Skip to main content
Erschienen in: Neural Processing Letters 1/2021

02.01.2021

Online Support Vector Regression Based Adaptive NARMA-L2 Controller for Nonlinear Systems

Erschienen in: Neural Processing Letters | Ausgabe 1/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

NARMA model is a simple and effective way to represent nonlinear systems, based on the NARMA model, NARMA-L2 controller is designed and has been successfully applied in the literature. Success of NARMA-L2 controller is directly related to the precision with which controlled systems’ dynamics can be estimated. In this paper, online SVR is utilized to obtain controlled plant’s subdynamics and consequently this information is used in the construction of NARMA-L2 controller. Hence functionality of NARMA-L2 controllers and high generalization capability of SVR are combined. Also, SVR formulates a convex optimization problem and therefore guarantees global optimum solution. The proposed method is assessed by performing simulations on a nonlinear CSTR system, the robustness of the designed controller is also tested under noisy and uncertainty conditions.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Majstorovic M, Nikolic I, Radovic J, Kvascev G (2008) Neural network control approach for a two-tank system. In: 9th symposium on neural network applications in electrical engineering (NEUREL 2008). Belgrade, Serbia Majstorovic M, Nikolic I, Radovic J, Kvascev G (2008) Neural network control approach for a two-tank system. In: 9th symposium on neural network applications in electrical engineering (NEUREL 2008). Belgrade, Serbia
3.
Zurück zum Zitat Pedro JO, Nyandoro OTC, John S (2009) Neural network based feedback linearisation slip control of an anti-lock braking system. In: Asian control conference (ASCC 2009). Hong Kong, China Pedro JO, Nyandoro OTC, John S (2009) Neural network based feedback linearisation slip control of an anti-lock braking system. In: Asian control conference (ASCC 2009). Hong Kong, China
4.
Zurück zum Zitat De Jesus O, Pukrittayakamee A, Hagan MT (2001) A comparison of neural network control algorithms. In: International joint conference on neural networks(IJCNN’01). Washington, D.C De Jesus O, Pukrittayakamee A, Hagan MT (2001) A comparison of neural network control algorithms. In: International joint conference on neural networks(IJCNN’01). Washington, D.C
5.
Zurück zum Zitat Pukrittayakamee A, De Jesus O, Hagan MT (2002) Smoothing the control action for NARMA-L2 controllers. In: 45th midwest symposium on circuits and systems (MWSCAS 2002). Tulsa, OK Pukrittayakamee A, De Jesus O, Hagan MT (2002) Smoothing the control action for NARMA-L2 controllers. In: 45th midwest symposium on circuits and systems (MWSCAS 2002). Tulsa, OK
7.
Zurück zum Zitat Wahyudi, Mokri SS, Shafie AA (2008) Real time implementation of NARMA L2 feedback linearization and smoothed NARMA L2 controls of a single link manipulator. In: International conference on computer and communication engineering. Kuala Lumpur, Malaysia Wahyudi, Mokri SS, Shafie AA (2008) Real time implementation of NARMA L2 feedback linearization and smoothed NARMA L2 controls of a single link manipulator. In: International conference on computer and communication engineering. Kuala Lumpur, Malaysia
8.
Zurück zum Zitat Akbarimajd A, Kia S (2010) NARMA-L2 controller for 2-DoF underactuated planar manipulator. In: International conference on control, automation, robotics and vision (ICARCV 2010). Singapore Akbarimajd A, Kia S (2010) NARMA-L2 controller for 2-DoF underactuated planar manipulator. In: International conference on control, automation, robotics and vision (ICARCV 2010). Singapore
9.
Zurück zum Zitat Vesselenyi T, Dzitac S, Dzitac I, Manolescu MJ (2007) Fuzzy and neural controllers for a pneumatic actuator. Int J Comput Commun Control 2(4):375–387CrossRef Vesselenyi T, Dzitac S, Dzitac I, Manolescu MJ (2007) Fuzzy and neural controllers for a pneumatic actuator. Int J Comput Commun Control 2(4):375–387CrossRef
