New Improved Fractional Order Differentiator Models Based on Optimized Digital Differentiators

Table 1

Comparative results for approximating 3rd order differentiator by different evolutionary optimization algorithms.

Evolutionary algorithm used	Number of populations used * Number of generations involved
	50∗50			100∗100			200∗200
	Mean	Median	Standard; deviation	Mean	Median	Standard; deviation	Mean	Median	Standard; deviation
GA	0.484438	0.280166	0.571391	0.174667	0.120752	0.176199	0.0887101	0.05331309	0.108299
PSO	0.210176	0.107856	0.369102	0.164112	0.0697475	0.281163	0.0906867	0.0293708	0.30069
PSO-GA hybrid	0.915405	0.1478565	0.737526	0.230096	0.069402	0.131617	0.0874599	0.02937085	0.0400587