Skip to main content

2016 | OriginalPaper | Buchkapitel

Fractional Filter Based Internal Model Controller for Non Linear Process

verfasst von : P. Anbumalar, C. Barath Kanna, J. Janani

Erschienen in: Computational Intelligence, Cyber Security and Computational Models

Verlag: Springer Singapore

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

search-config
loading …

Abstract

Recently, fractional calculus found its applications in the field of process automation. Here the mathematical perspectives of fractional property are utilized to control the process. This article presents a design of fractional filter based internal model controller (IMC) for the nonlinear process. The process chosen is pH process plays significant role in the industrial applications. Control of pH process is highly challenging due to its severe nonlinear characteristics and process uncertainty as echoed in the titration curve. An attempt has been made to design the fractional filter based IMC controller for pH process based on desired phase margin and cross over frequency using MATLAB-SIMULINK. Here Oustaloup approximation technique is used to approximate the Fractional filter. Servo and regulatory performance of the process are analyzed and reflects that better control actions are achieved by the fractional filter based IMC through simulation and it is found to be satisfied.

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
1.
Zurück zum Zitat Astrom, K.J., Hagglund, T.: Advanced PID control. ISA (2006) Astrom, K.J., Hagglund, T.: Advanced PID control. ISA (2006)
2.
Zurück zum Zitat Xue, D., Petras, I., Chen, Y.: Fractional order control—a tutorial. In: American Control Conference Hyatt Regency Riverfront, St. Louis, Mo, USA, 10–12 June 2009 Xue, D., Petras, I., Chen, Y.: Fractional order control—a tutorial. In: American Control Conference Hyatt Regency Riverfront, St. Louis, Mo, USA, 10–12 June 2009
3.
Zurück zum Zitat Cervera, Banos, A., Monje, C.A., et al.: Tuning of fractional PID using QFT. In: Proceedings of 32nd IEEE Conference on Industrial Electronics, Paris, IEEE, pp. 5402–5407 (2006) Cervera, Banos, A., Monje, C.A., et al.: Tuning of fractional PID using QFT. In: Proceedings of 32nd IEEE Conference on Industrial Electronics, Paris, IEEE, pp. 5402–5407 (2006)
4.
Zurück zum Zitat Chen, Y., Bhaskaran, T., Xue, D.: Practical tuning rule development for fractional order proportional and derivative controllers. J. Comput. Nonlinear Dyn. pp. 021403.1–021403.8 (2008) Chen, Y., Bhaskaran, T., Xue, D.: Practical tuning rule development for fractional order proportional and derivative controllers. J. Comput. Nonlinear Dyn. pp. 021403.1–021403.8 (2008)
5.
Zurück zum Zitat Li, H., Chen, Y.: A fractional order proportional and derivative (Fopd) controller tuning algorithm. In: Proceedings of 47th IEEE Conference on Control and Decision, Mexico, IEEE, pp. 4059–4063 (2008) Li, H., Chen, Y.: A fractional order proportional and derivative (Fopd) controller tuning algorithm. In: Proceedings of 47th IEEE Conference on Control and Decision, Mexico, IEEE, pp. 4059–4063 (2008)
6.
Zurück zum Zitat Maione, G., Lino, P.: New tuning rules for fractional Pi® controllers. Nonlinear Dyn. 49(1/2), 251–257 (2007)CrossRefMATH Maione, G., Lino, P.: New tuning rules for fractional Pi® controllers. Nonlinear Dyn. 49(1/2), 251–257 (2007)CrossRefMATH
7.
Zurück zum Zitat Monje, C.A., Vinagre, B.M., Feliu, V., et al.: Tuning and auto tuning of fractional order controllers for industry applications. Control Eng. Pract. 16(7), 798–812 (2008)CrossRef Monje, C.A., Vinagre, B.M., Feliu, V., et al.: Tuning and auto tuning of fractional order controllers for industry applications. Control Eng. Pract. 16(7), 798–812 (2008)CrossRef
8.
Zurück zum Zitat Valerio, D., Da Costa, J.S.: Tuning of fractional PID controllers with Ziegler-Nichols-type rules. Sig. Process. 86(10), 2771–2784 (2006)CrossRefMATH Valerio, D., Da Costa, J.S.: Tuning of fractional PID controllers with Ziegler-Nichols-type rules. Sig. Process. 86(10), 2771–2784 (2006)CrossRefMATH
