Research Article
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 | |
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