Abstract
This chapter contains the discussion on fundamental concepts related to nonlinear model identification. First, linear in parameter model identification techniques are presented. This covers static and dynamic systems. Following that, the idea of developing nonlinear models in the framework of Orhonormal Basis Functions (OBF) is described. In Sect. 3.3, basic theory of neural networks and fuzzy systems are elaborated. In the state of the art designs, one of them is constructed in the structure of the other allowing the development of a transparent model that can be trained with relatively minimal effort. Section 3.4 is dedicated to the discussion of nonlinear system identification using combined version of neural networks and fuzzy systems. Last section of the chapter deals with three different model training algorithms Least squares based, back-propagation and particle swarm optimization.
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References
L, Ljung. (1999). System identification: Theory for the user., Prentice Hall Information Series.
Sderstrm, T., & Stoica, P. (1988). System identification., Prentice Hall International Series in Systems and Control Engineering Englewood Cliffs: Prentice-Hall, Inc.
Nelles, O. (2001). Nonlinear system identification: From classical approaches to neural networks and fuzzy models. Berlin: Springer.
Wahlberg, B. (1991). System identification using Laguerre models. IEEE Transactions on Automatic Control, 36, 551–562.
Brinker, A. C. D. (1995). Meixner-like functions having a rational z-transform. International Journal of Circuit Theory and Applications, 23, 237–246.
Belt, H. J. W. (1997). Orthonormal bases for adaptive filtering. Eindhoven: Technische Universiteit.
Wahlberg, B. (1994). System identification using Kautz models. IEEE Transactions on Automatic Control, 39, 1276–1282.
Heuberger, P. S. C., Van den Hof, P. M. J., & Bosgra, O. H. (1995). A generalized orthonormal basis for linear dynamical systems. IEEE Transactions on Automatic Control, 40, 451–465.
Ninness, B., & Gustafsson, F. (1997). A unifying construction of orthonormal bases for system identification. IEEE Transactions on Automatic Control, 42, 515–521.
Toth, R. (2008, December). Modeling and identification of linear parameter-varying systems, an orthonormal basis function approach. Ph.D. dissertation, Delft University of Technology.
Finn, C. K., Wahlberg, B., & Ydstie, B. E. (1993). Constrained predictive control using orthogonal expansion. Journal of AIChE, 39, 1810–1826.
Patwardhan, S. C., & Shah, S. L. (2005). From data to diagnosis and control using generalized orthonormal basis filters. Part I: Development of state observers. Journal of Process Control, 15, 819–835.
Boyd, S., & Chua, L. (1985). Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Transactions on Circuits and Systems, 32, 1150–1161.
Ogunfunmi, T. (2007, September, 5). Adaptive nonlinear system identification: The Volterra and Wiener model approaches. New York: Springer Science and Business Media.
Seretis, C., & Zafiriou, E. (1997). Nonlinear dynamical system identification using reduced Volterra models with generalised orthonormal basis functions. In Proceedings of the American Control Conference (Vol. 5, pp. 3042–3046).
Parker, R. E., & Tummala, M. (1992). Identification of Volterra systems with a polynomial neural network. In IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP-92 (Vol. 4, pp. 561–564).
Wray, J., & Green, G. (1994). Calculation of the Volterra kernels of non-linear dynamic systems using an artificial neural network. Biological Cybernetics, 71, 187–195.
Marmarelis, V. Z., & Zhao, X. (1997). Volterra models and three-layer perceptrons. IEEE Transactions on Neural Networks, 8, 1421–1433.
Liu, G. P., Kadirkamanathan, V., & Billings, S. A. (1998). On-line identification of nonlinear systems using Volterra polynomial basis function neural networks. Neural Networks, 11, 1645–1657.
Alataris, K., Berger, T., & Marmarelis, V. (2000). A novel network for nonlinear modeling of neural systems with arbitrary point-process inputs. Neural Networks, 13, 255–266.
Back, A. D., & Tsoi, A. C. (1996). Nonlinear system identification using discrete laguerre functions. Journal of Systems Enginnering, 6, 194–270.
