This paper considers the design of output tracking and feedback controllers for nonlinear stochastic systems. The system status cannot be measured. The studied system contains nonlinear state functions, noise disturbances and time delays. We use the free weight matrix method to avoid the conservatism caused by the use of model transformation or cross-term bounded techniques. Based on the Lyapunov-Krasovskii functional method, we propose an output tracking and feedback controller design method based on linear matrix inequality (LMI). Numerical examples show the validity of the obtained results.

中文翻译：

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非线性随机时滞系统的输出跟踪和反馈控制器设计

本文考虑了非线性随机系统的输出跟踪和反馈控制器的设计。无法测量系统状态。所研究的系统包含非线性状态函数、噪声干扰和时间延迟。我们使用自由权矩阵方法来避免由于使用模型变换或交叉项有界技术而导致的保守性。基于Lyapunov-Krasovskii泛函方法，我们提出了一种基于线性矩阵不等式（LMI）的输出跟踪和反馈控制器设计方法。数值例子表明了所得结果的有效性。