulation results demonstrated the effectiveness of the proposed observer .