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

Table 1

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	1.339192	−0.738613	0.783251	0.722700	0.143211	1.614600	0.948003	0.311984	1.46𝐸−02
	KLMS	1.347467	−0.751995	1.185194	0.341222	0.235790	1.435438	1.067026	0.282885	2.19𝐸−02
	FLMS1	1.350010	−0.749510	0.999882	0.499921	0.200304	1.679315	0.839550	0.336252	1.36𝐸−07
	FLMS2	1.350001	−0.749505	1.000112	0.499909	0.200210	1.679258	0.839549	0.336301	1.44𝐸−07
(10^−03, 10^−05)	VLMS	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
	KLMS	1.353513	−0.746410	1.210424	0.385133	0.139330	1.317242	0.989680	0.541315	3.22𝐸−02
	FLMS1	1.349938	−0.748981	0.997433	0.502193	0.201849	1.676682	0.839442	0.335640	3.41𝐸−06
	FLMS2	1.349940	−0.748991	0.997454	0.502326	0.201821	1.676806	0.839434	0.335511	3.37𝐸−06
True values		1.350000	−0.750000	1.000000	0.500000	0.200000	1.680000	0.840000	0.33600