Sentoni, G., Agamennoni, O., Desages, A., & Romagnoli, J. (1996). Approximate models for nonlinear process control. Journal of AIChE, 42, 2240–2250.
Balestrino, A., & Caiti, A. (2000). Approximation of Hammerstein/Wiener dynamic models. In Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks, IJCNN 2000 (Vol. 1, pp. 70–74).
Abrahantes Vazquez, M., & Agamennoni, O. E. (2001). Approximate models for nonlinear dynamical systems and their generalization properties. Mathematical and Computer Modelling, 33, 965–986.
Diwanji, V., Godbole, A., & Waghode, N. (2006). Nonlinear model predictive control for thrust tracking of a gas turbine. In IEEE International Conference on Industrial Technology, ICIT 2006 (pp. 3044–3048).
Wiener, N. (1949). Extrapolation, interpolation, and smoothing of stationary time series. New York: MIT and Wiley.
Sbarbaro, D., & Johansen, T. A. (1997). Multiple local Laguerre models for modelling nonlinear dynamic systems of the Wiener class. In IEE Proceedings Control Theory and Applications (Vol. 144, 375–380).
Nelles, O. (1997). Orthonormal basis functions for nonlinear system identification with local linear model trees-LOLIMOT. In IFAC Proceedings Volumes (Vol. 30(11), pp. 639–44).
Oliveira, G. H. C., Campello, R. J. G. B., & Amaral, W. C. (1999). Fuzzy models within orthonormal basis function framework. In IEEE International Fuzzy Systems Conference Proceedings, FUZZ-IEEE ’99 (Vol. 2, pp. 957–962).
Campello, R. J. G. B., & Amaral, W. C. (2002). Takagi-Sugeno fuzzy models within orthonormal basis function framework and their application to process control. In Proceedings of the 2002 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE’02 (pp. 1399–1404).
Campello, R. J. G. B., Von Zuben, F. J., Amaral, W. C., Meleiro, L. A. C., & Maciel Filho, R. (2003). Hierarchical fuzzy models within the framework of orthonormal basis functions and their application to bioprocess control. Chemical Engineering Science, 58, 4259–4270.
Campello, R. J. G. B., Meleiro, L. A. C., & Amaral, W. C. (2004). Control of a bioprocess using orthonormal basis function fuzzy models. In Proceedings of the 2004 IEEE International Conference on Fuzzy Systems (Vol. 2, pp. 801–806).
Medeiros, A. V., Amaral, W. C., & Campello, R. J. G. (2006). GA optimization of generalized OBF TS fuzzy models with global and local estimation approaches. In 2006 IEEE International Conference on Fuzzy Systems (pp. 1835–1842).
Machado, J. B., Amaral, W. C., & Campello, R. J. G. (2007). Design of OBF-TS fuzzy models based on multiple clustering validity criteria. In 19th IEEE International Conference on Tools with Artificial Intelligence, ICTAI 2007 (pp. 336–339).
Alci, M., & Asyali, M. H. (2009). Nonlinear system identification via Laguerre network based fuzzy systems. Fuzzy Sets and Systems, 160, 3518–3529.
Box, G. E. P., & Jenkins, G. M. (1976). Time series forcasting and control (Revised ed.). San Francisco: Holden-Day Inc.
Kramer, M. A. (1991). Nonlinear principal componenet analysis using autoassociative neural networks. AIChE Journal, 37, 233–243.
Ogaji, S., Sampath, S., Singh, R., & Probert, D. (2002). Novel approach for improving power-plant availability using advanced engine diagnostics. Applied Energy, 72, 389–407.
Lu, P. J., Zhang, M. C., Hsu, T. C., & Zhang, J. (2001). An evaluation of engine faults diagnostics using artificial neural networks. Journal of Engineering for Gas Turbines and Power, 123, 340–346.
Bourassa, M. A. J. (1999). Autoassociative neural networks with an application to fault diagnosis of a gas turbine engine (p. 248). Canada: Royal Military College of Canada (Canada).
