Determine Optimal Adjustable Parameters of The Simple Fractional-Order Systems with The Lowest Pole via Particle Swarm Optimization (PSO) Algorithms

This paper shows a procedure for determine optimal adjustable parameters of simple fractional order systems. In some cases such as: identifying fractional order systems, to obtain adjustable parameters with conventional identifying methods, leads to solve complex nonlinear optimization problems and this is one of challenging problems. Therefore, in this paper with assumption of having input-output data corrupt with noise, by assistance of particle swarmoptimization algorithm and by taking account of the specific model structure of linear combination, so method presents good or acceptance approximation of optimal adjustable parameters of fractional order systems. Because of presence of special conduction in fractional order systems, therefore necessity of fractional order modeling for such are duplex. Finally, by simulating of several proper systems in noisy conditions, we determine optimal parameters that gained results from it shows the effectiveness of this procedure.

Keywords:

Fractional order systems , Adjustable Parameter , System identification , Particle Swarm Optimization (PSO) Algorithms