X-OVER Parameter Control for GA-optimizer dedicated to Eigenstructure Assignment/LQR designs - Part I - Problem Formulation

Joao V. da Fonseca Neto Celso P. Bottura

To appear at V Brazilian Symposium on Intelligent Automation (V SBAI), Canela, RS, BRAZIL, November, 07-09, 2001


Abstract

The genetic algorithm (GA) initial population or constraints hardness can lead the biased search to be tracked over unfeasible regions of the solution space. An alternative to overcome this undesirable situation is the appliance of adaptive or deterministic technics to adjust some parameters of a GA-optimizer dedicated to eigenstructure assignment via LQR designs. In this work, we propose a method for crossover (X-OVER) operation parameters control based on the population's average fitness and restrictions satisfability as a reference to adjust those parameters, in the sense of guiding the search intelligently into feasible solutions. The proposed method is translated into an algorithm and is accomplished into a multiobjective genetic optimizer decision-making unit. Finally, the proposed adaptive strategy performance is verified into a dynamic systems model. This research results are presented in two papers, this paper concerns with the problem formulation and a second paper concerns with computational simulations and result analysis.


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