Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems

Table 1

the recursive parameter estimates and errors by using different algorithms.

Algorithm																			(%)
IV-OMP	1	0.7717	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	87.52
	2	0.7100	0	0	0	0	0	−0.2365	0	0	0	0	0	0	0	0	0	0	88.71
	3	0.824	0	0	0	0	0	−0.2875	0	0	0	0	0	0	0	0.5002	0	0	90.55
	4	1.304	0.7615	0	0	0	0	−0.2439	0	0	0	0	0	0	0	0.0488	0	0	82.65
	5	1.331	0.8617	0	0	0	0.2315	−0.2468	0	0	0	0	0	0	0	−0.0846	0	0	83.87
	6	1.399	0.8219	0	0	0	0.1992	−0.2422	0	0.3025	0	0	0	0	0	−0.2355	0	0	85.66
	7	1.086	0.5736	−1.857	0	0	0.3747	0.0527	0	−0.0982	0	0	0	0	0	0.0080	0	0	40.00
	8	1.126	0.5786	−1.668	0.8567	0	−0.0220	0	0	−0.0314	0	0	0	0	0	0.0172	0	0	9.46
	9	1.124	0.5833	−1.693	0.8531	0	0	0	0	−0.0362	0	0	0	0	0	0.0126	0	0	9.27
	10	1.124	0.5855	−1.686	0.8181	0	0	0	0	−0.0370	0	0	0	0	0	0.0104	0	0	9.02
	11	1.125	0.5732	−1.697	0.8275	0	0	0	0	−0.0531	0	0	0	0	−0.0238	0.0126	0	0	8.58
	12	1.122	0.5754	−1.690	0.8295	0	0	0	0.0303	−0.0550	0	0	0	0	−0.0477	0.0038	0	0	7.54
	13	1.163	0.5926	−1.688	0.8159	0	0	0	0.0864	−0.0610	0	0	0	0.0593	−0.0686	−0.0090	0	0	3.48
	14	1.187	0.5913	−1.682	0.8096	0	0	0	0.0976	−0.0680	0	0	0	0.0858	−0.0756	−0.0016	0	0	2.18
	15	1.196	0.5973	−1.659	0.8035	0	0	0	0.1014	−0.0626	0	0	0	0.0929	−0.0726	0	0	0	2.46
True values		1.20	0.60	−1.70	0.80	0	0	0	0.12	−0.06	0	0	0	0.11	−0.10	0	0	0