Abstract
In this paper a new structure of fuzzy PID controllers with FIR filters and a method for selecting its parameters is presented. The proposed solution can be particularly important in solving problems with noise of the object’s feedback signals. To confirm the effectiveness of the proposed method a typical control problem was tested.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Abbas, J.: The bipolar choquet integrals based on ternary-element sets. J. Artif. Intell. Soft Comput. Res. 6(1), 13–21 (2016)
Alia, M.A.K., Younes, T.M., Alsabbah, S.A.: A design of a PID self-tuning controller using LabVIEW. J. Softw. Eng. Appl. 4, 161–171 (2011)
Bartczuk, Ł., Przybył, A., Koprinkova-Hristova, P.: New method for non-linear correction modelling of dynamic objects with genetic programming. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2015. LNCS, vol. 9120, pp. 318–329. Springer, Cham (2015). doi:10.1007/978-3-319-19369-4_29
Bartczuk, Ł.: Gene expression programming in correction modelling of nonlinear dynamic objects. In: Borzemski, L., Grzech, A., Świątek, J., Wilimowska, Z. (eds.) Information Systems Architecture and Technology: Proceedings of 36th International Conference on Information Systems Architecture and Technology – ISAT 2015 – Part I. AISC, vol. 429, pp. 125–134. Springer, Cham (2016). doi:10.1007/978-3-319-28555-9_11
Bartczuk, Ł., Łapa, K., Koprinkova-Hristova, P.: A new method for generating of fuzzy rules for the nonlinear modelling based on semantic genetic programming. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 262–278. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_23
Bartczuk, Ł., Galushkin, A.I.: A new method for generating nonlinear correction models of dynamic objects based on semantic genetic programming. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 249–261. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_22
Bilski, J., Rutkowski, L.: Numerically robust learning algorithms for feed forward neural networks. In: Advances in Soft Computing-Neural Networks and Soft Computing, pp. 149–154. Physica-Verlag, A Springer-Verlag Company (2003)
Bilski, J., Smola̧g, J.: Parallel realisation of the recurrent RTRN neural network learning. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS, vol. 5097, pp. 11–16. Springer, Heidelberg (2008). doi:10.1007/978-3-540-69731-2_2
Bilski, J., Smola̧g, J.: Parallel realisation of the recurrent elman neural network learning. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS, vol. 6114, pp. 19–25. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13232-2_3
Bilski, J., Smoląg, J.: Parallel realisation of the recurrent multi layer perceptron learning. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2012. LNCS, vol. 7267, pp. 12–20. Springer, Heidelberg (2012). doi:10.1007/978-3-642-29347-4_2
Bilski, J., Smoląg, J., Galushkin, A.I.: The parallel approach to the conjugate gradient learning algorithm for the feedforward neural networks. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014. LNCS, vol. 8467, pp. 12–21. Springer, Cham (2014). doi:10.1007/978-3-319-07173-2_2
Boyd, S., Hast, M., Åström, K.J.: MIMO PID tuning via iterated LMI restriction. Int. J. Robust Nonlinear Control 26, 1718–1731 (2016)
Brester, C., Semenkin, E., Sidorov, M.: Multi-objective heuristic feature selection for speech-based multilingual emotion recognition. J. Artif. Intell. Soft Comput. Res. 6(4), 243–253 (2016)
Chen, Q., Abercrombie, R.K., Sheldon, F.T.: Risk assessment for industrial control systems quantifying availability using mean failure cost (MFC). J. Artif. Intell. Soft Comput. Res. 5(3), 205–220 (2015)
Cheng, S., Li, C.W.: Fuzzy PDFF-IIR controller for PMSM drive systems. Control Eng. Pract. 19, 828–835 (2011)
Cierniak, R., Rutkowski, L.: On image compression by competitive neural networks and optimal linear predictors. Sig. Process. Image Commun. 156, 559–565 (2000)
Cpałka, K.: Design of Interpretable Fuzzy Systems. Springer, Heidelberg (2017)
Cpałka, K., Łapa, K., Przybył, A.: A new approach to design of control systems using genetic programming. Inf. Technol. Control 44(4), 433–442 (2015)
Cpałka, K., Rebrova, O., Nowicki, R., Rutkowski, L.: On design of flexible neuro-fuzzy systems for nonlinear modelling. Int. J. Gen Syst 42(6), 706–720 (2013)
