Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach

Table 5

Comparison of proposed results against true values of INCAR model for 30 dB SNR.

μ	Method	Design parameters								MSE
		𝑝1	𝑝2	𝑎1	𝑎2	𝑎3	𝑞2𝑎1	𝑞2𝑎2	𝑞2𝑎3
(10^−04, 10^−08)	VLMS	1.353089	−0.745850	0.939847	0.577771	−0.222600	1.428070	1.095959	−0.399576	1.79𝐸−02
	KLMS	1.355430	−0.739217	0.694061	0.493618	0.180732	1.425650	0.558743	0.272328	9.41𝐸−02
	FLMS1	1.349448	−0.750309	0.998908	0.499814	−0.199658	1.679808	0.840671	−0.336060	2.79𝐸−07
	FLMS2	1.349481	−0.750319	0.999085	0.499812	−0.199776	1.680022	0.840677	−0.336151	2.22𝐸−07
(10^−03, 10^−05)	VLMS	1.347530	−0.747896	1.023045	0.527512	−0.177532	1.591528	0.921393	−0.372951	2.20𝐸−03
	KLMS	1.351936	−0.745468	0.941774	0.405908	−0.002987	1.483573	0.737265	−0.011737	2.57𝐸−02
	FLMS1	1.347141	−0.749222	1.002343	0.501873	−0.200487	1.679787	0.840078	−0.337043	2.39𝐸−06
	FLMS2	1.347230	−0.749253	1.002398	0.501947	−0.200409	1.679837	0.840063	−0.337117	2.40𝐸−06
True values		1.350000	−0.750000	1.000000	0.500000	−0.200000	1.680000	0.840000	−0.336000