Two-Dimensional analysis of an iterative nonlinear optimal control algorithm

被引：44

作者：

Roberts, PD ^{[1
]}

机构：

[1] City Univ London, Sch Engn, Control Engn Res Ctr, London EC1V 0HB, England

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2002年 / 49卷 / 06期

关键词：

2-D systems; convergence; optimal control; stability; unit memory repetitive processes;

D O I：

10.1109/TCSI.2002.1010044

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Nonlinear optimal control problems usually require solutions using iterative procedures and, hence, they fail naturally in the realm of 2-D systems where the two dimensions are response time horizon and Iteration index, respectively. The paper uses this observation to employ 2-D systems theory, in the form of unit memory repetitive process techniques, to investigate optimality, local stability, and global convergence behavior of an algorithm, based on Integrated-system optimization and parameter estimation, for solving continuous nonlinear dynamic optimal control problems. It is shown that 2-D systems theory can be usefully applied to analyze the properties of Iterative procedures for solving these problems.

引用

页码：872 / 878

页数：7

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