Cpałka, K., Rutkowski, L.: Flexible takagi-sugeno, fuzzy systems, neural networks. In: Proceedings of the 2005 IEEE International Joint Conference on IJCNN 2005, vol. 3, pp. 1764–1769 (2005)
Cpałka, K., Zalasiński, M., Rutkowski, L.: A new algorithm for identity verification based on the analysis of a handwritten dynamic signature. Appl. Soft Comput. 43, 47–56 (2016)
Duda, P., Jaworski, M., Pietruczuk, L.: On pre-processing algorithms for data stream. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2012. LNCS, vol. 7268, pp. 56–63. Springer, Heidelberg (2012). doi:10.1007/978-3-642-29350-4_7
Er, M.J., Duda, P.: On the weak convergence of the orthogonal series-type kernel regresion neural networks in a non-stationary environment. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds.) PPAM 2011. LNCS, vol. 7203, pp. 443–450. Springer, Heidelberg (2012). doi:10.1007/978-3-642-31464-3_45
Dziwiński, P., Avedyan, E.D.: A new approach to nonlinear modeling based on significant operating points detection. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2015. LNCS, vol. 9120, pp. 364–378. Springer, Cham (2015). doi:10.1007/978-3-319-19369-4_33
Dziwiński, P., Avedyan, E.D.: A new approach for using the fuzzy decision trees for the detection of the significant operating points in the nonlinear modeling. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 279–292. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_24
Gabryel, M.: A bag-of-features algorithm for applications using a NoSQL database. In: Dregvaite, G., Damasevicius, R. (eds.) ICIST 2016. CCIS, vol. 639, pp. 332–343. Springer, Cham (2016). doi:10.1007/978-3-319-46254-7_26
Gabryel, M., Cpałka, K., Rutkowski, L.: Evolutionary strategies for learning of neuro-fuzzy systems. In: Proceedings of the I Workshop on Genetic Fuzzy Systems, Granada, pp. 119–123 (2005)
Gabryel, M., Grycuk, R., Korytkowski, M., Holotyak, T.: Image indexing and retrieval using GSOM algorithm. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2015. LNCS, vol. 9119, pp. 706–714. Springer, Cham (2015). doi:10.1007/978-3-319-19324-3_63
Gabryel, M.: The bag-of-features algorithm for practical applications using the MySQL database. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 635–646. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_56
Gałkowski, T., Rutkowski, L.: Nonparametric fitting of multivariate functions. IEEE Trans. Autom. Control 31(8), 785–787 (1986)
Hagan, M.T., Demuth, H.B., Jesús, O.D.: An introduction to the use of neural networks in control systems. Int. J. Robust Nonlinear Control 12(11), 959–985 (2002)
Hayashi, Y., Tanaka, Y., Takagi, T., Saito, T., Iiduka, H., Kikuchi, H., Bologna, G.: Recursive-rule extraction algorithm with J48graft and applications to generating credit scores. J. Artif. Intell. Soft Comput. Res. 6(1), 35–44 (2016)
Held, P., Dockhorn, A., Kruse, R.: On merging and dividing social graphs. J. Artif. Intell. Soft Comput. Res. 5(1), 23–49 (2015)
Jaworski, M., Er, M.J., Pietruczuk, L.: On the application of the parzen-type kernel regression neural network and order statistics for learning in a non-stationary environment. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2012. LNCS, vol. 7267, pp. 90–98. Springer, Heidelberg (2012). doi:10.1007/978-3-642-29347-4_11
Kapustianyk, V., Shchur, Y., Kityk, I., Rudyk, V., Lach, G., Laskowski, Ł., Tkaczyk, S., Swiatek, J., Davydov, V.: Resonance dielectric dispersion of TEA-CoCl2Br 2 nanocrystals incorporated into the PMMA matrix. J. Phys. Condens. Matter 20(36), 365215–365223 (2008). IOP Publishing
Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Springer, Heidelberg (2000)
Korytkowski, M., Rutkowski, L., Scherer, R.: Fast image classification, by boosting fuzzy classifiers. Inf. Sci. 327, 175–182 (2016)
Kurien, M.: Overview of different approach of PID controller tuning. Int. J. Res. Advent Technol. 2(1), 167–175 (2014)
Lan, K., Sekiyama, K.: Autonomous viewpoint selection of robot based on aesthetic evaluation of a scene. J. Artif. Intelli. Soft Comput. Res. 6(4), 255–265 (2016)
Laskowska, M., Laskowski, Ł., Jelonkiewicz, J.: SBA-15 mesoporous silica activated by metal ions-verification of molecular structure on the basis of Raman spectroscopy supported by numerical simulations. J. Mol. Struct. 1100, 21–26 (2015). Elsevier
