Abstract
Compared with model approximation for general SISO transfer function models with or without a single constant delay, the approximation problem for SISO transfer function models with multiple delays has received much less attention. In this paper, we attack this problem and thus present a multiple-point step response fitting based approximation method to derive the reduced models. A simple frequency-domain weighted recursive least squares (RLS) algorithm is proposed to determine a set of parameters so that the reduced models can approximate the original models by minimizing the defined frequency-domain squared-error between the step responses of the original and the reduced model. Numerical examples have demonstrated that the proposed approximation approach can not only introduce less dynamic approximation error, but also yield zero steady-state error.
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Recommended by Editorial Board member Hamid Reza Karimi under the direction of Editor Myotaeg Lim.
This work was supported by the National Natural Science Foundation of China (61104084, 61004009), the Guangdong Education University-Industry Cooperation Projects (2010B090400410), the Fundamental Research Funds for the Central Universities of China (N090608001, N100408004).
Ping Zhou received his B.S. and M.S. degrees in Control Theory and Engineering from Northeastern University, Shenyang, China, in 2003 and 2006, respectively. His research interests include integrated plant control and systems, decoupling control, and softsensor.
Bo Xiang received his B.S. degree in Industrial Automation from Southwest University of Science and Technolgoy, Mianyang, China, in 1985. His research interests include process control, and industrial automation.
Jun Fu received his Ph.D. degree in Mechanical Engineering from Concordia University, Canada, in 2009. His research interests mainly lie in dynamic optimization, control of hysteretic systems, and robust control of nonlinear systems.
Tian-You Chai received his Ph.D. degree from Northeastern University, Shenyang, China, in 1987. Currently, he is a full professor and director of the State Key Lab. of Synthetical Automation of Process Industries (Northeastern University). His research interests include adaptive control, intelligent decoupling control, integrated plant control and systems, and the development of control technologies with applications to various industrial processes.
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Zhou, P., Xiang, B., Fu, J. et al. Model approximation of multiple delay transfer function models using multiple-point step response fitting. Int. J. Control Autom. Syst. 10, 180–185 (2012). https://doi.org/10.1007/s12555-012-0121-2
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DOI: https://doi.org/10.1007/s12555-012-0121-2