Abstract
The paper presents a new approach to nonlinear modeling based on significant operating points detection from non-invasive identification of nonlinear dynamic system. The swarm intelligence supported by the genetic algorithm is used in the proposed approach to identify the unknown parameters of the nonlinear dynamic system in different significant operating points. The parameters of the membership functions of the fuzzy rules and the parameters of the linear models are simultaneously identified. The new approach was tested on the nonlinear electrical circuit, which was replaced by the approximate linear model. The obtained results prove efficiency of the new approach based on the significant operating points detection.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alsumait, J., Sykulski, J., Al-Othman, A.: A hybrid ga–ps–sqp method to solve power system valve-point economic dispatch problems. Applied Energy 87, 1773–1781 (2010)
Bartczuk, Ł., Przybył, A., Koprinkova-Hristova, P.: New method for nonlinear fuzzy correction modelling of dynamic objects. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part I. LNCS (LNAI), vol. 8467, pp. 169–180. Springer, Heidelberg (2014)
Chiu, S.: Fuzzy model identification based on cluster estimation. J. Intell. Fuzzy Systems 2(3) 2, 267–278 (1994)
Cpalka, K.: A method for designing flexible neuro-fuzzy systems. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 212–219. Springer, Heidelberg (2006)
Cpałka, K.: On evolutionary designing and learning of flexible neuro-fuzzy structures for nonlinear classification. Nonlinear Analysis Series A: Theory, Methods and Applications 71, 1659–1672 (2009)
Cpałka, K., Łapa, K., Przybył, A., Zalasiński, M.: A new method for designing neuro-fuzzy systems for nonlinear modelling with interpretability aspects. Neurocomputing 135, 203–217 (2014)
Cpałka, K., Rebrova, O., Nowicki, R., Rutkowski, L.: On design of flexible neuro-fuzzy systems for nonlinear modelling. Int. Journal of General Systems 42(6), 706–720 (2013)
Cpałka, K., Rutkowski, L.: A New Method for Designing and Reduction of Neuro-fuzzy Systems. In: Proceedings of the 2006 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence, WCCI 2006), Vancouver, BC, Canada, pp. 8510–8516 (2006)
Cpałka, K., Rutkowski, L.: Flexible Takagi-Sugeno Fuzzy Systems. In: Proceedings of the International Joint Conference on Neural Networks, Montreal, pp. 1764–1769 (2005)
Cpałka, K., Rutkowski, L.: Flexible Takagi-Sugeno neuro-fuzzy structures for nonlinear approximation. WSEAS Transactions on Systems 9(4), 1450–1458 (2005)
Dziwiński, P., Bartczuk, Ł., Przybył, A., Avedyan, E.D.: A new algorithm for identification of significant operating points using swarm intelligence. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part II. LNCS (LNAI), vol. 8468, pp. 349–362. Springer, Heidelberg (2014)
Dziwiñski, P., Rutkowska, D.: Algorithm for generating fuzzy rules for WWW document classification. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 1111–1119. Springer, Heidelberg (2006)
Eftekhari, M., Deai, B., Katebi, S.: Gradient-based ant colony optimization for continuous spaces. Esteghlal Journal of Eng. 25, 33–45 (2006)
Eftekhari, M., Zeinalkhani, M.: Extracting interpretable fuzzy models for nonlinear systems using gradient-based continuous ant colony optimization. Fuzzy Information and Engineering 5, 255–277 (2013)
El-Abd, M.: On the hybridization on the artificial bee colony and particle swarm optimization algorithms. Journal of Artificial Intelligence and Soft Computing Research 2(2), 145–155 (2012)
Fang, N., Zhou, J., Zhang, R., Liu, Y., Zhang, Y.: A hybrid of real coded genetic algorithm and artificial fish swarm algorithm for short-term optimal hydrothermal scheduling. International Journal of Electrical Power & Energy Systems 62, 617–629 (2014)
Gandomi, A.H., Yun, Y.G.J., Yang, X.S., Talatahari, S.: Chaos-enhanced accelerated particle swarm optimization. Communications in Nonlinear Science and Numerical Simulation 18, 327–340 (2013)
He, D.K., Wang, F.L., Mao, Z.Z.: Hybrid genetic algorithm for economic dispatch with valve-point effect. Electric Power Systems Research 78, 626–633 (2008)