10.
Zurück zum Zitat Awwad A, Abu-Rub H, Toliyat HA (2008) Nonlinear autoregressive moving average (NARMA-L2) controller for advanced AC motor control. In: 34th annual conference of the ieee industrial electronics society (IECON 2008). Orlando, FL Awwad A, Abu-Rub H, Toliyat HA (2008) Nonlinear autoregressive moving average (NARMA-L2) controller for advanced AC motor control. In: 34th annual conference of the ieee industrial electronics society (IECON 2008). Orlando, FL
11.
Zurück zum Zitat Pedro J, Ekoru J (2013) NARMA-L2 control of a nonlinear half-car servo-hydraulic vehicle suspension system. Acta Polytech Hung 10(4):5–26 Pedro J, Ekoru J (2013) NARMA-L2 control of a nonlinear half-car servo-hydraulic vehicle suspension system. Acta Polytech Hung 10(4):5–26
12.
Zurück zum Zitat Lutfy OF, Selamat H (2015) Wavelet neural network-based narma-l2 internal model control utilizing micro-artificial immune techniques to control nonlinear systems. Arab J Sci Eng 40(9):2813–2828CrossRef Lutfy OF, Selamat H (2015) Wavelet neural network-based narma-l2 internal model control utilizing micro-artificial immune techniques to control nonlinear systems. Arab J Sci Eng 40(9):2813–2828CrossRef
13.
Zurück zum Zitat Paul R, Chokkadi S (2016) Implementation of NARMA-L2 controller for shell and tube heat exchanger temperature process. Indus Eng Chem Res 55(19):5644–5653CrossRef Paul R, Chokkadi S (2016) Implementation of NARMA-L2 controller for shell and tube heat exchanger temperature process. Indus Eng Chem Res 55(19):5644–5653CrossRef
14.
Zurück zum Zitat Al-Dunainawi Y, Abbod MF, Jizany A (2017) A new MIMO ANFIS-PSO based NARMA-L2 controller for nonlinear dynamic systems. Eng Appl Artif Intell 62:265–275CrossRef Al-Dunainawi Y, Abbod MF, Jizany A (2017) A new MIMO ANFIS-PSO based NARMA-L2 controller for nonlinear dynamic systems. Eng Appl Artif Intell 62:265–275CrossRef
15.
Zurück zum Zitat Yang Y, Xiang C, Gao SH, Lee TH (2018) Data-driven identification and control of nonlinear systems using multiple NARMA-L2 models. Int J Robust Nonlinear Control 28(12):3806–3833 Special Issue: SIMathSciNetCrossRef Yang Y, Xiang C, Gao SH, Lee TH (2018) Data-driven identification and control of nonlinear systems using multiple NARMA-L2 models. Int J Robust Nonlinear Control 28(12):3806–3833 Special Issue: SIMathSciNetCrossRef
17.
Zurück zum Zitat Uçak K, Günel GÖ (2016) A novel adaptive NARMA-L2 controller based on online support vector regression for nonlinear systems. Neural Process Lett 44(3):857–886CrossRef Uçak K, Günel GÖ (2016) A novel adaptive NARMA-L2 controller based on online support vector regression for nonlinear systems. Neural Process Lett 44(3):857–886CrossRef
18.
Zurück zum Zitat Şen GD, Günel GÖ (2019) A NARMA-L2 controller based on online LSSVR for nonlinear systems. In: 15th european workshop on advanced control and diagnosis Şen GD, Günel GÖ (2019) A NARMA-L2 controller based on online LSSVR for nonlinear systems. In: 15th european workshop on advanced control and diagnosis
19.
Zurück zum Zitat Wanfeng S, Shengdun Z, Yajing S (2008) Adaptive PID controller based on online LSSVM identification. in: IEEE/ASME international conference on advanced intelligent mechatronics (AIM 2008). Xian, China Wanfeng S, Shengdun Z, Yajing S (2008) Adaptive PID controller based on online LSSVM identification. in: IEEE/ASME international conference on advanced intelligent mechatronics (AIM 2008). Xian, China
20.
Zurück zum Zitat Zhao J, Li P, Wang Xs (2009) Intelligent PID controller design with adaptive criterion adjustment via least squares support vector machine. In: 21st chinese control and decision conference (CCDC 2009). Guilin, China Zhao J, Li P, Wang Xs (2009) Intelligent PID controller design with adaptive criterion adjustment via least squares support vector machine. In: 21st chinese control and decision conference (CCDC 2009). Guilin, China
22.
