控制理论(社会学)
反推
颂歌
数学
弹道
常微分方程
李雅普诺夫函数
偏微分方程
自适应控制
分布参数系统
边界(拓扑)
线性系统
非线性系统
微分方程
计算机科学
应用数学
控制(管理)
数学分析
物理
人工智能
量子力学
天文
作者
Yang Zhu,Miroslav Krstić,Hongye Su
出处
期刊:IEEE Transactions on Automatic Control
[Institute of Electrical and Electronics Engineers]
日期:2017-02-01
卷期号:62 (2): 545-560
被引量:49
标识
DOI:10.1109/tac.2016.2555479
摘要
This paper utilizes the concept of a transport partial differential equation (PDE) representation of delayed input to solve the classic problem of output feedback control for a common category of uncertain minimum phase linear time-delay systems in spite of co-existence of unknown plant parameter and actuator delay, as well as unmeasurable ordinary differential equation (ODE) and PDE state. In the case of measurable distributed input, the time-varying trajectory tracking is established while in the other case of unmeasurable distributed input, the constant set-point regulation is accomplished. The applicable output feedback control design incorporates the adaptive backstepping technique for ODE plants with the prediction-based boundary control method for PDE systems. There is not any limitation on relative degree of the considered systems. The Lyapunov-based analysis shows the local stability of the closed-loop ODE-PDE cascade systems.
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