Juang, C.F.: A hybrid of genetic algorithm and particle swarm optimization for recurrent network design. IEEE Transactions on Systems, MAN, AND Cybernetics - Part B: Cybernetics 34(2), 997–1006 (2004)
Korytkowski, M., Rutkowski, L., Scherer, R.: From ensemble of fuzzy classifiers to single fuzzy rule base classifier. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS (LNAI), vol. 5097, pp. 265–272. Springer, Heidelberg (2008)
Liu, X., Jiang, M., Jike, G.: A method research on nonlinear system identification based on neural network. Lecture Notes in Electrical Engineering, vol. 154(1), pp. 234–240. Springer (2012)
Łapa, K., Przybył, A., Cpałka, K.: A new approach to designing interpretable models of dynamic systems. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 523–534. Springer, Heidelberg (2013)
Łapa, K., Zalasiński, M., Cpałka, K.: A new method for designing and complexity reduction of neuro-fuzzy systems for nonlinear modelling. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part I. LNCS (LNAI), vol. 7894, pp. 329–344. Springer, Heidelberg (2013)
Arain, M.A., Hultmann Ayala, H.V., Ansari, M.A.: Nonlinear system identification using neural network. In: Chowdhry, B.S., Shaikh, F.K., Hussain, D.M.A., Uqaili, M.A. (eds.) IMTIC 2012. CCIS, vol. 281, pp. 122–131. Springer, Heidelberg (2012)
Niknam, T.: A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convex economic dispatch problem. Applied Energy 87, 327–339 (2010)
Peteiro-Barral, D., Bardinas, B.G., Perez-Sanchez, B.: Learning from heterogeneously distributed data sets using artificial neural networks and genetic algorithms. Journal of Artificial Intelligence and Soft Computing Research 2(1), 5–20 (2012)
Przybył, A., Er, M.J.: The idea for the integration of neuro-fuzzy hardware emulators with real-time network. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part I. LNCS (LNAI), vol. 8467, pp. 279–294. Springer, Heidelberg (2014)
Przybył, A., Jelonkiewicz, J.: Genetic algorithm for observer parameters tuning in sensorless induction motor drive. In: Neural Networks and Soft Computing, pp. 376-381 (2003)
Przybył, A., Smoląg, J., Kimla, P.: Distributed control system based on real time ethernet for computer numerical controlled machine tool. Przegląd Elektrotechniczny 86(2), 342–346 (2010) (in Polish)
Prampero, P.S., Attux, R.: Magnetic particle swarm optimization. Journal of Artificial Intelligence and Soft Computing Research 2(1), 59–72 (2012)
Rudenko, O., Bezsonov, O.: Robust neuroevolutionary identification of nonlinear nonstationary objects. Cybernetics and Systems Analysis 50(1), 17–30 (2014)
Rutkowski, L., Cpałka, K.: Neuro-fuzzy systems derived from quasi-triangular norms. In: Proceedings of the IEEE International Conference on Fuzzy Systems, Budapest, July 26-29, vol. 2, pp. 1031–1036 (2004)
Rutkowski, L., Cpałka, K.: Compromise approach to neuro-fuzzy systems. In: Sincak, P., Vascak, J., Kvasnicka, V., Pospichal, J. (eds.) Intelligent Technologies - Theory and Applications, vol. 76, pp. 85–90. IOS Press (2002)
Rutkowski, L., Przybył, A., Cpałka, K., Er, M.J.: Online speed profile generation for industrial machine tool based on neuro-fuzzy approach. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010, Part II. LNCS (LNAI), vol. 6114, pp. 645–650. Springer, Heidelberg (2010)
Rutkowski, L.: Online Identification Of Time-Varying Systems by Nonparametric Techniques. IEEE Trans. Automatic Control 27(1), 228–230 (1982)
Rutkowski, L.: On nonparametric identification with prediction of time-varying systems. IEEE Trans. Automatic Control 29(1), 58–60 (1984)
Rutkowski, L.: Nonparametric identification of quasi-stationary systems. Systems & Control Letters 6(1), 33–35 (1985)
Rutkowski, L.: Real-time identification of time-varying systems by non-parametric algorithms based on Parzen kernels. Int. Journal of Systems Science 16(9), 1123–1130 (1985)
Rutkowski, L.: A general-approach for nonparametric fitting of functions and their derivatives with applications to linear circuits identification. IEEE Trans. Circuits and Systems 33(8), 812–818 (1986)
Rutkowski, L., Rafajłowicz, E.: On optimal global rate of convergence of some nonparametric identification procedures. IEEE Trans. Automatic Control 34(10), 1089–1091 (1989)
