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

Table 1

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

t	𝑎1	𝑎2	𝑐1	𝑐2	𝑐3	𝑏2𝑐1	𝑏2𝑐2	𝑏2𝑐3	𝛿 (%)
100	−1.35989	0.76938	0.94139	0.49861	0.18862	1.69875	0.86164	0.32773	2.59527
200	−1.35622	0.76001	0.96720	0.50101	0.19076	1.67233	0.84941	0.34369	1.43552
500	−1.35239	0.75452	1.00256	0.50137	0.19363	1.66468	0.84394	0.34485	0.74281
1000	−1.35034	0.75193	1.00570	0.50128	0.19460	1.65482	0.85095	0.33765	1.06112
2000	−1.34844	0.74940	0.99224	0.50089	0.20143	1.69169	0.85148	0.33583	0.67584
3000	−1.34776	0.74847	0.99012	0.49943	0.20333	1.68675	0.85321	0.33416	0.68173
True values	−1.35000	0.75000	1.00000	0.50000	0.20000	1.68000	0.84000	0.33600