Recursive Least-Squares Estimation for Hammerstein Nonlinear Systems with Nonuniform Sampling

Table 1

The parameter estimates and their errors (𝜎²=2.00²).

𝑘	𝛼1	𝛼2	𝛽1	𝛽2	𝛽3	𝛽4	𝛾1	𝛾2	𝛾3	δ (%)
100	−0.03122	−0.05592	0.02344	0.39192	−0.08169	0.14407	1.52981	0.68962	0.02254	73.36523
500	−0.53614	0.31821	−0.43136	0.63245	−0.30871	0.53689	1.30985	0.69341	0.10358	26.81256
1000	−0.55071	0.44816	−0.41426	0.78764	−0.24332	0.62087	1.12565	0.56690	0.22360	12.86475
2000	−0.57852	0.42159	−0.43335	0.71714	−0.22310	0.63026	1.04567	0.49863	0.23534	8.87717
3000	−0.60057	0.39569	−0.44560	0.68205	−0.23745	0.60417	1.09320	0.49337	0.20626	10.44562
4000	−0.61945	0.41573	−0.44904	0.68292	−0.24136	0.60799	1.03387	0.50662	0.24914	7.82199
5000	−0.66253	0.42857	−0.49385	0.68309	−0.26702	0.62299	1.00550	0.50873	0.25535	5.03493
6000	−0.67482	0.46019	−0.52100	0.71556	−0.26552	0.64442	0.99935	0.53599	0.26184	2.87761
True values	−0.68000	0.47241	−0.52674	0.73948	−0.25070	0.66221	1.00000	0.50000	0.25000