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Abstract

This work presents the development of the intelligent Multi-objective non-linear MPC (iMO-NMPC) strategy applied to MIMO nonlinear systems. This strategy has been validated with nonlinear SISO and MISO systems, and its natural evolution is to be validated with MIMO systems. In this work, the MIMO system consists of two nonlinear SISO systems stacked and without any coupling. Since iMO-NMPC is a predictive controller, Neural Networks will be used to predict the dynamics of the MIMO system. A step by step validation procedure is presented, starting with an analysis of the quality of the predictions. Finally, parameter influence of the proposed iMO-NMPC on the control performance is studied.

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References

  1. Albertos, P., Sala, A.: Multivariable Control Systems. Springer, London (2004). https://doi.org/10.1007/b97506

    Book  MATH  Google Scholar 

  2. Camacho, E.F., Bordons, C.: Nonlinear model predictive control: an introductory review. In: Findeisen, R., Allgöwer, F., Biegler, L.T. (eds.) Assessment and Future Directions of Nonlinear Model Predictive Control. LNCIS, vol. 358. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-72699-9_1

  3. Camacho, E.F., Bordons, C.: Model Predictive Control. Springer, Singapore. 2nd edn. (2007). https://doi.org/10.1007/978-981-13-0083-7

  4. Harris, C.: Advances in Intelligent Control. CRC Press, Boca Raton (1994)

    Google Scholar 

  5. Hornik, K., Stinchcombe, M., White, H.: Multilayer feedforward networks are universal approximators. Neural Netw. 2, 359–366 (1989)

    Article  Google Scholar 

  6. Jagannathan, S., Lewis, F.: Identification of nonlinear dynamical systems using multilayered neural networks. Automatica 32(12), 1707–1712 (1996)

    Article  MathSciNet  Google Scholar 

  7. Larrea, M., Larzabal, E., Irigoyen, E., Valera, J., Dendaluce, M.: Implementation and testing of a soft computing based model predictive control on an industrial controller. J. Appl. Log. (2014). https://doi.org/10.1016/j.jal.2014.11.005

    Article  Google Scholar 

  8. Larrea, M., Irigoyen, E., Gómez, V.: Adding nonlinear system dynamics to Levenberg-Marquardt algorithm for neural network control. In: Diamantaras, K., Duch, W., Iliadis, L.S. (eds.) ICANN 2010. LNCS, vol. 6354, pp. 352–357. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-15825-4_47

    Chapter  Google Scholar 

  9. Marchante, G., Acosta, A., González, A., Zamarreño, J., Álvarez, V.: Comfort constraints evaluation in predictive controller for energy efficiency. RIAI J. 18(2), 146–159 (2021). https://doi.org/10.4995/riai.2020.13937

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

    Article  Google Scholar 

  11. Schaaf, M.: Hybrid model predictive control of a gravity separator with intermittent product extraction. RIAI J. 17(3), 318–328 (2020). https://doi.org/10.4995/riai.2020.11957

  12. Valera, J., Gómez, V., Irigoyen, E., Artaza, F., Larrea, M.: Intelligent multi-objective nonlinear model predictive control (IMO-NMPC): towards the ‘on-line’ optimization of highly complex control problems. Expert Syst. Appl. 39(7), 6527–6540 (2012). https://doi.org/10.1016/j.eswa.2011.12.052

    Article  Google Scholar 

  13. Viana, K., Larrea, M., Irigoyen, E., Diez, M., Zubizarreta, A.: MIMO neural models for a twin-rotor platform: comparison between mathematical simulations and real experiments. In: Herrero, Á., Cambra, C., Urda, D., Sedano, J., Quintián, H., Corchado, E. (eds.) SOCO 2020. AISC, vol. 1268, pp. 407–417. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-57802-2_39

    Chapter  Google Scholar 

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This work comes under the framework of the projects PID2020-120087 GB-C22 and PID2020-120087 GB-C21 granted by the Ministry of Science and Innovation of the Government of Spain. (AEI / http://dx.doi.org/10.13039/501100011033).

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Correspondence to Mikel Larrea .

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Zabaljauregi, A., Alonso, A., Larrea, M., Irigoyen, E., Sanchis, J. (2023). Control of MIMO Systems with iMO-NMPC Strategy. In: García Bringas, P., et al. 17th International Conference on Soft Computing Models in Industrial and Environmental Applications (SOCO 2022). SOCO 2022. Lecture Notes in Networks and Systems, vol 531. Springer, Cham. https://doi.org/10.1007/978-3-031-18050-7_46

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