RECEDING HORIZON CONTROL FOR THE STABILIZATION OF THE WAVE EQUATION

Behzad Azmi; Karl Kunisch

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RECEDING HORIZON CONTROL FOR THE STABILIZATION OF THE WAVE EQUATION

机译：波动方程稳定化的水平控制

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Stabilization of the wave equation by the receding horizon framework is investigated. Distributed control, Dirichlet boundary control, and Neumann boundary control are considered. Moreover for each of these control actions, the well-posedness of the control system and the exponential stability of Receding Horizon Control (RHC) with respect to a proper functional analytic setting are investigated. Observability conditions are necessary to show the suboptimality and exponential stability of RHC. Numerical experiments are given to illustrate the theoretical results.

机译：研究了后方水平框架对波动方程的稳定作用。考虑了分布控制，Dirichlet边界控制和Neumann边界控制。此外，对于这些控制动作中的每一个，都针对适当的功能分析设置，研究了控制系统的适定性和后视水平控制（RHC）的指数稳定性。可观察性条件对于显示RHC的次优性和指数稳定性是必要的。数值实验说明了理论结果。

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来源
《Discrete and continuous dynamical systems》 |2018年第2期|449-484|共36页
作者
Behzad Azmi; Karl Kunisch;
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作者单位

Johann Radon Institute for Computational and Applied Mathematics (RICAM) Austrian Academy of Sciences Altenbergerstraße 69, A-4040 Linz, Austria;

Institute for Mathematics and Scientific Computing University of Graz Heinrichstraße 36, 8010 Graz, Austria Johann Radon Institute for Computational and Applied Mathematics (RICAM) Austrian Academy of Sciences AltenbergerstraCe 69, A-4040 Linz, Austria;

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正文语种 eng
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关键词
Receding horizon control; model predictive control; asymptotic stability; observability; optimal control; infinite-dimensional systems;

机译：后退水平控制;模型预测控制;渐近稳定性可观察性最佳控制;无限维系统;

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专利

1. ON THE STABILIZABILITY OF THE BURGERS EQUATION BY RECEDING HORIZON CONTROL [J] . Azmi Behzad, Kunisch Karl SIAM Journal on Control and Optimization . 2016,第3期

机译：依赖水平控制的Burgers方程的稳定性
2. Receding Horizon Control for High-Dimensional Burgers' Equations with Boundary Control Inputs [J] . Tomoaki Hashimoto, Yu Takiguchi, Toshiyuki Ohtsuka Transactions of the Japan society for aeronautical and space sciences . 2013,第3期

机译：具有边界控制输入的高维Burgers方程的后退水平控制
3. An LMI Approach to Computing Delayed Perturbation Bounds for Stabilizing Receding Horizon H_∞ Controls [J] . ChoonKi AHN, SooHee HAN IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2008,第3期

机译：LMI方法用于计算延迟摄动界以稳定后退水平H_∞控制
4. Receding horizon optimal control for the wave equation [C] . Altmüller N., Grüne L., Worthmann K. 49th IEEE Conference on Decision and Control . 2010

机译：波动方程的后视最优控制
5. Learning Techniques in Receding Horizon Control and Cooperative Control. [D] . Zhang, Hongwei. 2010

机译：后退水平控制和协作控制中的学习技术。
6. Evolutionary Computation with Spatial Receding Horizon Control to Minimize Network Coding Resources [O] . Xiao-Bing Hu, Mark S. Leeson -1

机译：具有空间后备视界控制的进化计算可最大程度地减少网络编码资源
7. Receding horizon control for the stabilization of the wave equation [O] . Behzad Azmi, Karl Kunisch 2018

机译：后退地平线控制用于稳定波动方程

RECEDING HORIZON CONTROL FOR THE STABILIZATION OF THE WAVE EQUATION

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