Laskowski, Ł.: A novel hybrid-maximum neural network in stereo-matching process. Neural Comput. Appl. 23(7–8), 2435–2450 (2013). Springer
Laskowski, Ł., Laskowska, M., Jelonkiewicz, J., Boullanger, A.: Spin-glass implementation of a hopfield neural structure. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014. LNCS, vol. 8467, pp. 89–96. Springer, Cham (2014). doi:10.1007/978-3-319-07173-2_9
Laskowski, Ł., Laskowska, M., Jelonkiewicz, J., Boullanger, A.: Molecular approach to hopfield neural network. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2015. LNCS, vol. 9119, pp. 72–78. Springer, Cham (2015). doi:10.1007/978-3-319-19324-3_7
Laskowski, Ł., Laskowska, M., Jelonkiewicz, J., Dulski, M., Wojtyniak, M., Fitta, M., Balanda, M.: SBA-15 mesoporous silica free-standing thin films containing copper ions bounded via propyl phosphonate units-preparation and characterization. J. Solid State Chem. 241, 143–151 (2016). Elsevier
Laskowski, Ł., Laskowska, M., Jelonkiewicz, J., Gałkowski, T., Pawlik, P., Piech, H., Doskocz, M.: Iron doped SBA-15 mesoporous silica studied by Mössbauer spectroscopy. J. Nanomaterials 2016, 1–6 (2016). Hindawi Publishing Corp
Leva, A., Papadopoulos, A.V.: Tuning of event-based industrial controllers with simple stability guarantees. J. Process Control 23, 1251–1260 (2013)
Li, X., Er, M.J., Lim, B.S., Zhou, J.H., Gan, O.P., Rutkowski, L.: Fuzzy regression modeling for tool performance prediction and degradation detection. Int. J. Neural Syst. 2005, 405–419 (2010)
Łapa, K., Cpałka, K., Wang, L.: New method for design of fuzzy systems for nonlinear modelling using different criteria of interpretability. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014. LNCS, vol. 8467, pp. 217–232. Springer, Cham (2014). doi:10.1007/978-3-319-07173-2_20
Łapa, K., Przybył, A., Cpałka, K.: A new approach to designing interpretable models of dynamic systems. Artif. Intell. Soft Comput. 7895, 523–534 (2013)
Łapa, K., Szczypta, J., Venkatesan, R.: Aspects of structure and parameters selection of control systems using selected multi-population algorithms. Artif. Intell. Soft Comput. 9120, 247–260 (2015)
Łapa, K., Szczypta, J., Saito, T.: Aspects of evolutionary construction of new flexible PID-fuzzy controller. Artif. Intell. Soft Comput. 9692, 450–464 (2016)
Maggio, M., Bonvini, M., Leva, A.: The PID+p controller structure and its contextual autotuning. J. Process Control 22, 1237–1245 (2012)
Melanie, M.: An Introduction to Genetic Algorithms. MIT Press, Massachusetts (1999)
Nobukawa, S., Nishimura, H., Yamanishi, T., Liu, J.: Chaotic states induced by resetting process in izhikevich neuron model. J. Artif. Intell. Soft Comput. Res. 5(2), 109–119 (2015)
Pamar, K., Arvapalli, R., Sadhu, Y., Viswaraju, S.: Cascaded PID controller design for heating furnace temperature control. IOSR J. Electr. Commun. Eng. 5(3), 76–83 (2013)
Ribića, A.I., Mataušek, M.R.: A dead-time compensating PID controller structure and robust tuning. J. Process Control 22, 1340–1349 (2012)
Rivero, C.R., Pucheta, J., Laboret, S., Sauchelli, V., Patio, D.: Energy associated tuning method for short-term series forecasting by complete and incomplete datasets. J. Artif. Intell. Soft Comput. Res. 7(1), 5–16 (2017)
Rutkowski, L.: On-line identification of time-varying systems by nonparametric techniques. IEEE Trans. Autom. Control 27(1), 228–230 (1982)
Rutkowski, L.: On nonparametric identification with prediction of time-varying systems. IEEE Trans. Autom. Control 29(1), 58–60 (1984)
Rutkowski, L.: Nonparametric identification of quasi-stationary systems. Syst. Control Lett. 6(1), 33–35 (1985)
Rutkowski, L.: A general approach for nonparametric fitting of functions and their derivatives with applications to linear circuits identification. IEEE Trans. Circ. Syst. 33(8), 812–818 (1986)
Rutkowski, L.: Adaptive probabilistic neural networks for pattern classification in time-varying environment. IEEE Trans. Neural Netw. 15(4), 811–827 (2004)
Rutkowski, L.: Computational Intelligence. Springer, Heidelberg (2008)
Rutkowski, L., Cpałka, K.: Compromise approach to neuro-fuzzy systems. In: Proceedings of the 2nd Euro-International Symposium on Computation Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 76, pp. 85–90 (2002)
