Aircraft Control Parameter Estimation Using Self-Adaptive Teaching-Learning-Based Optimization with an Acceptance Probability

Table 4

Best, worst, average, standard deviation, and Friedman test of the RMSE at 50,000 function evaluations of 20 individual runs, with and without added noise

Algorithms	Without noise					Noise 5%					Noise 10%
	Worst	Best	Mean	Std	FR	Worst	Best	Mean	Std	FR	Worst	Best	Mean	Std	FR
ALO	9.0037	0.1529	2.7785	3.3000	8.95	10.2319	0.2295	1.7926	2.7769	7.8	9.0889	0.4015	1.1421	2.1683	5.15
DA	25.1420	0.2640	10.0351	6.6882	14.45	28.0098	0.3375	11.9031	8.3283	14.45	16.8180	0.4513	5.9119	4.8094	13.05
GOA	28.0936	0.9277	18.0601	6.7818	16.85	28.9044	0.8945	20.7342	7.0532	17.2	26.8451	9.1712	20.9930	5.5621	17.35
GWO	1.2739	0.1994	0.3928	0.3098	5.6	1.0688	0.2304	0.4032	0.2196	5.2	0.8363	0.4266	0.5077	0.1188	5.3
MFO	9.2415	0.1832	2.6290	2.7619	9.55	4.6958	0.2581	1.6013	1.5389	8.8	9.4441	0.4307	1.5822	2.1702	8.4
MVO	29.4382	5.4741	17.8161	6.6723	16.6	25.0409	1.6569	14.0516	6.9486	16.3	29.7928	9.0117	16.8057	5.0023	16.8
SCA	8.8118	0.2209	1.4037	1.9144	8.9	3.1936	0.3810	1.4519	0.8058	10.4	2.9651	0.5678	1.3645	0.7551	10.7
SSA	0.8091	0.3462	0.6309	0.1288	7.75	0.7704	0.5509	0.6597	0.0601	7.75	0.9014	0.5689	0.7121	0.0786	8.4
WCA	0.3967	0.0119	0.1100	0.0960	2.9	0.3726	0.1909	0.2217	0.0470	2.65	0.5814	0.3943	0.4338	0.0523	3.1
WOA	24.2830	0.2409	7.9811	8.2753	11.95	24.2636	0.3772	8.9912	7.3915	14.15	20.2952	0.5557	7.1401	6.0350	13.8
MBO	22.7703	0.4050	3.3462	5.5273	10.85	15.0105	0.6030	2.0042	3.1841	10.5	26.3406	0.5751	6.9586	8.7916	13
SMA	11.2174	0.3254	2.1315	2.3528	10.8	13.6034	0.4805	2.4623	3.1702	11.3	25.2341	0.7177	3.3992	6.2542	11.1
EHO	4.0977	0.7582	1.8700	0.7765	11.25	3.4694	0.4009	1.3911	0.7981	10.55	1.1310	0.9659	1.0707	0.0423	10.85
ABC	16.4939	2.3997	7.5099	4.2127	14.6	15.2516	0.9968	5.5834	4.6919	13.5	8.6376	1.0979	3.9645	2.6187	13.35
SaDE	0.1521	0.0028	0.0488	0.0362	2.25	0.2123	0.1919	0.1975	0.0060	2.4	0.4879	0.3977	0.4253	0.0222	2.95
TLBO	4.3630	0.1490	1.7028	1.2234	10.15	6.2615	0.3263	1.6474	1.4422	10.4	3.0237	0.4984	1.3931	0.7821	10.5
ITLBO	1.5246	0.0174	0.4906	0.3604	6.35	2.5530	0.2082	0.5442	0.5402	6.45	1.1887	0.4174	0.5755	0.1820	6.05
SaTLBO-AP	0.0369	0.0024	0.0195	0.0083	1.25	0.1968	0.1899	0.1914	0.0017	1.2	0.4043	0.3960	0.3994	0.0016	1.15

FR is the Friedman test score; lower is better.