Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICARCV.2010.5707355
Title: Identification and control of nonlinear systems using piecewise affine models
Authors: Lai, C.Y.
Xiang, C. 
Lee, T.H. 
Keywords: Control
Nonlinear systems
Piecewise affine models
System identification
Issue Date: 2010
Source: Lai, C.Y.,Xiang, C.,Lee, T.H. (2010). Identification and control of nonlinear systems using piecewise affine models. 11th International Conference on Control, Automation, Robotics and Vision, ICARCV 2010 : 2259-2265. ScholarBank@NUS Repository. https://doi.org/10.1109/ICARCV.2010.5707355
Abstract: Piecewise affine model is a useful tool for approximating nonlinear systems. In this paper, we first propose a procedure for obtaining the piecewise affine ARX models of nonlinear systems. Two parameters which fully characterize a piecewise affine ARX model, namely the parameters of the locally linear/affine subsystems, as well as the partitions of the regressor space, will be estimated, the former through a least-squares based identification method using multiple models, and the latter using standard procedures such as neural network classifier or support vector machine classifier. Based on the piecewise affine ARX model of the nonlinear system, we then proceed to derive a model-based controller to control the system for reference tracking. Simulation studies show that our algorithm can indeed provide accurate piecewise affine approximation of nonlinear systems, and that the proposed controller provides good tracking performance. ©2010 IEEE.
Source Title: 11th International Conference on Control, Automation, Robotics and Vision, ICARCV 2010
URI: http://scholarbank.nus.edu.sg/handle/10635/51181
ISBN: 9781424478132
DOI: 10.1109/ICARCV.2010.5707355
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