Rutkowski, L., Cpałka, K.:, Flexible weighted neuro-fuzzy systems. In: Proceedings of the 9th International Conference on Neural Information Processing (ICONIP 2002), Orchid Country Club, Singapore, November 18–22, 2002, CD (2002)
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., Przybył, A., Cpałka, K.: Novel Online Speed Profile Generation for Industrial Machine Tool Based on Flexible Neuro-Fuzzy Approximation. IEEE Trans. Ind. Electron. 59(2), 1238–1247 (2012)
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. LNCS, vol. 6114, pp. 645–650. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13232-2_79
Saitoh, D., Hara, K.: Mutual learning using nonlinear perceptron. J. Artif. Intell. Soft Comput. Res. 5(1), 71–77 (2015)
Sakurai, S., Nishizawa, M., Soft, C.R.: A new approach for discovering top-k sequential patterns based on the variety of items. J. Artif. Intell. Soft Comput. Res. 5(2), 141–153 (2015)
Segovia, R.V., Hägglund, T., Aström, K.J.: Noise filtering in PI and PID control. In: American Control Conference, pp. 1763–1770 (2013)
Szczypta, J., Łapa, K., Shao, Z.: Aspects of the selection of the structure and parameters of controllers using selected population based algorithms. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014. LNCS, vol. 8467, pp. 440–454. Springer, Cham (2014). doi:10.1007/978-3-319-07173-2_38
Tabellout, M., Kassiba, A., Tkaczyk, S., Laskowski, Ł., Świątek, J.: Dielectric and EPR investigations of stoichiometry and interface effects in silicon carbide nanoparticles. J. Phys. Condens. Matter 18(4), 11–43 (2006). IOP Publishing
Tezuka, T., Claramunt, C.: Kernel analysis for estimating the connectivity of a network with event sequences. J. Artif. Intell. Soft Comput. Res. 7(1), 17–31 (2017)
Yamamoto, Y., Yoshikawa, T., Furuhashi, T.: Improvement of performance of Japanese P300 speller by using second display. J. Artif. Intell. Soft Comput. Res. 5(3), 221–226 (2015)
Zalasiński, M., Cpałka, K.: A new method of on-line signature verification using a flexible fuzzy one-class classifier, pp. 38–53. Academic Publishing House EXIT (2011)
Zalasiński, M., Cpałka, K.: Novel algorithm for the on-line signature verification using selected discretization points groups. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013. LNCS, vol. 7894, pp. 493–502. Springer, Heidelberg (2013). doi:10.1007/978-3-642-38658-9_44
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. LNCS, vol. 8468, pp. 216–230. Springer, Cham (2014). doi:10.1007/978-3-319-07176-3_20
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. LNCS, vol. 8468, pp. 231–245. Springer, Cham (2014). doi:10.1007/978-3-319-07176-3_21
Zalasiński, M., Cpałka, K., Hayashi, Y.: A new approach to the dynamic signature verification aimed at minimizing the number of global features. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 218–231. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_20
Zalasiński, M., Cpałka, K., Rakus-Andersson, E.: An idea of the dynamic signature verification based on a hybrid approach. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2016. LNCS, vol. 9693, pp. 232–246. Springer, Cham (2016). doi:10.1007/978-3-319-39384-1_21
Zalasiński, M., Łapa, K., Cpałka, K.: New algorithm for evolutionary selection of the dynamic signature global features. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013. LNCS, vol. 7895, pp. 113–121. Springer, Heidelberg (2013). doi:10.1007/978-3-642-38610-7_11
Acknowledgment
The project was financed by the National Science Centre (Poland) on the basis of the decision number DEC-2012/05/B/ST7/02138.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Łapa, K., Cpałka, K., Przybył, A., Saito, T. (2017). Fuzzy PID Controllers with FIR Filtering and a Method for Their Construction. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2017. Lecture Notes in Computer Science(), vol 10246. Springer, Cham. https://doi.org/10.1007/978-3-319-59060-8_27
Download citation
DOI: https://doi.org/10.1007/978-3-319-59060-8_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59059-2
Online ISBN: 978-3-319-59060-8
eBook Packages: Computer ScienceComputer Science (R0)