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Home»Articles»Performance Evaluation of Nonlinear PI Controller on the Laboratory Type Spherical Tank Process

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Asian Journal of Electrical Sciences (AJES)

Editor Dr. Koray Ulgen
Print ISSN : 2249 - 6297
Frequency : Quarterly

Performance Evaluation of Nonlinear PI Controller on the Laboratory Type Spherical Tank Process

Author : T. Bhuvanendhiran and S. Abraham Lincon
Volume 8 No.2 April-June 2019 pp 16-20

Abstract

In this paper, the implementation of Nonlinear PI controller based on error square type is designed and adopted to control of level in a spherical tank process. By use of black box model the system is found as a First order plus Dead Time model (FOPDT). Then the controller tuning strategies has been adopted namely Direct synthesis (IMC), Skogestad (IMC PI), and Nonlinear PI (error square type) tuning. Among all the three controllers tuning the error square type based Nonlinear PI tuning method shows better control performance than the other two controller tuning in terms of performance indices like Integral Square Error (ISE), Integral Absolute Error (IAE) and Time domain specifications.

Keywords

Nonlinear PI, Direct Synthesis IMC PI, Nonlinear Process, SIMC, System Identification

Full Text:

References

[1] K.J. Astrom, and T. Hagglund, “Advanced PID Control”, ISA-The Instrumentation Systems and Automation Society,2006.
[2] B. Armstrong, D. Neevel, and T. Kusik, “New Results in NPID control: tracking, Integral Control, friction compensation and experimental results”, IEEE Trans. Control Syst. Technol., Vol. 9, No. 2, pp. 399-406, 2001.
[3] B. Armstrong, and B. A. Wade, “Nonlinear PID control with partial state knowledge: damping without derivatives”, Int.J. Robotics Research, Vol. 19, No.8, pp. 715-731, 2000.
[4] W. H. Chen, D. J. Balance, P.J. Gawthrop, J. J. Gribble, and J.O.Reilly, “Nonlinear PID predicitive controller”, IEE Proc. Control Theory Appl., Vol. 146, No.6, pp. 603-611, 1999.
[5] J.Q. Han, “Nonlinear PID controller”, Acta Autoatica Sinica, Vol. 20, No. 4, pp. 487-490, 1994.
[6] W. Wang, J.T. Zhang, and T.Y. Chai, “A survey of advanced PID parameter tuning methods”, Acta Automatica Sinica, Vol. 26, No. 3, pp. 347-355, 2000.
[7] M. Ge, M. S. Chiu, and Q. G. Wang, “Robust PID controller design via LMI approach”, J. Process Contr.,Vol. 1,No. 12, pp. 3-13, 2002.
[8] A. Visioli, “A new design plus for a feedforward controller”, J. Process. Contr., Vol. 14, pp. 457-463, 2004.
[9] K. Astrom and T. Hagglund, “Revisiting the Ziegler-Nicholos step Response method for PID control”, J. Process Control. Vol.14, pp. 635-650, 2004.
[10] R.Toscano, “A simple PI/PID controller design method via numerical optimization approach”, J. Process Control., Vol. 15, pp. 81-88, 2005.
[11] S. Nithya, N.Sivakumaran, T. Balasubramanian and N. Anantharaman, “ IMC Based Controller design for a spherical tank process in real time”, National conference in Advanced Techniques in Instrumentation Control and Communication Engineering, 2008, pp. 173-178.
[12] Ben Joe Raj, and P. Subha Hency Jose, “Fuzzy Logic Based PID Controller for a Non Linear Spherical Tank System”, IJERT, Vol. 3, No.2, pp. 1867-1870, 2014.
[13] S. Ramesh, and S. Abraham Lincon, “Fuzzy Model Based Learning Control for Spherical Tank Process”, Int. J. Engineering Research and Applications, Vol. 3, No. 6, pp. 619-623, 2013.
[14] T. Bhuvanendhiran, S. Abraham Lincon, I. Thirunavukkarrasu and Sarath Yadav, “Nonlinear Control Design for a Nonlinear Process-an Experimental Approach”, J. Advanced Research in Dynamical and Control Systems, Vol. 10, No.7, pp. 1557-1562, 2018.
[15] A. Ganesh Ram, and S. Abraham Lincon, “Real Time Implementation of Fuzzy Based Adaptive PI Controller for a Spherical Tank System”, IJSSST, Vol.14, No.6, pp. 1-8, 2013.

Asian Journal of Electrical Sciences (AJES) is a quarterly international peer-reviewed journal of Electrical Sciences. One of the objectives of this journal is to disseminate knowledge on various research issues connected with the topics include, but are not limited to:

Telecommunications – transmission of information, coax cable, optical fiber or free space, amplitude modulation and frequency modulation, transmitters and receivers, transceiver.
Instrumentation – pressure, flow and temperature, electromagnetic theory, thermocouples, sensors of larger electrical systems, control engineering.
Computers – Computers and computer systems, hardware, software, software engineering.

