Journal
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
Volume 14, Issue 3, Pages 931-940Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TII.2017.2734686
Keywords
Advanced learning algorithms; improved error correction (IErrCor); nonlinear system modeling; radial basis function (RBF) networks; wastewater treatment process
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Funding
- National Natural Science Foundation of China [61533002]
- National Science Centre, Krakow, Poland [2015/17/B/ST6/01880]
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Radial basis function (RBF) networks, because of their universal approximation ability, have been widely applied to industrial process modeling. In this study, an Improved ErrCor (IErrCor) algorithm-an extension of error correction (ErrCor) algorithm-is proposed, in which compact structure and satisfactory generalization ability can be obtained with only one learning try. First, a second-order-based constructive mechanism guarantees the structure compactness and computational efficiency. Second, different from other algorithms that start with random or constant parameters, optimal initial parameters accelerate the convergence process and improve the convergence performance, making the IErrCor RBF network more stable. Convergence analysis is given to demonstrate and prove the reasonability and effectiveness of the proposed algorithm. Finally, the IErrCor algorithm has been evaluated and compared with several popular advanced learning algorithms such as support vector machine (SVM), extreme learning machine (ELM), and original ErrCor algorithm through a series of benchmark experiments and then been applied to effluent water quality prediction in wastewater treatment process. All the simulation results reveal the outperformance and potentiality of IErrCor RBF network in industrial applications.
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