New parameter identification method for the fractional order, state space model of heat transfer process

Abstract

In the paper parameter identification problem for model of heat transfer process is considered. The system under consideration is described by fractional order, state equation using Caputo operator. The parameters of the model are identified via optimization of the MSE cost function, describing the difference between step responses of real experimental plant and tested model. The proposed by authors optimization method consists in associating PSO and simplex algorithms. Results of numerical tests point that the proposed method assures good accuracy with short duration of calculations.