An Efficient Chebyshev Algorithm for the Solution of Optimal Control Problems

被引：12
|
作者：
Ma, Heping [1 ]
Qin, Tinghua [1 ]
Zhang, Wen [1 ]
机构：
[1] Shanghai Univ, Dept Math, Coll Sci, Shanghai 200444, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Efficient Chebyshev algorithm; nonlinear programming; optimal control; pseudospectral method; SPECTRAL VISCOSITY METHOD; TRAJECTORY OPTIMIZATION; PSEUDOSPECTRAL METHOD; LEGENDRE METHOD; COMPUTATION;
D O I：
10.1109/TAC.2010.2096570
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we derive an efficient Chebyshev algorithm for solving optimal control problems. The Chebyshev expansions are employed to approximate both the control and the state functions. The discretizing process and the related techniques are unique compared to existing methods. The optimal control problems are transformed into the resulting mathematical programming problems. Theoretical analysis is given to support the method. Further numerical examples and comparisons are presented to illustrate the efficiency of the method.
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页码：675 / 680
页数：7
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