非线性随机跳变摄动系统的鲁棒H_∞全阶观测器

Design of a robust H_∞ full-order observer about the nonlinear singular perturbed random jumping system

讨论了一类非线性随机跳变摄动系统鲁棒H∞全阶观测器的设计问题.根据李雅普诺夫稳定性理论,对于观测方程带有Lipschitz非线性项的随机跳变摄动系统,给出了非线性系统的随机稳定判别矩阵,并在此基础上设计了估计误差具有鲁棒H∞镇定性能的线性全阶观测器,推导了观测器增益的计算方法.与奇异系统不同的是,文中所给出的方法着重考虑了未忽略小时间参数时对估计误差的影响,并在此基础上计算了允许估计误差满足鲁棒H∞镇定性能的小时间参数上界.

The design of the robust H∞ full-order observer about the nonlinear singular perturbed system is investigated. Based on the Lyapunov stability theory, for the singular perturbed random jumping system in which the observation equation has the Lipschitz nonlinear item, the matrix that deals with the stochastic stability of such a random system is given, and the robust full-order observer in which the estimated error has H∞ performance is designed and the observer gain is computed. The singular system and the singular perturbed system differ in that this method in our paper considers the effect of small time parameter, which is not neglected, and the small time parameter upper bound that allows the H∞ error is computed. Finally the result validates the correctness and the availability of this method