A method that uses input/output measurements is developed for the estimation of the coefficients of stochastic Time-varying AutoRegressive Moving Average with eXogeneous imputs (TARMAX) models. The TARMAX coefficients are expressed as linear combinations of a set of pre-selected functions. The model coefficients estimation method is fully based on linear operations, does not require initial guess values and is suitable for micro-computer implementation. The good performance of the estimation method is verified through numerical examples. A TARMAX model is also used to capture the dynamics of a detailed highly nonlinear model of an automobile hydraulic active suspension system. The TARMAX model is used to relate a desired force provided by a corner processor to the actual force generated by the hydraulic actuator. The TARMAX model is shown to provide good signal prediction ability.
Skip Nav Destination
Article navigation
September 2002
Technical Briefs
Identification of Armax Models With Time Dependent Coefficients
R. Ben Mrad, Associate Professor,
R. Ben Mrad, Associate Professor
Department of Mechanical & Industrial Engineering, 5 King’s College Road, University of Toronto, Toronto, Ontario, Canada M5S 3G8
Search for other works by this author on:
E. Farag, Graduate Student Research Assistant
E. Farag, Graduate Student Research Assistant
Department of Mechanical & Industrial Engineering, 5 King’s College Road, University of Toronto, Toronto, Ontario, Canada M5S 3G8
Search for other works by this author on:
R. Ben Mrad, Associate Professor
Department of Mechanical & Industrial Engineering, 5 King’s College Road, University of Toronto, Toronto, Ontario, Canada M5S 3G8
E. Farag, Graduate Student Research Assistant
Department of Mechanical & Industrial Engineering, 5 King’s College Road, University of Toronto, Toronto, Ontario, Canada M5S 3G8
Contributed by the Dynamic Systems and Control Division of the THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Dynamics Systems and Control Division June 2000. Associate Editor: S. Fassois
J. Dyn. Sys., Meas., Control. Sep 2002, 124(3): 464-467 (4 pages)
Published Online: July 23, 2002
Article history
Received:
June 1, 2000
Online:
July 23, 2002
Citation
Mrad, R. B., and Farag, E. (July 23, 2002). "Identification of Armax Models With Time Dependent Coefficients." ASME. J. Dyn. Sys., Meas., Control. September 2002; 124(3): 464–467. https://doi.org/10.1115/1.1485097
Download citation file:
Get Email Alerts
Cited By
Hierarchical Iterative Learning Control for a Class of Distributed Hierarchical Systems
J. Dyn. Sys., Meas., Control
Synthesizing Negative-imaginary Systems with Closed-loop -performance via Static Output Feedback Control
J. Dyn. Sys., Meas., Control
Data-Driven Discovery of Lithium-Ion Battery State of Charge Dynamics
J. Dyn. Sys., Meas., Control (January 2024)
Related Articles
Nonlinear Parameters and State Estimation for Adaptive Nonlinear Model Predictive Control Design
J. Dyn. Sys., Meas., Control (April,2016)
A Technique for Estimating Linear Parameters Using Nonlinear Restoring Force Extraction in the Absence of an Input Measurement
J. Vib. Acoust (October,2005)
On Validation of Extended State Observer Through Analysis and Experimentation
J. Dyn. Sys., Meas., Control (March,2012)
Parametric Identification of Nonlinear Vibration Systems Via Polynomial Chirplet Transform
J. Vib. Acoust (October,2016)
Related Proceedings Papers
Related Chapters
A New Algorithm for Parameter Estimation of LFM Signal
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)
K-Models Clustering, a Generalization of K-Means Clustering
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20
ML-DC Algorithm of Parameter Estimation for Gaussian Mixture Autoregressive Model
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)