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

Table 4

The parameter estimates (𝜽_𝑠) (𝜎² = 1.50², 𝛿_ns = 32.87%).

𝑡	𝑎1	𝑎2	𝑏2	𝑐1	𝑐2	𝑐3	𝛿 (%)
100	−1.37143	0.79561	1.93906	0.81731	0.49688	0.16665	12.66088
200	−1.36256	0.77335	1.88773	0.89403	0.50353	0.17365	9.26624
500	−1.35374	0.76009	1.77500	1.00710	0.50417	0.18108	3.83703
1000	−1.35074	0.75537	1.72205	1.01710	0.50372	0.18381	1.90836
2000	−1.34587	0.74895	1.71204	0.97678	0.50296	0.20424	1.57452
3000	−1.34448	0.74649	1.69603	0.97053	0.49834	0.20990	1.39744
True values	−1.35000	0.75000	1.68000	1.00000	0.50000	0.20000