Recursive Identification for Fractional Order Hammerstein Model Based on ADELS

Table 3

Comparison of optimization results obtained for the 30-dimensional benchmark functions.

F	JADE		GWO		WOA		ADELS
	Ave	Std	Ave	Std	Ave	Std	Ave	Std
F1	2.55E–22	2.43E–22	5.46E–33	4.78E–33	3.35E–86	2.52E–83	0	0
F2	7.65E–11	5.09E–11	7.26E–20	6.93E–20	2.13E–54	5.88E–52	1.80E–190	0
F3	2.01E–22	1.98E–22	0.4587	0.20	0.086	6.7E–02	0	0
F4	−11684.98	142.47	−6281.5	861.64	−11535.27	1685.05	−12391.83	76.85
F5	1.96E–21	4.00E–21	3.46E–32	7.43E–32	3.12E–85	2.68E–84	0	0
F6	1.01E–15	9.11E–16	1.14E–27	2.34E–27	3.15E–78	7.32E–79	0	0
F7	17.69	2.06	26.67	0.87	27.54	0.33	0.2391	19.20
F8	2.3E–02	0.10	0.94	0.22	0.49	0.28	1.50E–32	5.62E–48
F9	1.78E–17	6.95E–18	3.52E–30	1.63E–29	1.79E–80	8.55E–82	0	0
F10	5.25E–21	5.43E–21	7.65E–33	4.43E–33	2.44E–83	1.12E–80	0	0
F11	3.05E–12	4.89E–12	4.42E–14	4.53E–15	3.73E–15	2.55E–15	1.15E–15	3.63E–15
F12	−675.49	10.04	−476.51	66.40	−870.00	1.02E–12	−870.00	3.61E–13
F13	9.60E–10	4.28E–09	1.4E–03	7.8E–03	5.1E–03	0.0078	0	0
F14	9.11E–12	6.81E–13	3.68E–11	5.30E–12	0	0	0	0
F15	26.51	3.41	2.69	3.38	0	0	0	0