Smoothing approach for a class of nonsmooth optimal control problems

被引：13
|
作者：
Skandari, M. H. Noori [1 ]
Kamyad, A. V. [2 ]
Effati, S. [2 ]
机构：
[1] Univ Shahrood, Sch Math Sci, Shahrood, Iran
[2] Ferdowsi Univ Mashhad, Sch Math Sci, Mashhad, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 02期
关键词：
Chebyshev pseudo-spectral method; Generalized derivative; Nonlinear programming; Nonsmooth optimal control; NONLINEAR OPTIMAL-CONTROL; PARAMETERIZATION;
D O I：
10.1016/j.apm.2015.05.014
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, we consider a nonsmooth optimal control problem. First we convert this problem into the corresponding smooth optimal control problem using a practical generalized derivative. Next, we utilize the Chebyshev pseudo-spectral method to solve the smooth problem and analyze the feasibility and convergence of the approximations obtained. Finally, we approximate the optimal solutions of some nonsmooth optimal control problems. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：886 / 903
页数：18
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