9.
Zurück zum Zitat Yi, C., Liang, J., Gang, C.: Optimization of fractional order PID controllers based on genetic algorithms. In: Proceedings of 4th IEEE Conference on Machine Learning and Cybernetics, Guangzhou: IEEE, pp. 5686–5689 (2005) Yi, C., Liang, J., Gang, C.: Optimization of fractional order PID controllers based on genetic algorithms. In: Proceedings of 4th IEEE Conference on Machine Learning and Cybernetics, Guangzhou: IEEE, pp. 5686–5689 (2005)
10.
Zurück zum Zitat Yi, C., Gang, C.: Design of fractional order controllers based on particle swarm optimization. In: Proceedings of 1st IEEE Conference on Industrial Electronics and Applications, Singapore, IEEE, pp. 5402–5407 (2006) Yi, C., Gang, C.: Design of fractional order controllers based on particle swarm optimization. In: Proceedings of 1st IEEE Conference on Industrial Electronics and Applications, Singapore, IEEE, pp. 5402–5407 (2006)
11.
Zurück zum Zitat Luo, Y., Chen, Y.: Fractional order proportional derivative controller for a class of fractional order systems. Automatica 45(10), 2446–2450 (2009)CrossRefMathSciNetMATH Luo, Y., Chen, Y.: Fractional order proportional derivative controller for a class of fractional order systems. Automatica 45(10), 2446–2450 (2009)CrossRefMathSciNetMATH
12.
Zurück zum Zitat Zhao, C., Xue, D., Chen, Y.: A fractional order PID tuning algorithm for a class of fractional order plants. In: Proceedings of IEEE Conference on Mechatronics and Automation, Canada, IEEE, pp. 216–221 (2005) Zhao, C., Xue, D., Chen, Y.: A fractional order PID tuning algorithm for a class of fractional order plants. In: Proceedings of IEEE Conference on Mechatronics and Automation, Canada, IEEE, pp. 216–221 (2005)
13.
Zurück zum Zitat Shahri, M.E., Balochian, S., Balochian, H., Zhang, Y.: Design of fractional order PID controllers for time delay systems using differential evolution algorithm. Indian J. Sci. Technol. 7(9), 1307–1315, Sept 2014. ISSN (Print): 0974–6846 Shahri, M.E., Balochian, S., Balochian, H., Zhang, Y.: Design of fractional order PID controllers for time delay systems using differential evolution algorithm. Indian J. Sci. Technol. 7(9), 1307–1315, Sept 2014. ISSN (Print): 0974–6846
14.
Zurück zum Zitat Zhao, C., Xue, D.: A fractional order pid tuning algorithm for a class of fractional order plants. In: IEEE Transactions, July 2005 Zhao, C., Xue, D.: A fractional order pid tuning algorithm for a class of fractional order plants. In: IEEE Transactions, July 2005
15.
Zurück zum Zitat Li, H., Luo, Y., Chen, Y.: A fractional order proportional and derivative (FOPD) motion controller. In: IEEE Transactions on Control Systems Technology (2009) Li, H., Luo, Y., Chen, Y.: A fractional order proportional and derivative (FOPD) motion controller. In: IEEE Transactions on Control Systems Technology (2009)
16.
Zurück zum Zitat Li, H., QuanChen, Y. Fractional order proportional and derivative (FOPD) controller tuning algorithm. IEEE Transactions on (2008) Li, H., QuanChen, Y. Fractional order proportional and derivative (FOPD) controller tuning algorithm. IEEE Transactions on (2008)
17.
Zurück zum Zitat Zhao, C., Xue, D.: Closed-form solutions to fractional-order linear differential equations. Front. Electron. Eng. China 2008:214–217 Zhao, C., Xue, D.: Closed-form solutions to fractional-order linear differential equations. Front. Electron. Eng. China 2008:214–217
18.
Zurück zum Zitat Monje, L.A., Feliu, V.: The fractional order lead compensator. In: Proceedings of 2nd IEEE Conference on Computational Cybernetics, Vienna, pp. 347–352 (2004) Monje, L.A., Feliu, V.: The fractional order lead compensator. In: Proceedings of 2nd IEEE Conference on Computational Cybernetics, Vienna, pp. 347–352 (2004)
19.
