Skip to main content
SpringerLink
Log in
Book cover

International Conference on Swarm, Evolutionary, and Memetic Computing

SEMCCO 2012: Swarm, Evolutionary, and Memetic Computing pp 519–527Cite as

2DOF PID Controller Tuning for Unstable Systems Using Bacterial Foraging Algorithm

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7677))

Abstract

In this paper, a method to tune the two Degree Of Freedom PID controller for a class of time delayed unstable systems using Bacterial Foraging Optimization algorithm is proposed. In this algorithm, limits are assigned for the algorithm and search parameters to minimize the convergence time during the optimization exploration. The problem considered in this study is to aptly tune the controller in order to enhance the overall closed loop performance of the time delayed unstable process. The BFO algorithm is focused to search the best possible controller parameter values such as ‘K p , K i , K d ’ and controller weighting parameters‘α, β’ by minimizing the multiple objective function which monitor the optimization search. A comparative study is presented between the feed forward and the feedback 2DOF PID structures. The robustness of the BFO tuned 2DOF PID controller is tested by introducing model uncertainty in the process model parameters. The simulation results evident that, the proposed procedure helps to accomplish enhanced system performance such as smooth reference tracking, satisfactory disturbance rejection, and error minimization for a class of unstable systems.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Liu, T., Zhang, W., Gu, D.: Analytical design of two-degree-of-freedom control scheme for open-loop unstable processes with time delay. Journal of Process Control 15, 559–572 (2005)

    Article  Google Scholar 

  2. Chen, C.-C., Huang, H.-P., Liaw, H.-J.: Set-Point Weighted PID Controller Tuning for Time-Delayed Unstable Processes. Ind. Eng. Chem. Res. 47(18), 6983–6990 (2008)

    Article  Google Scholar 

  3. Vijayan, V., Panda, R.C.: Design of a simple setpoint filter for minimizing overshoot for low order processes. ISA Trans. 51(4), 514–521 (2012), doi:10.1016/j.isatra.2011.10.006

    Google Scholar 

  4. Araki, M., Taguchi, H.: Two-Degree-of-Freedom PID Controllers. International Journal of Control, Automation, and Systems 1(4), 401–411 (2003)

    Google Scholar 

  5. Padhy, P.K., Majhi, S.: Relay based PI-PD design for stable and unstable FOPDT processes. Computers and Chemical Engineering 30, 790–796 (2006)

    Article  Google Scholar 

  6. Passino, K.M.: Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Systems Magazine, 52–67 (2002)

    Google Scholar 

  7. Dasgupta, S., Das, S., Biswas, A., Abraham, A.: Automatic circle detection on digital images with an adaptive bacterial foraging algorithm. Soft. Comput. 14(11), 1151–1164 (2010)

    Article  Google Scholar 

  8. Rajinikanth, V., Latha, K.: Bacterial Foraging Optimization Algorithm based PID controller tuning for Time Delayed Unstable System. The Mediterranean Journal of Measurement and Control 7(1), 197–203 (2011)

    Google Scholar 

  9. Rajinikanth, V., Latha, K.: I-PD Controller Tuning for Unstable System Using Bacterial Foraging Algorithm: A Study Based on Various Error Criterion. Applied Computational Intelligence and Soft Computing (2012), doi:10.1155/2012/329389

    Google Scholar 

  10. Chen, H., Zhu, Y., Hu, K.: Cooperative Bacterial Foraging Optimization. Discrete Dynamics in Nature and Society (2009), doi:10.1155/2009/815247

    Google Scholar 

  11. Dasgupta, S., Das, S., Abraham, A., Biswas, A.: Adaptive Computational Chemotaxis in Bacterial Foraging Optimization: An Analysis. IEEE Trans. Evolutionary Computation 13(4), 919–941 (2009)

    Article  Google Scholar 

  12. Das, S., Biswas, A., Dasgupta, S., Abraham, A.: Bacterial Foraging Optimization Algorithm: Theoretical Foundations, Analysis, and Applications. Foundations of Computational Intelligence (3), 23–55 (2009)

    Google Scholar 

  13. Biswas, A., Das, S., Abraham, A., Dasgupta, S.: Stability analysis of the reproduction operator in bacterial foraging optimization. Theor. Comput. Sci. 411(21), 2127–2139 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Johnson, M.A., Moradi, M.H.: PID Control: New Identification and Design Methods. Springer-Verlag London Limited (2005)

    Google Scholar 

  15. Panigrahi, B.K., Ravikumar Pandi, V.: Congestion management using adaptive bacterial foraging algorithm. International Journal on Energy Conversion and Management 50, 1202–1209 (2009)

    Article  Google Scholar 

  16. Pandi, V.R., Biswas, A., Dasgupta, S., Panigrahi, B.K.: A hybrid bacterial foraging and differential evolution algorithm for congestion management. Euro. Trans. Electr. Power 20, 862–871 (2010), doi:10.1002/etep.368

    Google Scholar 

  17. Rajinikanth, V., Latha, K.: Controller Parameter Optimization for Nonlinear Systems Using Enhanced Bacteria Foraging Algorithm. Applied Computational Intelligence and Soft Computing (2012), doi:10.1155/2012/214264

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Instrumentation Engineering, M.I.T. Campus, Anna University, Chennai, Tamilnadu, India

    K. Latha

  2. Department of Electronics and Instrumentation, St. Joseph’s College of Engineering, Jeppiaar Nagar, Chennai, Tamilnadu, India

    V. Rajinikanth

Authors
  1. K. Latha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Rajinikanth
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, 110016, Delhi, India

    Bijaya Ketan Panigrahi

  2. Electronics and Communication Sciences Unit, Indian Statistical Institute, 700108, Kolkata, India

    Swagatam Das

  3. School of Electrical and Electronic Engineering, Nanyang Technological University, Block N4, 2b-39, Nanyang Avenue, 639798, Singapore, Singapore

    Ponnuthurai Nagaratnam Suganthan

  4. Department of Electronics and Telecom. Engineering, Institute of Technical Education & Research, Siksha ’O’ Anusandhan University, 751030, Bhubaneswar, Odisha, India

    Pradipta Kumar Nanda

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Latha, K., Rajinikanth, V. (2012). 2DOF PID Controller Tuning for Unstable Systems Using Bacterial Foraging Algorithm. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Nanda, P.K. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2012. Lecture Notes in Computer Science, vol 7677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35380-2_61

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35380-2_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35379-6

  • Online ISBN: 978-3-642-35380-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation