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Optimal Feedback Control Infinite Dimensional Parabolic Evolution Systems: Approximation Techniques

机译：最优反馈控制无限维抛物演化系统：近似技术

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摘要

A general approximation framework is discussed for computation of optimal feedback controls in linear quadratic regular problems for nonautonomous parabolic distributed parameter systems. This is done in the context of a theoretical framework using general evolution systems in infinite dimensional Hilbert spaces. Conditions are discussed for preservation under approximation of stabilizability and detectability hypotheses on the infinite dimensional system. The special case of periodic systems is also treated.

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作者
Banks, H. T.; Wang, C.;
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年度 1989
页码 p.1-60
总页数 60
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Control systems design; Control theory; Distributed parameter systems; Feedback control; Linear quadratic regulator; Data structures; Hilbert space; Memory (Computers); Parallel programming;

机译：控制系统设计;控制理论;分布参数系统;反馈控制;线性二次型调节器;数据结构;希尔伯特空间;存储器（计算机）;并行编程;

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专利

1. Finite-dimensional compensators for the H~(infinity) -optimal control of infinite-dimensional systems via a Galerkin-type approximation [J] . Xiao Mingqing, Basar Tamer SIAM Journal on Control and Optimization . 1999,第5期

机译：通过Galerkin型逼近对无限维系统的H〜（无穷）最优控制的有限维补偿器
2. Optimal boundary control of coupled parabolic PDE-ODE systems using infinite-dimensional representation [J] . Mohammadi Leily, Aksikas Ilyasse, Dubljevic Stevan, Journal of Process Control . 2015,第Null期

机译：基于无穷维表示的耦合抛物线PDE-ODE系统的最优边界控制
3. FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD [J] . Gong Wei, Yan Ningning SIAM Journal on Numerical Analysis . 2016,第2期

机译：带有较低维流形的控制的抛物线形最优控制问题的有限元逼近
4. An approximation technique for computing optimal fixed-order controllers for infinite-dimensional systems [C] . Bernstein, D.S., Rosen, . 1988

机译：计算无限维系统最优固定定序控制器的一种近似技术
5. Applications of nonautonomous infinite-dimensional systems control theory for parabolic PDEs. [D] . Ng, James Choon-sun. 2013

机译：非自治无限维系统控制理论在抛物线偏微分方程中的应用。
6. Movement duration Fitts’s law and an infinite-horizon optimal feedback control model for biological motor systems [O] . Ning Qian, Yu Jiang, Zhong-Ping Jiang, -1

机译：运动持续时间FITTS法和生物电机系统的无限范围最佳反馈控制模型
7. Optimal feedback control infinite dimensional parabolic evolution systems: Approximation techniques [O] . Wang C., Banks H. T. 1989

机译：最优反馈控制无穷维抛物线演化系统：逼近技术
8. Optimal feedback control infinite dimensional parabolic evolution systems: Approximation techniques [R] . Banks, H. T., Wang, C. 1989

机译：最优反馈控制无限维抛物线演化系统：近似技术

Optimal Feedback Control Infinite Dimensional Parabolic Evolution Systems: Approximation Techniques

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