A New Spectral Method for the Nonlinear Optimal Control Systems

被引：0
|
作者：
Chen Xuesong [1 ]
Li Xingke [1 ]
Zhang Lili [1 ]
Cai Shuting [2 ]
机构：
[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
基金：
中国国家自然科学基金;
关键词：
Generalized Hamilton-Jacobi-Bellman equation; nonlinear optimal control; Galerkin approximation; Chebyshev polynomials; OPTIMAL TRACKING CONTROL; ITERATION; SCHEME;
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：
A new spectral method based on Galerkin approximation solutions of the nonlinear optimal control systems is proposed in this paper. Galerkin approximation with Chebyshev polynomials (GACP) is firstly used to solve the generalized Hamilton-Jacobi-Bellman (GHJB) equation for the nonlinear optimal control systems. The proposed GACP method employs some Chebyshev global polynomials as the trial functions for discretization of GHJB equation on a well-defined region of attraction. A stable optimal solution of a nonlinear control system is finally obtained. Numerical example shows that the proposed method can efficiently solve the nonlinear optimal control problem and therefore is promising.
引用
收藏
页码：2495 / 2500
页数：6
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