Cybennko, G. (1989). Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals, and Systems, 2, 303–314.
Funahashi, K. I. (1989). On the approximate realization of continuous mappings by neural networks. Neural Networks, 2, 183–192.
Hornik, K., Stinchcombe, M., & White, H. (1989). Multilayer feedforward networks are universal approximators. Neural Networks, 2, 359–366.
Simani, S., Fantuzzi, C., & Spina, R. P. (1998). Application of a neural network in gas turbine control sensor fault detection. In Proceedings of the 1998 IEEE International Conference on Control Applications (Vol. 1, pp. 182–186).
Ogaji, S. O. T., & Singh, R. (2002). Advanced engine diagnostics using artificial neural networks. In 2002 IEEE International Conference on Artificial Intelligence Systems (ICAIS 2002) (pp. 236–241).
Sreedhar, R., Fernandez, B., & Masada, G. Y. (1992). A neural network based adaptive fault detection scheme. In Proceedings of the American Control Conference (Vol. 5, pp. 3259–3263).
Arranz, A., Cruz, A., Sanz-Bobi, M. A., Ruz, P., & Coutio, J. (2008). DADICC: Intelligent system for anomaly detection in a combined cycle gas turbine plant. Expert Systems with Applications, 34, 2267–2277.
Fast, M., & Palm, T. (2010). Application of artificial neural networks to the condition monitoring and diagnosis of a combined heat and power plant. Energy, 35, 1114–1120.
Hwang, B. C. (1993). Fault detection and diagnosis of a nuclear power plant using artificial neural networks. Thesis: Simon Fraser University, Canada.
Keyvan, S. (2001). Traditional signal pattern recognition versus artificial neural networks for nuclear plant diagnostics. Progress in Nuclear Energy, 39, 1–29.
Embrechts, M. J., & Benedek, S. (1997). Identification of nuclear power plant transients with neural networks. In: IEEE International Conference on Systems, Man, and Cybernetics, Computational Cybernetics and Simulation (Vol. 1, pp. 912–916).
Weerasinghe, M., Gomm, J. B., & Williams, D. (1998). Neural networks for fault diagnosis of a nuclear fuel processing plant at different operating points. Control Engineering Practice, 6, 281–289.
Fantoni, P. F., & Mazzola, A. (1996). A pattern recognition-artificial neural networks based model for signal validation in nuclear power plants. Annals of Nuclear Energy, 23, 1069–1076.
Park, J., & Sandberg, I. W. (1991). Universal Approximation Using Radial Basis Function Networks. Neural Computation, 3, 246–257.
Chen, T., Chen, A. T., & Chen, R. (1995). Approximation capability to functions of several variables, nonlinear functionals and operators by radial basis function neural networks. IEEE Transactions on Neural Networks, 6, 904–910.
Muoz, A., & Sanz-Bobi, M. A. (1998). An incipient fault detection system based on the probabilistic radial basis function network: Application to the diagnosis of the condenser of a coal power plant. Neurocomputing, 23, 177–194.
Chun-ling, X., Jen-Yuan, C., Xiao-cheng, S., & Jing-min, D. (2008). Fault diagnosis of nuclear power plant based on genetic-RBF neural network. In 15th International Conference on Mechatronics and Machine Vision in Practice, M2VIP (pp. 334–339).
Verbruggen, H. B., Zimmermann, H. J., & Babuska, R. (1999). Fuzzy algorithms for control., International Series in Intelligent Technologies Boston: Kluwer Academic Publishers.
Korbicz, J., Koscielny, J. M., & Kowalczuk, Z. (2004). Fault diagnosis: Models, artificial intelligence, applications. Berlin: Springer.
Diao, Y., & Passino, K. M. (2004). Fault diagnosis for a turbine engine. Control Engineering Practice, 12, 1151–1165.
Ogaji, S. O. T., Marinai, L., Sampath, S., Singh, R., & Prober, S. D. (2005). Gas-turbine fault diagnostics: A fuzzy-logic approach. Applied Energy, 82, 81–89.