Power engineering – generation, transmission and distribution of electricity, transformers, electric generators, electric motors, high voltage engineering and power electronics.
Control engineering – dynamic systems, design of controllers, electrical circuits, digital signal processors, microcontrollers and PLCs (Programmable Logic Controllers), industrial automation. Electronic Engineering -Electronic circuits, resistors, capacitors, inductors, diodes and transistors, radio engineering, radar, television, audio systems, computers and microprocessors.
Microelectronics – Electronic circuit, integrated circuit, semiconductor transistors, resistors, capacitors, inductors, Nanoelectronics.

Signal processing – signals, analog, digital, telecommunications, Digital Signal Processing, SDTV | HDTV sets, radios and mobile communication devices, Hi-Fi audio equipments, Dolby noise reduction algorithms, GSM mobile phones, mp3 multimedia players, camcorders and digital cameras, automobile control systems, noise cancelling headphones, digital spectrum analyzers, intelligent missile guidance, radar, GPS based cruise control systems, image processing, video processing, audio processing and speech processing systems.

In this paper, the implementation of Nonlinear PI controller based on error square type is designed and adopted to control of level in a spherical tank process. By use of black box model the system is found as a First order plus Dead Time model (FOPDT). Then the controller tuning strategies has been adopted namely Direct synthesis (IMC), Skogestad (IMC PI), and Nonlinear PI (error square type) tuning. Among all the three controllers tuning the error square type based Nonlinear PI tuning method shows better control performance than the other two controller tuning in terms of performance indices like Integral Square Error (ISE), Integral Absolute Error (IAE) and Time domain specifications.

Editor-in-Chief
Dr. Koray Ulgen
Department of energy engineering, Ege University, Turkey
[email protected]
Editorial Advisory Board
Dr. Rasyidah Binti Mohamad Idris
Department of Electrical Power Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Norhaliza Abdul Wahab
Department of Control & Mechatronics Engineering, Universiti Teknologi Malaysia
[email protected]
Prof. Md Irfan Ahmed
Department of Electrical Engineering, Career Point University, Rajasthan, India
[email protected]
Dr. Sallehuddin Bin Ibrahim
Department of Control And Mechatronics Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Naziha bt. Ahmad Azli
Department of Electrical Power Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Sharul Kamal Bin Abdul Rahim
Department of Communication Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Jasrul Jamani Bin Jamian
Department of Electrical Power Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. T. Rajesh
Department of EEE, INFO Institute of Engineering, Coimbatore, India
[email protected]
Dr. Mohamad Kamal B. A. Rahim
Department of Communication Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Sophan Wahyudi Bin Nawawi
Department of Control and Mechatronics Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Nor Hisham Haji Khamis
Department of Communication Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Cheng Siong Lim
Department of Control and Mechatronic Engineering,Universiti Teknologi Malaysia
[email protected]
Dr. Sharifah Kamilah Bt Syed Yusof
Department of Electrical Engineering Universiti Teknologi Malaysia
[email protected]
Dr. Shahdan Sudin
Department of Control and Mechatronic Engineering, Universiti Teknologi Malaysia
[email protected]
Dr. Razali Bin Ngah
Department of Electrical Engineering, Universiti Teknologi Malaysia
[email protected]

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    Editorial Note

    Editorial Dr. Koray Ulgen

    Editor-in-Chief
    Dr. Koray Ulgen
    Department of energy engineering, Ege University, Turkey
    [email protected]
    Editorial Advisory Board
    Dr. Rasyidah Binti Mohamad Idris
    Department of Electrical Power Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Norhaliza Abdul Wahab
    Department of Control & Mechatronics Engineering, Universiti Teknologi Malaysia
    [email protected]
    Prof. Md Irfan Ahmed
    Department of Electrical Engineering, Career Point University, Rajasthan, India
    [email protected]
    Dr. Sallehuddin Bin Ibrahim
    Department of Control And Mechatronics Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Naziha bt. Ahmad Azli
    Department of Electrical Power Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Sharul Kamal Bin Abdul Rahim
    Department of Communication Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Jasrul Jamani Bin Jamian
    Department of Electrical Power Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. T. Rajesh
    Department of EEE, INFO Institute of Engineering, Coimbatore, India
    [email protected]
    Dr. Mohamad Kamal B. A. Rahim
    Department of Communication Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Sophan Wahyudi Bin Nawawi
    Department of Control and Mechatronics Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Nor Hisham Haji Khamis
    Department of Communication Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Cheng Siong Lim
    Department of Control and Mechatronic Engineering,Universiti Teknologi Malaysia
    [email protected]
    Dr. Sharifah Kamilah Bt Syed Yusof
    Department of Electrical Engineering Universiti Teknologi Malaysia
    [email protected]
    Dr. Shahdan Sudin
    Department of Control and Mechatronic Engineering, Universiti Teknologi Malaysia
    [email protected]
    Dr. Razali Bin Ngah
    Department of Electrical Engineering, Universiti Teknologi Malaysia
    [email protected]

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