Nondegenerate necessary conditions for optimal impulsive control problems with state constraints

Author

Arutyunov, Aram ; Karamzin, Dmitri ; Pereira, Fernando

Author_Institution

Differential Equations & Functional Anal. Dept., People´´s Friendship Univ. of Russia, Moscow, Russia

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

233

Abstract

A free time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered in this article. After presenting an appropriate solution concept, necessary conditions of optimality in the form a Maximum Principle are stated. An essential feature of these conditions is that they do not degenerate, i.e., they remain informative even for abnormal control processes. These conditions are derived by using a penalty function method.

Keywords

constraint theory; maximum principle; optimisation; abnormal control processes; equality constraints; inequality constraints; maximum principle form; nondegenerate necessary conditions; optimal impulsive control problems; optimisation; penalty function method; state constraints; Calculus; Constraint optimization; Control systems; Cybernetics; Differential equations; Functional analysis; Mathematics; Optimal control; Process control; Robots;

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.2003.1272566

Filename

1272566