摘要
选取新型Lyapunov函数,采用Lyapunov方法综合讨论了一类Lipschitz非线性系统状态观测器设计问题,分2种情形给出了观测器渐近收敛的充分条件。结果表明,稳定观测器的存在直接与误差动态的稳定性矩阵测度及增益矩阵的范数有关。当输出相对于状态为线性时,借助于LMI技术进行了观测器增益矩阵的选取。仿真实例验证了结论的有效性。
Observers design for a class of Lipschitz nonlinear systems has been comprehensively discussed adopting Lyapunov method by selecting the novel Lyapunov function.Sufficient conditions ensuring asymptotic stability of the observers are presented for two cases.It is shown that existing of stable observers is related directly to stability matrix measures of error dynamics and the norm of gain matrix.When outputs in relation to states,are linear,the selection of the gain matrix can be obtained by LMI technology.Finally simulation results verify the effectiveness.
出处
《青岛科技大学学报（自然科学版）》
CAS
2010年第2期206-209,共4页
Journal of Qingdao University of Science and Technology:Natural Science Edition
