求解奇异摄动固定端点最优控制问题的边值技术

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.4660090407

M. K. Kadalbajoo, Arindama Singh

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引用次数: 0

摘要

提出了一种求解具有二次代价和奇异摄动状态的固定端点线性最优控制问题的方法。将问题转化为两点边值问题后，我们选择两点t1, t2 ε [t0, tf]，令τ = (t-t0)/ ε， σ = (tf-t)/ ε。然后分别在区间[t0, t1]、[t1, t2]和[t2, tf]上求解了τ尺度、原始尺度和σ尺度的边值问题。最后通过一个测试实例对该方法进行了说明。

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A Boundary value technique for solving singularly perturbed, fixed end-point optimal control problems

A method is proposed to solve fixed end-point, linear optimal control problems with quadratic cost and singularly perturbed state. After translating the problem into a two-point boundary value problem, we choose two points t1, t2 ϵ [t0, tf] and let τ = (t-t0)/ϵ and σ = (tf-t)/ϵ. The τ-scaled, original and σ-scaled boundary value problems are then solved on the intervals [t0, t1], [t1, t2] and [t2, tf] respectively. A test example is solved to illustrate the method.

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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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