Mathematical Problems in Engineering

Research Article

Trajectory Sensitivity Method and Master-Slave Synchronization to Estimate Parameters of Nonlinear Systems

Table 2

Parameter estimation of Chua's system using trajectory sensitivity method including master-slave coupling with noise in the measurements.
Parameter Initial value Deviation Estimated value True value Error (%)
𝛼 2 . 3 0 2 7 − 6 5 % 6 . 5 4 3 5 6 . 5 7 9 2 0 . 5 4
𝛽 3 . 8 1 5 8 − 6 5 % 1 0 . 8 9 0 6 1 0 . 9 0 2 4 0 . 1 1
𝛾 − 0 . 0 1 5 6 − 6 5 % − 0 . 0 4 4 4 − 0 . 0 4 4 5 0 . 2 7
𝑎 − 0 . 4 1 3 7 − 6 5 % − 1 . 1 8 0 7 − 1 . 1 8 2 0 0 . 1 2
𝑏 − 0 . 2 2 8 3 − 6 5 % − 0 . 6 5 3 9 − 0 . 6 5 2 4 0 . 2 4
𝑥 0 0 . 0 5 2 5 − 6 5 % 0 . 1 5 4 2 0 . 1 5 0 0 2 . 8 3
𝑦 0 0 . 3 1 5 0 − 6 5 % 0 . 9 0 0 9 0 . 9 0 0 0 0 . 1 0
𝑧 0 0 . 2 8 0 0 − 6 5 % 0 . 8 1 8 5 0 . 8 0 0 0 2 . 3 1