计算机科学
非线性系统
最优控制
控制(管理)
控制理论(社会学)
数学优化
数学
控制器(灌溉)
应用数学
模型预测控制
作者
Qun Lin,Ryan Loxton,Kok Lay Teo
出处
期刊:Journal of Industrial and Management Optimization
[American Institute of Mathematical Sciences]
日期:2013-10-01
卷期号:10 (1): 275-309
被引量:179
标识
DOI:10.3934/jimo.2014.10.275
摘要
The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research.
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