Zurück zum Zitat Iplikci S (2010) A comparative study on a novel model-based PID tuning and control mechanism for nonlinear systems. Int J Robust Nonlinear Control 20(13):1483–1501MathSciNetCrossRef Iplikci S (2010) A comparative study on a novel model-based PID tuning and control mechanism for nonlinear systems. Int J Robust Nonlinear Control 20(13):1483–1501MathSciNetCrossRef
23.
Zurück zum Zitat Takao K, Yamamoto T, Hinamoto T, (2006) A Design of PID Controllers with a Switching Structure by a Support Vector Machine. In: IEEE International Joint Conference on Neural Network (IJCNN). Vancouver, Canada Takao K, Yamamoto T, Hinamoto T, (2006) A Design of PID Controllers with a Switching Structure by a Support Vector Machine. In: IEEE International Joint Conference on Neural Network (IJCNN). Vancouver, Canada
24.
Zurück zum Zitat Liu X, Yi J, Zhao D (2005) Adaptive inverse control system based on least squares support vector machines. In: 2nd international symposium on neural networks (ISNN 2005). Chongqing, China Liu X, Yi J, Zhao D (2005) Adaptive inverse control system based on least squares support vector machines. In: 2nd international symposium on neural networks (ISNN 2005). Chongqing, China
27.
Zurück zum Zitat Zhao ZC, Liu ZY, Xia ZM, Zhang JG (2012) Internal model control based on LS-SVM for a class of nonlinear process. In: International conference on solid state devices and materials science (SSDMS). Macao, China Zhao ZC, Liu ZY, Xia ZM, Zhang JG (2012) Internal model control based on LS-SVM for a class of nonlinear process. In: International conference on solid state devices and materials science (SSDMS). Macao, China
28.
Zurück zum Zitat Zhong WM, Pi DY, Sun YX, Xu C, Chu SZ (2006) SVM based internal model control for nonlinear systems. In: 3rd international symposium on neural networks (ISNN 2006). Chengdu, China Zhong WM, Pi DY, Sun YX, Xu C, Chu SZ (2006) SVM based internal model control for nonlinear systems. In: 3rd international symposium on neural networks (ISNN 2006). Chengdu, China
29.
Zurück zum Zitat Sun CY, Song JY (2007) An adaptive internal model control based on ls-svm. In: International symposium on neural networks (ISNN 2007). Nanjing, China Sun CY, Song JY (2007) An adaptive internal model control based on ls-svm. In: International symposium on neural networks (ISNN 2007). Nanjing, China
33.
Zurück zum Zitat Zhiying D, Xianfang W (2008) Nonlinear generalized predictive control based on online SVR. In: 2nd international symposium on intelligent information technology application. Shanghai, China Zhiying D, Xianfang W (2008) Nonlinear generalized predictive control based on online SVR. In: 2nd international symposium on intelligent information technology application. Shanghai, China
35.
Zurück zum Zitat Wang DS, Shen JJ, Zhu SH, Jiang GP (2020) Model predictive control for chlorine dosing of drinking water treatment based on support vector machine model. Desalin Water Treat 173:133–141CrossRef Wang DS, Shen JJ, Zhu SH, Jiang GP (2020) Model predictive control for chlorine dosing of drinking water treatment based on support vector machine model. Desalin Water Treat 173:133–141CrossRef
36.
Zurück zum Zitat Pourjafari E, Reformat M (2019) A support vector regression based model predictive control for volt-var optimization of distribution systems. IEEE Access 7:93352–93363CrossRef Pourjafari E, Reformat M (2019) A support vector regression based model predictive control for volt-var optimization of distribution systems. IEEE Access 7:93352–93363CrossRef
37.
Zurück zum Zitat Uçak K, Günel GÖ (2016) An adaptive support vector regressor controller for nonlinear systems. Soft Comput 20(7):2531–2556CrossRef Uçak K, Günel GÖ (2016) An adaptive support vector regressor controller for nonlinear systems. Soft Comput 20(7):2531–2556CrossRef
38.
