Title :
Hybrid differential evolution method for the mixed H2/H∞ robust control problem under pole assignment
Author :
Neumann, D. ; de Araujo, H.X.
Author_Institution :
Pontifical Catholic University of Paraná - PUCPR - R. Imaculada Conceição, 1155, 80.215-901 - Curitiba, PR - Brazil. donald@neumann.com.br
Abstract :
This paper is concerned with the mixed H2/H∞control problem combined with robust pole placement in linear matrix inequality (LMI) regions. Based on Differential Evolution algorithms (DEs), Salomon´s Evolutionary Gradient Search method (EGS) and LMIs, a hybrid algorithm is presented for numerical computation of a robus fixed-order, static or dynamic, output feedback controller. This approach does not require that all speciacations are enforced by a single closed-loop Lyapunov function. This allows to reduce the conservatism of the usual existin methods. This approach can be used for synthesis of reduced or full order controllers. Examples borrowed from the literature are discussed to validate this approach.
Keywords :
LMI; differential evolution; evolutionary gradient search; robust control; Control system synthesis; Control systems; Evolutionary computation; Genetic algorithms; Linear matrix inequalities; Lyapunov method; Output feedback; Robust control; Search methods; State feedback; LMI; differential evolution; evolutionary gradient search; robust control;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Conference_Location :
Seville, Spain
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582341