Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems

Table 2

The parameter estimates (𝜽_𝑠) (𝜎² = 0.50², 𝛿_ns = 10.96%).

𝑡	𝑎1	𝑎2	𝑏2	𝑐1	𝑐2	𝑐3	𝛿 (%)
100	−1.35989	0.76938	1.75670	0.94139	0.49861	0.18862	3.90775
200	−1.35622	0.76001	1.74205	0.96720	0.50101	0.19076	2.81582
500	−1.35239	0.75452	1.70821	1.00256	0.50137	0.19363	1.15783
1000	−1.35034	0.75193	1.69268	1.00570	0.50128	0.19460	0.59233
2000	−1.34844	0.74940	1.69068	0.99224	0.50089	0.20143	0.52605
3000	−1.34776	0.74847	1.68512	0.99012	0.49943	0.20333	0.46851
True values	−1.35000	0.75000	1.68000	1.00000	0.50000	0.20000