A hybrid genetic/interval algorithm for semi-infinite optimization

Author

Bianco, Corrado Guarino Lo ; Piazzi, Aurelio

Author_Institution

Dept. of Comput. Eng., Parma Univ., Italy

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2136

Abstract

This paper proposes a hybrid algorithm for solving constrained semi-infinite optimization problems. It is based on a partially elitistic genetic algorithm which uses an interval procedure to compute penalty terms in constructing the fitness function. Due to the deterministic nature of the interval procedure, which globally converges with certainty, a robust overall algorithm is obtained. This hybrid algorithm is applied, reporting computational results, to the optimal PID controller design for H₂ minimax control of an uncertain plant

Keywords

H^∞ control; control system synthesis; convergence; genetic algorithms; maximum principle; minimax techniques; three-term control; uncertain systems; H₂ minimax control; constrained semi-infinite optimization problems; fitness function; global convergence; hybrid genetic/interval algorithm; optimal PID controller design; partially elitistic genetic algorithm; uncertain plant; Algorithm design and analysis; Constraint optimization; Design optimization; Genetic algorithms; Minimax techniques; Multidimensional systems; Optimal control; Robustness; Strain control; Three-term control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572927

Filename

572927