非线性分布参数系统的有限元配置优化控制

IF 2 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS Optimal Control Applications & Methods Pub Date : 2007-10-29 DOI:10.1002/OCA.4660030107

K. C. Rao, S. Prabhu, S. Mehta

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引用次数: 0

摘要

提出了求解非线性分布参数系统(DPS)最优控制问题的有限元配置方法。在每个单元上，采用两个高斯配点法和Hermite近似函数进行有限元配点法。本文报道了两种非线性DPS的数值经验，一种是分布式控制，另一种是空间无关控制。当采用这种有限元配置技术时，可以用相对低阶的模型来计算DPS的最优控制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal control of non‐linear distributed parameter systems by a finite‐element collocation technique

A finite-element collocation technique is proposed for solving non-linear distributed parameter system (DPS) optimal control problems. On each element, two Gaussian collocation points and Hermite approximation functions are used in the finite-element collocation technique. The numerical experience for two non-linear DPS, one involving distributed control and the other involving spatially-independent control, is reported. Optimal control of DPS can be computed with relatively low-order models when this finite-element collocation technique is used.

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来源期刊

Optimal Control Applications & Methods 工程技术-应用数学

CiteScore

3.90

自引率

11.10%

发文量

108

审稿时长

3 months

期刊介绍： Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.

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