标题： 具有分布时滞的仿射输入系统的非线性预测反馈 显示英文标题

标题： Nonlinear Predictor Feedback for Input-Affine Systems with Distributed Input Delays

摘要： 基于预测的变换应用于具有分布时滞的控制仿射系统。 变换后的系统状态被计算为系统对未来输入的历史响应的预测，其中未来输入设置为零。 新系统的稳定化导致了对原始系统Lyapunov-Krasovskii证明的稳定性。 关于原始系统，条件是：平滑的线性有界开环向量场和平滑的均匀有界输入向量。 对于最终变为未延迟输入仿射但输入向量依赖于输入历史和系统状态的变换系统，我们假设存在一个线性有界的稳定反馈和二次有界的控制Lyapunov函数。 如果所有假设全局成立，则达到的指数稳定性是全局的，否则是局部的。 提供了分析性和数值性的控制设计示例。 显示英文摘要

摘要： Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero. Stabilization of the new system leads to Lyapunov-Krasovskii proven stabilization of the original one. Conditions on the original system are: smooth linearly bounded open-loop vector field and smooth uniformly bounded input vectors. About the transformed system which turns out to be affine in the undelayed input but with input vectors dependent on the input history and system state, we assume existence of a linearly bounded stabilizing feedback and quadratically bounded control-Lyapunov function. If all assumptions hold globally, then achieved exponential stability is global, otherwise local. Analytical and numerical control design examples are provided.