Ayoubi, M., & Isermann, R. (1997). Neuro-fuzzy systems for diagnosis. Fuzzy Sets and Systems, 89, 289–307.
Palade, V., Patton, R. J., Uppal, F. J., Quevedo, J., & Daley, S. (2002). Fault diagnosis of an industrial gas turbine using neuro-fuzzy methods. In Proceedings of the 15th IFAC World Congress Barcelona (pp. 2477–2482).
Zio, E., & Gola, G. (2006). Neuro-fuzzy pattern classification for fault diagnosis in nuclear components. Annals of Nuclear Energy, 33, 415–426.
Korbicz, J., & Kowal, M. (2007). Neuro-fuzzy networks and their application to fault detection of dynamical systems. Engineering Applications of Artificial Intelligence, 20, 609–617.
Razavi-Far, R., Davilu, H., Palade, V., & Lucas, C. (2009). Model-based fault detection and isolation of a steam generator using neuro-fuzzy networks. Neurocomputing, 72, 2939–2951.
Nelles, O., & Isermann, R. (1996). Basis function networks for interpolation of local linear models. In Proceedings of the 35th IEEE Decision and Control (Vol. 1, pp. 470–475).
Ruz-Hernandez, J. A., Sanchez, E. N., & Suarez, D. A. (2005). Neural networks-based scheme for fault diagnosis in fossil electric power plants. In Proceedings of the IEEE International Joint Conference on Neural Networks IJCNN ’05 (Vol. 3, pp. 1740–1745).
Wenli, Y., Lee, K. Y., Junker, S. T., & Ghezel-Ayagh, H. (2008). Fault diagnosis and accommodation system with a hybrid model for fuel cell power plant. In Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century (pp. 1–8): IEEE.
Rakhshani, E., Sariri, I., & Rouzbehi, K. (2009). Application of data mining on fault detection ad prediction in Boiler of power plant using artificial neural network. In International Conference on Power Engineering, Energy and Electrical Drives, POWERENG ’09 (pp. 473–478).
Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. In Proceedings of the IEEE International Conference on Neural Networks (Vol. 4, pp. 1942–1948).
Eberhart, R. C., & Shi, Y. (2000). Comparing inertia weights and constriction factors in particle swarm optimization. In Proceedings of the 2000 Congress on Evolutionary Computation (Vol. 1, pp. 84–88).
Clerc, M., & Kennedy, J. (2002). The particle swarm - explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation, 6, 58–73.
Yang, E., Erdogan, A. T., Arslan, T., & Barton, N. (2007). An improved particle swarm optimization algorithm for power-efficient wireless sensor networks. In ECSIS Symposium on Bio-inspired, Learning, and Intelligent Systems for Security (BLISS 2007) (pp. 76–82).
Huang, D. S., Li, K., Irwin, G., He, Q., & Han, C. (2006). An improved particle swarm optimization algorithm with disturbance term. In Computational Intelligence and Bioinformatics (Vol. 4115, pp. 100–108). Berlin: Springer.
Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C., Hu, W., et al. (2007). A new BP network based on improved PSO algorithm and its application on fault diagnosis of gas turbine. In Advances in Neural Networks (Vol. 4493, pp. 277–283). Heidelberg: Springer.
Porto, V., Saravanan, N., Waagen, D., Eiben, A., & Angeline, P. (1998). Evolutionary optimization versus particle swarm optimization: Philosophy and performance differences. In Evolutionary Programming VII (pp. 601–610). Heidelberg: Berlin.
Macdonald, D. W., & Sillero-Zubiri, C. (2004). The biology and conservation of wild canids. Oxford: Oxford University Press. (3 June 2010).
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Lemma, T.A. (2018). Model Identification Using Neuro-Fuzzy Approach. In: A Hybrid Approach for Power Plant Fault Diagnostics. Studies in Computational Intelligence, vol 743. Springer, Cham. https://doi.org/10.1007/978-3-319-71871-2_3
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DOI: https://doi.org/10.1007/978-3-319-71871-2_3
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