Zurück zum Zitat Maiti, D., Chakraborty, M., Acharya, A. et al.: Design of Fractional order Self Tuning Regulator Using Optimization Algorithm. In: Proceedings of 2nd IEEE Conference on Computer and Information Technology, Singapore, IEEE, pp. 470–475 (2008) Maiti, D., Chakraborty, M., Acharya, A. et al.: Design of Fractional order Self Tuning Regulator Using Optimization Algorithm. In: Proceedings of 2nd IEEE Conference on Computer and Information Technology, Singapore, IEEE, pp. 470–475 (2008)
20.
Zurück zum Zitat Ladaci, S., Charef, A.: Model reference adaptive control with fractional derivative. In: Proceedings of International Conference on Tele-Communication Systems, Medical Electronics and Automation, Algeria (2003) Ladaci, S., Charef, A.: Model reference adaptive control with fractional derivative. In: Proceedings of International Conference on Tele-Communication Systems, Medical Electronics and Automation, Algeria (2003)
21.
Zurück zum Zitat Ladaci, S., Loiseau, J.J., Charef, A.: Fractional order adaptive high gain controllers for a class of linear systems. Commun. Nonlinear Sci. Numer. Simul. 13(4), 707–714 (2008)CrossRefMathSciNetMATH Ladaci, S., Loiseau, J.J., Charef, A.: Fractional order adaptive high gain controllers for a class of linear systems. Commun. Nonlinear Sci. Numer. Simul. 13(4), 707–714 (2008)CrossRefMathSciNetMATH
22.
Zurück zum Zitat Delvari, H., Ghaderi, R., Ranjbar, A., et al.: Fuzzy fractional order sliding mode controller for non linear systems. Commun. Innonlinear Sci. Numer. Simul. 15(4), 963–978 (2010)CrossRef Delvari, H., Ghaderi, R., Ranjbar, A., et al.: Fuzzy fractional order sliding mode controller for non linear systems. Commun. Innonlinear Sci. Numer. Simul. 15(4), 963–978 (2010)CrossRef
23.
Zurück zum Zitat Hamamci, S.E., Koksal, M.: Calculation of all stabilizing fractional order PD controllers for integrating time delay systems. Comput. Math Appl. 59(5), 1621–1629 (2010)CrossRefMathSciNetMATH Hamamci, S.E., Koksal, M.: Calculation of all stabilizing fractional order PD controllers for integrating time delay systems. Comput. Math Appl. 59(5), 1621–1629 (2010)CrossRefMathSciNetMATH
24.
Zurück zum Zitat Vino Praba, T., Sivakumaran, N., Selvaganesan, N.: Stabilization using fractional order PID® controllers for first order time delay system. In: Proceedings of International Conference on Advances in Computing Control and Telecommunication Technologies, Kerala Vino Praba, T., Sivakumaran, N., Selvaganesan, N.: Stabilization using fractional order PID® controllers for first order time delay system. In: Proceedings of International Conference on Advances in Computing Control and Telecommunication Technologies, Kerala
25.
Zurück zum Zitat Vinopraba, T., Sivakumaran, N., Narayanan, S., Radhakrishnan, T.K.: Design of internal model control based fractional order PID controller. J. Control Theory Appl. 10(3), 297–302 (2012)CrossRefMathSciNetMATH Vinopraba, T., Sivakumaran, N., Narayanan, S., Radhakrishnan, T.K.: Design of internal model control based fractional order PID controller. J. Control Theory Appl. 10(3), 297–302 (2012)CrossRefMathSciNetMATH
26.
Zurück zum Zitat Maâmar, B., Rachid, M.: IMC-PID-fractional-order-filter controllers design for integer order systems. In: ISA Transactions, pp. 1620–1628 (2014) Maâmar, B., Rachid, M.: IMC-PID-fractional-order-filter controllers design for integer order systems. In: ISA Transactions, pp. 1620–1628 (2014)
27.
Zurück zum Zitat McAvoy, T.J., Hsu, E., Lowenthals, S.: Dynamics of pH in controlled stirred tank reactor. Ind. Eng. Chem. Process. Des. Develop. 11(1), 68–78 (1972)CrossRef McAvoy, T.J., Hsu, E., Lowenthals, S.: Dynamics of pH in controlled stirred tank reactor. Ind. Eng. Chem. Process. Des. Develop. 11(1), 68–78 (1972)CrossRef
Metadaten
Titel
Fractional Filter Based Internal Model Controller for Non Linear Process
verfasst von
P. Anbumalar
C. Barath Kanna
J. Janani
Copyright-Jahr
2016
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-0251-9_52