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Prediction Interval-Based Control of Nonlinear Systems Using Neural Networks

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Book cover Neural Information Processing (ICONIP 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9491))

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Abstract

Prediction interval (PI) is a promising tool for quantifying uncertainties associated with point predictions. Despite its informativeness, the design and deployment of PI-based controller for complex systems is very rare. As a pioneering work, this paper proposes a framework for design and implementation of PI-based controller (PIC) for nonlinear systems. Neural network (NN)-based inverse model within internal model control structure is used to develop the PIC. Firstly, a PI-based model is developed to construct PIs for the system output. This model is then used as an online estimator for PIs. The PIs from this model are fed to the NN inverse model along with other traditional inputs to generate the control signal. The performance of the proposed PIC is examined for two case studies. This includes a nonlinear batch polymerization reactor and a numerical nonlinear plant. Simulation results demonstrated that the proposed PIC tracking performance is better than the traditional NN-based controller.

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References

  1. Deepa, N., Arulselvi, S.: Design and implementation of neuro controllers for a two-tank interacting level process. Int. J. ChemTech Res. 6(12), 4948–4959 (2014)

    Google Scholar 

  2. Ho, S., Xie, M., Tang, L., Xu, K., Goh, T.: Neural network modeling with confidence bounds: a case study on the solder paste deposition process. IEEE Trans. Electron. Packag. Manuf. 24(4), 323–332 (2001)

    Article  Google Scholar 

  3. Hosen, M.A., Hussain, M.A., Mjalli, F.S.: Control of polystyrene batch reactors using neural network based model predictive control (nnmpc): an experimental investigation. Control Eng. Pract. 19(5), 454–467 (2011)

    Article  Google Scholar 

  4. Hosen, M.A., Hussain, M.A., Mjalli, F.S.: Hybrid modelling and kinetic estimation for polystyrene batch reactor using artificial neutral network (ann) approach. Asia-Pacific J. Chem. Eng. 6(2), 274–287 (2011)

    Article  Google Scholar 

  5. Hosen, M.A., Hussain, M.A., Mjalli, F.S., Khosravi, A., Creighton, D., Nahavandi, S.: Performance analysis of three advanced controllers for polymerization batch reactor: an experimental investigation. Chem. Eng. Res. Des. 92(5), 903–916 (2014)

    Article  Google Scholar 

  6. Hosen, M.A., Khosravi, A., Creighton, D., Nahavandi, S.: Prediction interval-based modelling of polymerization reactor: a new modelling strategy for chemical reactors. J. Taiwan Inst. Chem. Eng. 45(5), 2246–2257 (2014)

    Article  Google Scholar 

  7. Hosen, M.A., Khosravi, A., Nahavandi, S., Creighton, D.: Prediction interval-based neural network modelling of polystyrene polymerization reactor: a new perspective of data-based modelling. Chem. Eng. Re. Des. 92(11), 2041–2051 (2014)

    Article  Google Scholar 

  8. Hosen, M.A., Khosravi, A., Nahavandi, S., Creighton, D.: Improving the quality of prediction intervals through optimal aggregation. IEEE Trans. Ind. Electron. 62(7), 4420–4429 (2015)

    Article  Google Scholar 

  9. Kavousi-Fard, A., Khosravi, A., Nahavandi, S.: A new fuzzy-based combined prediction interval for wind power forecasting. IEEE Trans. Power Syst. 99, 1–9 (2015)

    Google Scholar 

  10. Khosravi, A., Nahavandi, S.: Combined nonparametric prediction intervals for wind power generation. IEEE Trans. Sustainable Energy 4(4), 849–856 (2013)

    Article  Google Scholar 

  11. Khosravi, A., Nahavandi, S., Creighton, D., Atiya, A.: Lower upper bound estimation method for construction of neural network-based prediction intervals. IEEE Trans. Neural Netw. 22(3), 337–346 (2011)

    Article  Google Scholar 

  12. Khosravi, A., Mazloumi, E., Nahavandi, S., Creighton, D., Van Lint, J.: A genetic algorithm-based method for improving quality of travel time prediction intervals. Transp. Res. Part C: Emerg. Technol. 19(6), 1364–1376 (2011)

    Article  Google Scholar 

  13. Khosravi, A., Nahavandi, S., Creighton, D., Srinivasan, D.: Optimizing the quality of bootstrap-based prediction intervals. In: The 2011 International Joint Conference on Neural Networks (IJCNN), pp. 3072–3078. IEEE (2011)

    Google Scholar 

  14. Narendra, K.S., Parthasarathy, K.: Identification and control of dynamical systems using neural networks. IEEE Trans. Neural Netw. 1(1), 4–27 (1990)

    Article  Google Scholar 

  15. Pierce, S.G., Worden, K., Bezazi, A.: Uncertainty analysis of a neural network used for fatigue lifetime prediction. Mech. Syst. Signal Process. 22(6), 1395–1411 (2008)

    Article  Google Scholar 

  16. Quan, H., Srinivasan, D., Khosravi, A.: Incorporating wind power forecast uncertainties into stochastic unit commitment using neural network-based prediction intervals. IEEE Trans. Neural Netw. Learn. Syst. 99, 1–1 (2014)

    Google Scholar 

  17. Quan, H., Srinivasan, D., Khosravi, A.: Uncertainty handling using neural network-based prediction intervals for electrical load forecasting. Energy 73, 916–925 (2014)

    Article  Google Scholar 

  18. Salman, R.: Neural networks of adaptive inverse control systems. Appl. Math. Comput. 163(2), 931–939 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  19. Shrivastava, N., Khosravi, A., Panigrahi, B.: Prediction interval estimation of electricity prices using pso-tuned support vector machines. IEEE Trans. Ind. Inform. 11(2), 322–331 (2015)

    Google Scholar 

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Correspondence to Mohammad Anwar Hosen .

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Hosen, M.A., Khosravi, A., Nahavandi, S., Creighton, D. (2015). Prediction Interval-Based Control of Nonlinear Systems Using Neural Networks. In: Arik, S., Huang, T., Lai, W., Liu, Q. (eds) Neural Information Processing. ICONIP 2015. Lecture Notes in Computer Science(), vol 9491. Springer, Cham. https://doi.org/10.1007/978-3-319-26555-1_12

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  • DOI: https://doi.org/10.1007/978-3-319-26555-1_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26554-4

  • Online ISBN: 978-3-319-26555-1

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