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
相关论文
共 50 条
  • [1] A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval
    Masoumnezhad, Mojtaba
    Saeedi, Mohammadhossein
    Yu, Haijun
    Nik, Hassan Saberi
    AUTOMATIKA, 2020, 61 (03) : 461 - 474
  • [2] A Chebyshev spectral method for the solution of nonlinear optimal control problems
    Elnagar, GN
    Razzaghi, M
    APPLIED MATHEMATICAL MODELLING, 1997, 21 (05) : 255 - 260
  • [3] A New Optimal Control Method for Discrete-Time Nonlinear Systems with Approximation Error
    Wei, Qinglai
    Liu, Derong
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 185 - 190
  • [4] A New Optimal Control with Adjustable Gains for Nonlinear Systems
    Do Xuan Phu
    2020 THE 3RD INTERNATIONAL CONFERENCE ON INTELLIGENT AUTONOMOUS SYSTEMS (ICOIAS'2020), 2020, : 117 - 121
  • [5] A new method for control of nonlinear networked systems
    Rahmani, Behrooz
    Markazi, Amir H. D.
    APPLIED SOFT COMPUTING, 2016, 45 : 197 - 206
  • [6] Constrained optimization and control of nonlinear systems: New results in optimal control
    Lyashevskiy, S
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 541 - 546
  • [7] OPTIMAL CONTROL OF NONLINEAR POWER-SYSTEMS BY AN IMBEDDING METHOD
    JAMSHIDI, M
    AUTOMATICA, 1975, 11 (06) : 633 - 636
  • [8] Optimal Control of Nonlinear Systems Using the Homotopy Perturbation Method
    Jajarmi, Amin
    Ramezanpour, Hamidreza
    Sargolzaei, Arman
    Shafaei, Pouyan
    2010 INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT (CCCM2010), VOL IV, 2010, : 668 - 671
  • [9] Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method
    Marzban, Hamid Reza
    Nezami, Atiyeh
    CHAOS SOLITONS & FRACTALS, 2022, 162
  • [10] OPTIMAL CONTROL IN NONLINEAR SYSTEMS
    DASARATHY, BV
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (06) : 690 - +
12345