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|Title:||Data-based identification and control of nonlinear systems via piecewise affine approximation|
piecewise affine models
weighted least squares
|Source:||Lai, C.Y., Xiang, C., Lee, T.H. (2011-12). Data-based identification and control of nonlinear systems via piecewise affine approximation. IEEE Transactions on Neural Networks 22 (12 PART 2) : 2189-2200. ScholarBank@NUS Repository. https://doi.org/10.1109/TNN.2011.2175946|
|Abstract:||The piecewise affine (PWA) model represents an attractive model structure for approximating nonlinear systems. In this paper, a procedure for obtaining the PWA autoregressive exogenous (ARX) (autoregressive systems with exogenous inputs) models of nonlinear systems is proposed. Two key parameters defining a PWARX model, namely, the parameters of locally affine subsystems and the partition of the regressor space, are 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. Having obtained the PWARX model of the nonlinear system, a controller is then derived to control the system for reference tracking. Both simulation and experimental studies show that the proposed algorithm can indeed provide accurate PWA approximation of nonlinear systems, and the designed controller provides good tracking performance. © 2006 IEEE.|
|Source Title:||IEEE Transactions on Neural Networks|
|Appears in Collections:||Staff Publications|
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