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Design of internal model control based fractional order PID controller

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Abstract

This article presents a design of the internal model control (IMC) based single degree of freedom (SDF) fractional order (FO) PID controller with a desired bandwidth specification for a class of fractional order system (FOS). The drawbacks of the SDF FO-IMC are eliminated with the help of the two-degree of freedom (TDF) FO PID controller. The robust stability and robust performance of the designed controller are analyzed using an example.

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Authors and Affiliations

  1. Department of Instrumentation and Control Engineering, National Institute of Technology, Tiruchirappalli, 620015, India

    T. Vinopraba, N. Sivakumaran & S. Narayanan

  2. Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli, 620015, India

    T. K. Radhakrishnan

Authors
  1. T. Vinopraba
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  2. N. Sivakumaran
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  3. S. Narayanan
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  4. T. K. Radhakrishnan
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Corresponding author

Correspondence to T. Vinopraba.

Additional information

T. VINOPRABA received the B.E. degree in Electronics and Instrumentation Engineering from Annamalai University, Chidambaram, in 2006, M.E. degree in Process Control and Instrumentation Engineering from Annamalai University in 2008, and currently she is pursuing her Ph.D. in National Institute of Technology, Trichy. Her research interests include fractional order controller, controller design for chemical and biomedical systems.

N. SIVAKUMARAN received the B.E degree in Electronics and Instrumentation Engineering from Bharathidasan University, Trichy, in 1999, M.E. degree in Process Control and Instrumentation Engineering from Annamalai University in 2002 and Ph.D. from National Institute of Technology, Trichy, in 2007. His research interests include system identification, intelligent systems, controller design for chemical and biomedical systems. He is the recipient of the AICTE-National Doctoral Fellowship for the year 2004–2006. He has research grant from DST, MHRD, CDAC, Government of India. He has teaching experience of 8 years.

S. NARAYANAN received the B.E. degree in Electronics and Instrumentation Engineering from Annamalai University, Chidambaram, and M.E. degree in Instrumentation Engineering from MIT, Anna University, Chennai. He completed his Ph.D. from MIT, Anna University, Chennai. He is currently working as Assistant Professor in the Department of Instrumentation and Control Engineering, National Institute of Technology, Trichy. His research interests include PID control design and control engineering.

T. K. RADHAKRISHNAN received his B.E. degree in Chemical Engineering from Annamalai University and M.Tech. degree from Indian Institute of Technology, Chennai, India. After his graduate program he joined Indian Institute of Chemical Technology, Hyderabad in the Simulation, Optimization and Control Group. He later moved to Regional Engineering College, Tiruchirappalli and received Ph.D. He is currently working in National Institute of Technology, Tiruchirappalli as Professor and Head of Chemical Engineering Department. His interests include process control, process modeling and soft computing.

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Vinopraba, T., Sivakumaran, N., Narayanan, S. et al. Design of internal model control based fractional order PID controller. J. Control Theory Appl. 10, 297–302 (2012). https://doi.org/10.1007/s11768-012-1044-4

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  • DOI: https://doi.org/10.1007/s11768-012-1044-4

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