Zurück zum Zitat Uçak K, Günel GÖ (2017) Generalized self-tuning regulator based on online support vector regression. Neural Comput Appl 28:S775–S801CrossRef Uçak K, Günel GÖ (2017) Generalized self-tuning regulator based on online support vector regression. Neural Comput Appl 28:S775–S801CrossRef
39.
Zurück zum Zitat Uçak K, Günel GÖ (2019) Model free adaptive support vector regressor controller for nonlinear systems. Eng Appl Artif Intell 81:47–67CrossRef Uçak K, Günel GÖ (2019) Model free adaptive support vector regressor controller for nonlinear systems. Eng Appl Artif Intell 81:47–67CrossRef
40.
Zurück zum Zitat Uçak K, Günel GÖ (2020) An adaptive sliding mode controller based on online support vector regression for nonlinear systems. Soft Comput 24(6):4623–4643CrossRef Uçak K, Günel GÖ (2020) An adaptive sliding mode controller based on online support vector regression for nonlinear systems. Soft Comput 24(6):4623–4643CrossRef
41.
Zurück zum Zitat Ma J, Theiler J, Perkins S (2003) Accurate online support vector regression. Neural Comput 15(11):2683–2703CrossRef Ma J, Theiler J, Perkins S (2003) Accurate online support vector regression. Neural Comput 15(11):2683–2703CrossRef
42.
Zurück zum Zitat Wang X, Du Z, Chen Z, Pan F (2009) Dynamic modeling of biotechnical process based on online support vector machine. J Comput 4(3):251–258 Wang X, Du Z, Chen Z, Pan F (2009) Dynamic modeling of biotechnical process based on online support vector machine. J Comput 4(3):251–258
43.
Zurück zum Zitat Uçak K, Üstoğlu İ, Günel GÖ (2018) Safety-critical support vector regressor controller for nonlinear systems. Neural Process Lett 48:419–440CrossRef Uçak K, Üstoğlu İ, Günel GÖ (2018) Safety-critical support vector regressor controller for nonlinear systems. Neural Process Lett 48:419–440CrossRef
44.
Zurück zum Zitat Uçak K (2016) Support vector regression based controller design methods for nonlinear systems. Dissertation, Istanbul Technical University Uçak K (2016) Support vector regression based controller design methods for nonlinear systems. Dissertation, Istanbul Technical University
45.
Zurück zum Zitat Mario M (2002) On-Line Support Vector Machine Regression. In: 13th european conference on machine learning (ECML 2002). Helsinki, Finland Mario M (2002) On-Line Support Vector Machine Regression. In: 13th european conference on machine learning (ECML 2002). Helsinki, Finland
46.
Zurück zum Zitat Kravaris C, Palanki S (1988) Robust nonlinear state feedback under structured uncertainty. AIChE J 34(7):1119–1127MathSciNetCrossRef Kravaris C, Palanki S (1988) Robust nonlinear state feedback under structured uncertainty. AIChE J 34(7):1119–1127MathSciNetCrossRef
47.
Zurück zum Zitat Wu W, Chou YS (1999) Adaptive feedforward and feedback control of non-linear time-varying uncertain systems. Int J Control 72(12):1127–1138MathSciNetCrossRef Wu W, Chou YS (1999) Adaptive feedforward and feedback control of non-linear time-varying uncertain systems. Int J Control 72(12):1127–1138MathSciNetCrossRef
48.
Zurück zum Zitat Levenspiel O (1999) Chemical reaction engineering. Wiley, USA Levenspiel O (1999) Chemical reaction engineering. Wiley, USA
49.
Zurück zum Zitat Fogler HS (2006) Elements of reaction engineering. Pearson Education, London Fogler HS (2006) Elements of reaction engineering. Pearson Education, London
50.
Zurück zum Zitat Ungar LH (1990) Neural networks for control. In: Miller III WT, Werbos PJ (eds) A bioreactor benchmark for adaptive network based process control. MIT Press, USA, Sutton RS, pp 387–402 Ungar LH (1990) Neural networks for control. In: Miller III WT, Werbos PJ (eds) A bioreactor benchmark for adaptive network based process control. MIT Press, USA, Sutton RS, pp 387–402
Metadaten
Titel
Online Support Vector Regression Based Adaptive NARMA-L2 Controller for Nonlinear Systems
Publikationsdatum
02.01.2021
Erschienen in
Neural Processing Letters / Ausgabe 1/2021
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-020-10403-8

Weitere Artikel der Ausgabe 1/2021

Neural Processing Letters 1/2021 Zur Ausgabe

Neuer Inhalt