Rutkowski, L.: Application of multiple Fourier-series to identification of multivariable non-stationary systems. Int. Journal of Systems Science 20(10), 1993–2002 (1989)
Rutkowski, L.: Identification of miso nonlinear regressions in the presence of a wide class of disturbances. IEEE Trans. Information Theory 37(1), 214–216 (1991)
Rutkowski, L.: Multiple Fourier-series procedures for extraction of nonlinear regressions from noisy data. IEEE Trans. Signal Processing 41(10), 3062–3065 (1993)
Rutkowski, L., Cpałka, K.: A neuro-fuzzy controller with a compromise fuzzy reasoning. Control and Cybernetics 31(2), 297–308 (2002)
Starczewski, J.T., Rutkowski, L.: Connectionist Structures of Type 2 Fuzzy Inference Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds.) PPAM 2001. LNCS, vol. 2328, pp. 634–642. Springer, Heidelberg (2002)
Starczewski, J., Rutkowski, L.: Interval type 2 neuro-fuzzy systems based on interval consequents. Advances in Soft Computing, pp. 570–577 (2003)
Sutrisno, I., Mohammad, A.J., Jinglu, H.: Modified fuzzy adaptive controller applied to nonlinear systems modeled under quasi-arx neural network. Artificial Life and Robotics 19, 22–26 (2014)
Szczypta, J., Przybył, A., Cpałka, K.: Some aspects of evolutionary designing optimal controllers. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 91–100. Springer, Heidelberg (2013)
Szczypta, J., Przybył, A., Wang, L.: Evolutionary approach with multiple quality criteria for controller design. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part I. LNCS (LNAI), vol. 8467, pp. 455–467. Springer, Heidelberg (2014)
Theodoridis, D.C., Boutalis, Y.S., Christodoulou, M.A.: Robustifying analysis of the direct adaptive control of unknown multivariable nonlinear systems based on a new neuro-fuzzy method. Journal of Artificial Intelligence and Soft Computing Research 1(1), 59–79 (2011)
Tran, V.N., Brdys, M.A.: Optimizing control by robustly feasible model predictive control and application to drinking water distribution systems. Journal of Artificial Intelligence and Soft Computing Research 1(1), 43–57 (2011)
Wang, F., Qiu, Y.: A modified particle swarm optimizer with roulette selection operator. In: Natural Language Processing and Knowledge Engineering, IEEE NLP-KE 2005, pp. 765–768 (2005)
Zalasiński, M., Cpałka, K.: New approach for the on-line signature verification based on method of horizontal partitioning. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 342–350. Springer, Heidelberg (2013)
Zalasiński, M., Cpałka, K.: Novel algorithm for the on-line signature verification. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2012, Part II. LNCS, vol. 7268, pp. 362–367. Springer, Heidelberg (2012)
Cpałka, K., Zalasiński, M.: On-line signature verification using vertical signature partitioning. Expert Systems with Applications 41, 4170–4180 (2014)
Cpałka, K., Zalasiński, M., Rutkowski, L.: New method for the on-line signature verification based on horizontal partitioning. Pattern Recognition 47, 2652–2661 (2014)
Zalasiński, M., Cpałka, K.: New approach for the on-line signature verification based on method of horizontal partitioning. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS (LNAI), vol. 7895, pp. 342–350. Springer, Heidelberg (2013)
Zalasiński, M., Cpałka, K., Er, M.J.: New method for dynamic signature verification using hybrid partitioning. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part II. LNCS (LNAI), vol. 8468, pp. 216–230. Springer, Heidelberg (2014)
Zalasiński, M., Cpałka, K., Hayashi, Y.: New Method for Dynamic Signature Verification Based on Global Features. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part II. LNCS (LNAI), vol. 8468, pp. 231–245. Springer, Heidelberg (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Dziwiński, P., Avedyan, E.D. (2015). A New Approach to Nonlinear Modeling Based on Significant Operating Points Detection. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2015. Lecture Notes in Computer Science(), vol 9120. Springer, Cham. https://doi.org/10.1007/978-3-319-19369-4_33
Download citation
DOI: https://doi.org/10.1007/978-3-319-19369-4_33
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19368-7
Online ISBN: 978-3-319-19369-4
eBook Packages: Computer ScienceComputer Science (R0)