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

Table 4

Comparison of proposed results against true values of INCAR model for 3 dB SNR.

μ	Method	Design parameters								MSE
		𝑝1	𝑝2	𝑎1	𝑎2	𝑎3	𝑞2𝑎1	𝑞2𝑎2	𝑞2𝑎3
(10^−04, 10^−08)	VLMS	1.349988	−0.749965	1.004847	0.536095	0.187753	1.244750	1.281211	0.230035	4.96𝐸−02
	KLMS	1.354804	−0.739470	1.021873	0.808820	−0.040308	0.858857	1.095944	0.934113	1.56𝐸−01
	FLMS1	1.340508	−0.735628	1.003795	0.503585	0.206571	1.684274	0.845499	0.346739	6.64𝐸−05
	FLMS2	1.340415	−0.735617	1.003511	0.503718	0.207224	1.683801	0.845381	0.347265	6.84𝐸−05
(10^−03, 10^−05)	VLMS	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
	KLMS	1.354922	−0.759970	1.011317	0.632627	0.038110	1.601097	0.584400	0.668535	3.93𝐸−02
	FLMS1	1.351284	−0.725432	1.008120	0.504721	0.201932	1.694754	0.805207	0.332677	2.67𝐸−04
	FLMS2	1.351821	−0.726599	1.015656	0.504366	0.198380	1.696545	0.805365	0.331465	2.89𝐸−04
True values		1.350000	−0.750000	1.000000	0.500000	0.200000	1.680000	0.840000	0.33600