In this paper, we establish a separation principle in the practical sense for a class of time-varying perturbed systems satisfying some relaxed condition. Under a restriction on the term of perturbation that is bounded by the sum of a Holder continuous function and a Lipschitz function, we propose a non-linear time-varying practical observer to estimate the system states, a practical state feedback controller, and we prove that the observer based on practical linear controller stabilizes the system.

中文翻译：

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关于时变扰动系统的实用分离原理

在本文中，我们为一类满足某些松弛条件的时变扰动系统建立了一种实用的分离原理。在摄动项受Holder连续函数和Lipschitz函数之和所限制的限制下，我们提出了一个非线性时变实用观测器来估计系统状态，一种实用状态反馈控制器，并且证明了观察者基于实际的线性控制器使系统稳定。