关键词: 随机系统, 非线性系统, 利普希茨条件, 奇异摄动系统, 线性观测器, 鲁棒H_∞性能

Abstract:

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.

Key words: random system, nonlinear system, Lipschitz condition, singular perturbed system, linear observer, robust H_&infin, performance