TY - JOUR
T1 - Closed-loop parameter identification of second-order non-linear systems
T2 - A distributional approach using delayed reference signals
AU - Miranda-Colorado, Roger
N1 - Publisher Copyright:
© The Institution of Engineering and Technology 2018.
PY - 2019/2/12
Y1 - 2019/2/12
N2 - This work presents a closed-loop parameter identification algorithm for a class of second-order non-linear systems affected by constant disturbances, quantisation, and state estimation errors. The proposed scheme permits obtaining a linear parameterisation of the non-linear system by developing a simplified procedure that allows using the distributional framework approach straightforwardly. The parametrisation stage requires signals with known delays. These delays are introduced to the system through the reference signal. Then, the linear parametrisation is used by a least-squares (LS) algorithm and a state estimator to generate the estimated values of the system parameters and the constant disturbance. The proposed algorithm is compared to a standard off-line LS algorithm in numerical simulations. Besides, the effectiveness and robustness of the proposed methodology are verified using a Monte Carlo simulation by considering that the system's output is corrupted by white noise. The results indicate that the proposed parameter identification scheme outperforms the LS algorithm, but without requiring any pre-processing stage.
AB - This work presents a closed-loop parameter identification algorithm for a class of second-order non-linear systems affected by constant disturbances, quantisation, and state estimation errors. The proposed scheme permits obtaining a linear parameterisation of the non-linear system by developing a simplified procedure that allows using the distributional framework approach straightforwardly. The parametrisation stage requires signals with known delays. These delays are introduced to the system through the reference signal. Then, the linear parametrisation is used by a least-squares (LS) algorithm and a state estimator to generate the estimated values of the system parameters and the constant disturbance. The proposed algorithm is compared to a standard off-line LS algorithm in numerical simulations. Besides, the effectiveness and robustness of the proposed methodology are verified using a Monte Carlo simulation by considering that the system's output is corrupted by white noise. The results indicate that the proposed parameter identification scheme outperforms the LS algorithm, but without requiring any pre-processing stage.
UR - http://www.scopus.com/inward/record.url?scp=85061324335&partnerID=8YFLogxK
U2 - 10.1049/iet-cta.2018.5457
DO - 10.1049/iet-cta.2018.5457
M3 - Artículo
SN - 1751-8644
VL - 13
SP - 411
EP - 421
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 3
ER -