In this paper, the covariance control algorithm for nonlinear stochastic systems using covariance feedback is studied. Covariance control of nonlinear systems scenario involves the theory of covariance control based on the idea of the covariance feedback. Therefore, the proposed covariance control algorithm is derived for our case, firstly by applying the covariance control method and linear approximation of nonlinear systems, and then it is achieved by adopting this method for a class of nonlinear stochastic systems by using feedback linearization idea and a covariance feedback controller. The effectiveness of the proposed covariance feedback algorithm is studied using numerous simulations concerning different nonlinear case studies.

中文翻译：

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非线性随机系统协方差控制的协方差反馈方法

本文研究了基于协方差反馈的非线性随机系统协方差控制算法。非线性系统场景的协方差控制涉及基于协方差反馈思想的协方差控制理论。因此，针对我们的情况，首先提出协方差控制算法，方法是应用协方差控制方法和非线性系统的线性逼近，然后通过反馈线性化的思想和方法，将这种方法用于一类非线性随机系统。协方差反馈控制器。提出的协方差反馈算法的有效性是通过涉及不同非线性案例研究的大量仿真研究的。