Research Article

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

Table 1

Parameter estimation of Lorenz's system using trajectory sensitivity method including master-slave coupling with noise in the measurements.

Parameter Initial value Deviation (%) Estimated value True value Error (%)

𝜎 4 . 6 0 5 4 % 1 0 . 0 3 4 1 0 . 0 0 . 3 4
𝑟 9 . 2 0 5 4 % 1 9 . 9 6 2 0 . 0 0 . 2
𝑏 4 . 1 0 + 5 4 % 2 . 6 6 2 . 6 6 0 . 0 0
𝑧 1 𝑜 1 . 9 0 + 5 % 2 . 0 7 2 . 0 0 3 . 5
𝑧 2 𝑜 2 . 8 5 + 5 % 2 . 9 4 3 . 0 0 2 . 0
𝑧 3 𝑜 3 . 2 2 5 4 % 6 . 9 6 7 . 0 0 0 . 5 7