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2019 | OriginalPaper | Chapter

An Evolutionary Intelligent Approach for the LTI Systems Identification in Continuous Time

Authors : Luis Morales, Oscar Camacho, Danilo Chávez, José Aguilar

Published in: Technology Trends

Publisher: Springer International Publishing

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Abstract

Identification and modeling of systems are the first stage for development and design of controllers. For this purpose, as an alternative to conventional modeling approaches we propose using two methods of evolutionary computing: Genetic Algorithms (GA) and Particle Swarm Optimization (PSO to create an algorithm for modeling Linear Time Invariant (LTI) systems of different types. Integral Square Error (ISE) is the objective function to minimize, which is calculated between the outputs of the real system and the model. Unlike other works, the algorithms make a search of the most approximate model based on four of the most common ones found in industrial processes: systems of first order, first order plus time delay, second order and inverse response. The estimated models by our algorithms are compared with the obtained by other analytical and heuristic methods, in order to validate the results of our approach.

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Literature
1.
go back to reference Smith, C., Corripio, A.: Principles and Practice of Automatic Process Control, 3rd edn. Wiley, New York (2006) Smith, C., Corripio, A.: Principles and Practice of Automatic Process Control, 3rd edn. Wiley, New York (2006)
3.
go back to reference Kristinsson, K., Dumont, G.A.: System identification and control using genetic algorithms. IEEE Trans. Syst. Man. Cybern. 22(5), 1033–1046 (1992) Kristinsson, K., Dumont, G.A.: System identification and control using genetic algorithms. IEEE Trans. Syst. Man. Cybern. 22(5), 1033–1046 (1992)
4.
go back to reference Johnson, T., Husbands, P.: System identification using genetic algorithms. In: Parallel Problem Solving from Nature, no. 1, pp. 85–89. Springer, Heidelberg (1991) Johnson, T., Husbands, P.: System identification using genetic algorithms. In: Parallel Problem Solving from Nature, no. 1, pp. 85–89. Springer, Heidelberg (1991)
5.
go back to reference Zhang, R., Tao, J.: A nonlinear fuzzy neural network modeling approach using an improved genetic algorithm. IEEE Trans. Ind. Electron. 65(7), 5882–5892 (2018) Zhang, R., Tao, J.: A nonlinear fuzzy neural network modeling approach using an improved genetic algorithm. IEEE Trans. Ind. Electron. 65(7), 5882–5892 (2018)
6.
go back to reference Alfi, A., Modares, H.: System identification and control using adaptive particle swarm optimization. Appl. Math. Model. 35(3), 1210–1221 (2011) Alfi, A., Modares, H.: System identification and control using adaptive particle swarm optimization. Appl. Math. Model. 35(3), 1210–1221 (2011)
7.
go back to reference Dub, M., Stefek, A.: Mechatronics 2013. Springer, Cham (2014) Dub, M., Stefek, A.: Mechatronics 2013. Springer, Cham (2014)
8.
go back to reference Hassan, R., Cohanim, B., de Weck, O., Venter, G.: A comparison of particle swarm optimization and the genetic algorithm. In: 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, no. April, pp. 1–13 (2005) Hassan, R., Cohanim, B., de Weck, O., Venter, G.: A comparison of particle swarm optimization and the genetic algorithm. In: 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, no. April, pp. 1–13 (2005)
9.
go back to reference Marlin, T.: Process Control. Design Processes and Control System for Dynamic Performance. McGraw Hill, New York (1995) Marlin, T.: Process Control. Design Processes and Control System for Dynamic Performance. McGraw Hill, New York (1995)
10.
go back to reference Balaguer, P., Alfaro, V., Arrieta, O.: Second order inverse response process identification from transient step response. ISA Trans. 50(2), 231–238 (2011) Balaguer, P., Alfaro, V., Arrieta, O.: Second order inverse response process identification from transient step response. ISA Trans. 50(2), 231–238 (2011)
11.
go back to reference Aguilar, J., Cerrada, M.: Genetic programming-based approach for system identification. Adv. Fuzzy Syst. Evol. Comput. Artif. Intell. 329–324 (2001) Aguilar, J., Cerrada, M.: Genetic programming-based approach for system identification. Adv. Fuzzy Syst. Evol. Comput. Artif. Intell. 329–324 (2001)
12.
go back to reference Carabalí, C.A., Tituaña, L., Aguilar, J., Camacho, O., Chavez, D.: Inverse response systems identification using genetic programming. In: Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics, vol. 1, no. Icinco, pp. 238–245 (2017) Carabalí, C.A., Tituaña, L., Aguilar, J., Camacho, O., Chavez, D.: Inverse response systems identification using genetic programming. In: Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics, vol. 1, no. Icinco, pp. 238–245 (2017)
13.
go back to reference Tang, H., Xue, S., Fan, C.: Differential evolution strategy for structural system identification. Comput. Struct. 86(21–22), 2004–2012 (2008) Tang, H., Xue, S., Fan, C.: Differential evolution strategy for structural system identification. Comput. Struct. 86(21–22), 2004–2012 (2008)
14.
go back to reference Venter, G., Sobieszczanski-Sobieski, J.: Particle swarm optimization. AIAA J. 41(8), 1583–1589 (2003) Venter, G., Sobieszczanski-Sobieski, J.: Particle swarm optimization. AIAA J. 41(8), 1583–1589 (2003)
15.
go back to reference Aguilar, J.: The evolutionary programming in the identification of discreet events dynamic systems. IEEE Lat. Am. Trans. 5(5), 301–310 (2007) Aguilar, J.: The evolutionary programming in the identification of discreet events dynamic systems. IEEE Lat. Am. Trans. 5(5), 301–310 (2007)
16.
go back to reference Garnier, H., Mensler, M., Richard, A.: Continuous-time model identification from sampled data: implementation issues and performance evaluation. Int. J. Control 76(13), 1337–1357 (2003) Garnier, H., Mensler, M., Richard, A.: Continuous-time model identification from sampled data: implementation issues and performance evaluation. Int. J. Control 76(13), 1337–1357 (2003)
17.
go back to reference Seborg, D., Edgar, T., Mellichamp, D., Doyle, F.: Process Dynamics and Control, 3rd edn. Wiley, New York (2011) Seborg, D., Edgar, T., Mellichamp, D., Doyle, F.: Process Dynamics and Control, 3rd edn. Wiley, New York (2011)
Metadata
Title
An Evolutionary Intelligent Approach for the LTI Systems Identification in Continuous Time
Authors
Luis Morales
Oscar Camacho
Danilo Chávez
José Aguilar
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-05532-5_32

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