Distributed control of layered orthotropic plates with damping

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.4660090102

S. Adali, I. Sadek, J. Sloss, J. Bruch

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引用次数: 5

Abstract

Optimal control of a composite rectangular plate on an elastic foundation is studied with the objective of minimizing its dynamic response in a given period of time with the minimum possible expenditure of force. The plate undergoes transient vibrations starting from specified initial displacement and velocity distributions, and the control is exercised by optimally determining the transverse distributed force. The multiple objectives of the problem are taken into account by adopting a vector performance criterion comprising quadratic functional of the deflection, velocity and distributed force. The sufficiency condition of optimality is derived using control theory results which lead to an analytic solution of the problem. Numerical results are given for simply supported plates made of specially orthotropic layers of boron-fibre-reinforced plastic material. It is demonstrated that the effectiveness of the proposed control depends on the lamination order, foundation modulus, viscous damping, aspect ratio and terminal time as well as on the weight factors attached to various cost functionals.

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带阻尼层状正交各向异性板的分布控制

研究了弹性基础上矩形复合板的最优控制问题，其目标是在给定时间内以最小的力消耗使其动力响应最小。板从指定的初始位移和速度分布开始进行瞬态振动，通过最优确定横向分布力来进行控制。采用由挠度、速度和分布力的二次函数构成的矢量性能准则，考虑了问题的多目标。利用控制论的结果，导出了最优性的充分条件，得到了问题的解析解。给出了由特殊正交各向异性硼纤维增强塑料层制成的简支板的数值结果。结果表明，所提出的控制的有效性取决于层序、地基模量、粘性阻尼、长径比和终端时间，以及附加在各种成本函数上的权重因子。

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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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.