Optimization of Integer Order Integrators for Deriving Improved Models of Their Fractional Counterparts

Table 4

Statistical test for comparison of proposed PSO and GA techniques for approximations of 2nd and 3rd order digital integrators.

	Genetic algorithm			Modified PSO algorithm
Approximating 2nd order digital integrator for comparing PSO and GA
𝑁𝑝∗𝑁𝑔	50∗50	100∗100	200∗200	50∗50	100∗100	200∗200
Mean	0.915405	0.230096	0.0874599	0.614370	0.201256	0.0936231
Median	0.482815	0.194402	0.075695	0.491575	0.114377	0.0488172
Standard deviation	0.737526	0.131617	0.0400587	0.43579	0.137471	0.042671
Approximating 3rd order digital integrator for comparing PSO and GA
𝑁𝑝∗𝑁𝑔	50∗50	100∗100	200∗200	50∗50	100∗100	200∗200
Mean	0.915406	0.230096	0.0874599	0.633554	0.221398	0.0969881
Median	0.1478565	0.069402	0.02937085	0.1801123	0.1207528	0.0861992
Standard deviation	0.737526	0.131617	0.0400587	0.491451	0.152073	0.0530145