Successive approximation procedure of optimal tracking control for nonlinear similar composite systems

被引：12
作者：
Tang, Gong-You [1 ]
Sun, Liang [1 ]
Li, Chao [1 ]
Fan, Ming-Qu [1 ]
机构：
[1] Ocean Univ China, Coll Informat Sci & Engn, Qingdao 266100, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlinear systems; Composite systems; Optimal control; Tracking control; Successive approximation approach; DECENTRALIZED ROBUST-CONTROL; LARGE-SCALE SYSTEMS; FEEDBACK; DESIGN;
D O I：
10.1016/j.na.2008.01.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The optimal tracking control (OTC) problem for a class of affine nonlinear composite systems with similar structure is considered. By using a modeling technique, the nonlinear similar composite system is first transformed into some quasi-decoupled subsystems. Then the high-order, strongly coupled, nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupled TPBV problems through a successive approximation procedure. The obtained OTC law consists of ail accurate linear term and a nonlinear compensation term which is the limit of the adjoint vector sequence. A suboptimal tracking control law is obtained by truncating a finite iterative result of the adjoint vector sequence as its nonlinear compensation term. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：631 / 641
页数：11
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