陈飙松

个人信息Personal Information

研究员

博士生导师

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:力学与航空航天学院

学科:计算力学. 工程力学

办公地点:综合实验1号楼

电子邮箱:chenbs@dlut.edu.cn

扫描关注

论文成果

当前位置: 中文主页 >> 科学研究 >> 论文成果

A symplectic local pseudospectral method for solving nonlinear state-delayed optimal control problems with inequality constraints

点击次数:

论文类型:期刊论文

第一作者:Wang, Xinwei

通讯作者:Peng, HJ (reprint author), Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.

合写作者:Peng, Haijun,Zhang, Sheng,Chen, Biaosong,Zhong, Wanxie

发表时间:2018-04-01

发表刊物:INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录刊物:SCIE、EI

卷号:28

期号:6

页面范围:2097-2120

ISSN号:1049-8923

关键字:inequality constraints; nonlinear optimal control; psuedospectral method; quasi-linearization; state-delayed system; symplectic; the dual variational principle

摘要:In this paper, a symplectic local pseudospectral (PS) method for solving nonlinear state-delayed optimal control problems with inequality constraints is proposed. We first convert the original nonlinear problem into a sequence of linear quadratic optimal control problems using quasi-linearization techniques. Then, based on local Legendre-Gauss-Lobatto PS methods and the dual variational principle, a PS method to solve these converted linear quadratic constrained optimal control problems is developed. The developed method transforms the converted problems into a coupling of a system of linear algebraic equations and a linear complementarity problem. The coefficient matrix involved is sparse and symmetric due to the benefit of the dual variational principle. Converged solutions can be obtained with few iterations because of the local PS method and quasi-linearization techniques are used. The proposed method can be applied to problems with fixed terminal states or free terminal states, and the boundary conditions and constraints are strictly satisfied. Numerical simulations show that the developed method is highly efficient and accurate.