system order reduction using ga for unit impulse input and a comparative study using ise & ire
In this paper, the authors present an algorithm in which the application of Genetic algorithm has been shown in the order reduction of linear time invariant dynamic systems. The reduction algorithm is based on minimization of the integral square error by Genetic algorithm pertaining to a unit impulse input. The algorithm is simple, rugged and computer oriented. It is shown that the algorithm has several advantages, e.g. the reduced order models retain the steady-state value and stability of the original system. Two numerical examples are also given to illustrate the superiority of the proposed algorithm over some existing methods. The comparisons between the proposed and the other well-known existing order reduction techniques have been shown by comparing the ISE and IRE of various reduced order models.
order reduction genetic algorithm integral square error stability impulse response energy