DocumentCode :
404494
Title :
Two-dimensional analysis of a gradient method in function space optimal control algorithm
Author :
Roberts, P.D.
Author_Institution :
Control Eng. Res. Centre, City Univ., London, UK
Volume :
2
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
1212
Abstract :
Non-linear optimal control problems often require solution using iterative procedures and, hence, they fall naturally in the realm of 2D systems where the two dimensions are response time horizon and iteration index, respectively. The paper employs 2D systems theory, in the form of unit memory repetitive process techniques, to analyse local stability behaviour of a gradient method in function space algorithm, for solving continuous non-linear dynamic optimal control problems. It is shown that 2D systems theory can be usefully applied to analyse the properties of the algorithm producing a novel local stability condition.
Keywords :
control system analysis; gradient methods; nonlinear control systems; optimal control; 2D systems theory; dynamic control problems; function space optimal control algorithm; gradient method; nonlinear control problems; unit memory repetitive process techniques; Algorithm design and analysis; Control engineering; Convergence; Gradient methods; Iterative algorithms; Iterative methods; Nonlinear control systems; Optimal control; Performance analysis; Stability analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1272773
Filename :
1272773
Link To Document :
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