Time-delay Positive Feedback Control for Nonlinear Time-delay Systems with Neural Network Compensation

新适应时间延期积极反馈控制器(ATPFC ) 为非线性的时间延期系统的一个班被介绍。建议控制计划由神经基于网络的鉴定和时间延期组成积极反馈控制器。与一个特殊动态鉴定模型一起合并的二个高顺序的神经网络(HONN ) 被采用识别非线性的系统。基于识别模型，本地 linearization 赔偿被用来处理系统的未知非线性。线性化的系统的一个 time-delay-free 逆模型和一个需要的引用模型被利用组成反馈控制器，它能导致系统输出追踪一个引用模型的轨道。为鉴定和靠近环的控制系统的追踪的错误的严密稳定性分析借助于 Lyapunov 稳定性标准被提供。模拟结果被包括表明建议计划的有效性。

A new adaptive time-delay positive feedback controller （ATPFC） is presented for a class of nonlinear time-delay systems. The proposed control scheme consists of a neural networks-based identification and a time-delay positive feedback controller. Two high-order neural networks （HONN） incorporated with a special dynamic identification model axe employed to identify the nonlinear system. Based on the identified model, local linearization compensation is used to deal with the unknown nonlinearity of the system. A time-delay-free inverse model of the linearized system and a desired reference model axe utilized to constitute the feedback controller, which can lead the system output to track the trajectory of a reference model. Rigorous stability analysis for both the identification and the tracking error of the closed-loop control system is provided by means of Lyapunov stability criterion. Simulation results are included to demonstrate the effectiveness of the proposed scheme.