Convergence of a Pseudospectral Method for Optimal Control of Complex Dynamical Systems

被引：0

作者：

Ruths, Justin ^{[1
]}

Zlotnik, Anatoly ^{[2
]}

Li, Jr-Shin ^{[3
]}

机构：

[1] Singapore Univ Technol & Design, Fac Engn Syst & Design, Singapore, Singapore

[2] Washington Univ St Louis, Dept Elect & Syst Engn, St Louis, MO 63112 USA

[3] Univ Washington St Louis, Fac Elect & Syst Engn, St Louis, MO USA

来源：

2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Pseudospectral approximation techniques have been shown to provide effective and flexible methods for solving optimal control problems in a variety of applications. In this paper, we provide the conditions for the convergence of the pseudospectral method for general nonlinear optimal control problems. Further, we show that this proof is directly extendible to the multidimensional pseudospectral method for optimal ensemble control of a class of parameterized dynamical systems. Examples from quantum control and neuroscience are included to demonstrate the method.

引用

页码：5553 / 5558

页数：6

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