TY - GEN
T1 - A novel method to identify nonlinear dynamic systems
AU - Lee, Ching Hung
AU - Teng, Ching Cheng
N1 - Publisher Copyright:
© 1999 EUCA.
PY - 2015/3/24
Y1 - 2015/3/24
N2 - This paper presents a new method for identifying a nonlinear system using the Hammerstein model. Such model consists of static nonlinear part and linear dynamic part in a cascading structure. The static nonlinear part is modeled by a fuzzy neural network (FNN), and the linear dynamic part is modeled by an auto-regressive moving average (ARMA) model. Based on our approach, a nonlinear dynamical system can be divided into two parts, a nonlinear static function and an ARMA model. Furthermore, a simple learning algorithm is developed for obtaining the parameters of FNN and ARMA model. In addition, the convergence analysis for the cascade model (FNN+ARMA) is also studied by the Lyapunov approach. A simulation result is given to illustrate the effectiveness of the proposed method. Simulation result also demonstrates that this approach is useful for systems with disturbance input.
AB - This paper presents a new method for identifying a nonlinear system using the Hammerstein model. Such model consists of static nonlinear part and linear dynamic part in a cascading structure. The static nonlinear part is modeled by a fuzzy neural network (FNN), and the linear dynamic part is modeled by an auto-regressive moving average (ARMA) model. Based on our approach, a nonlinear dynamical system can be divided into two parts, a nonlinear static function and an ARMA model. Furthermore, a simple learning algorithm is developed for obtaining the parameters of FNN and ARMA model. In addition, the convergence analysis for the cascade model (FNN+ARMA) is also studied by the Lyapunov approach. A simulation result is given to illustrate the effectiveness of the proposed method. Simulation result also demonstrates that this approach is useful for systems with disturbance input.
KW - Fuzzy neural network
KW - Hammerstein model
KW - Identification
KW - Nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=84930599581&partnerID=8YFLogxK
U2 - 10.23919/ecc.1999.7099704
DO - 10.23919/ecc.1999.7099704
M3 - Conference contribution
AN - SCOPUS:84930599581
T3 - European Control Conference, ECC 1999 - Conference Proceedings
SP - 2530
EP - 2535
BT - European Control Conference, ECC 1999 - Conference Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1999 European Control Conference, ECC 1999
Y2 - 31 August 1999 through 3 September 1999
ER -