Order Reduction of Linear Time Invariant Systems Using Genetic Algorithm

Abstract

This paper discusses about order reduction of linear time invariant (LTI) systems based on error minimization by Genetic algorithm. The coefficients of the state space modelmatrices of reduced dimensions are obtained by the proposed method. The reduction procedure is simple and computer oriented. An example system is considered to show the efficacy of the proposed method. The step responses of the higher order system and its models, and validation parameters areused for performance comparison. The results obtained confirm the superiority of the proposed technique.