An analytical design for proportional integral derivative (PID) controller cascaded with a fractional-order filter is proposed for first-order unstable processes with time delay. The design algorithm is based on the internal model control (IMC) paradigm. A two degrees-of-freedom (2DOF) control structure is used to improve the performance of the closed-loop system. In the 2DOF control structure, an integer order controller is used to stabilize the inner-loop, and a fractional-order controller for the stabilized system is employed to improve the performance of the closed-loop system. The Walton–Marshall's method, which is applicable to quasi-polynomials, is then used to establish the internal stability condition of the closed-loop system (the fractional part of the controller in particular) and to seek the set of stabilizing proportional (P) or proportional-derivative (PD) controller parameters.
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February 2016
Research-Article
Internal Model Control–Proportional Integral Derivative–Fractional-Order Filter Controllers Design for Unstable Delay Systems
Kahina Titouche,
Kahina Titouche
L2CSP Laboratory,
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: titouche.kahina@gmail.com
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: titouche.kahina@gmail.com
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Rachid Mansouri,
Rachid Mansouri
L2CSP Laboratory,
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: rachid_mansouri_ummto@yahoo.fr
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: rachid_mansouri_ummto@yahoo.fr
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Maamar Bettayeb,
Maamar Bettayeb
Center of Excellence in Intelligent
Engineering Systems,
University of Sharjah,
Sharjah, UAE;
Engineering Systems,
University of Sharjah,
Sharjah, UAE;
Center of Excellence in Intelligent
Engineering Systems,
King Abdulaziz University,
Jaddah, Saudi Arabia
e-mail: maamar@sharjah.ac.ae
Engineering Systems,
King Abdulaziz University,
Jaddah, Saudi Arabia
e-mail: maamar@sharjah.ac.ae
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Ubaid M. Al-Saggaf
Ubaid M. Al-Saggaf
Center of Excellence in Intelligent
Engineering Systems,
King Abdulaziz University,
Jeddah 21146, Saudi Arabia
e-mail: usaggaf@kau.edu.sa
Engineering Systems,
King Abdulaziz University,
Jeddah 21146, Saudi Arabia
e-mail: usaggaf@kau.edu.sa
Search for other works by this author on:
Kahina Titouche
L2CSP Laboratory,
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: titouche.kahina@gmail.com
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: titouche.kahina@gmail.com
Rachid Mansouri
L2CSP Laboratory,
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: rachid_mansouri_ummto@yahoo.fr
Mouloud Mammeri University,
Tizi-Ouzou 15000, Algeria
e-mail: rachid_mansouri_ummto@yahoo.fr
Maamar Bettayeb
Center of Excellence in Intelligent
Engineering Systems,
University of Sharjah,
Sharjah, UAE;
Engineering Systems,
University of Sharjah,
Sharjah, UAE;
Center of Excellence in Intelligent
Engineering Systems,
King Abdulaziz University,
Jaddah, Saudi Arabia
e-mail: maamar@sharjah.ac.ae
Engineering Systems,
King Abdulaziz University,
Jaddah, Saudi Arabia
e-mail: maamar@sharjah.ac.ae
Ubaid M. Al-Saggaf
Center of Excellence in Intelligent
Engineering Systems,
King Abdulaziz University,
Jeddah 21146, Saudi Arabia
e-mail: usaggaf@kau.edu.sa
Engineering Systems,
King Abdulaziz University,
Jeddah 21146, Saudi Arabia
e-mail: usaggaf@kau.edu.sa
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 15, 2014; final manuscript received November 23, 2015; published online December 23, 2015. Assoc. Editor: M. Porfiri.
J. Dyn. Sys., Meas., Control. Feb 2016, 138(2): 021006 (10 pages)
Published Online: December 23, 2015
Article history
Received:
October 15, 2014
Revised:
November 23, 2015
Citation
Titouche, K., Mansouri, R., Bettayeb, M., and Al-Saggaf, U. M. (December 23, 2015). "Internal Model Control–Proportional Integral Derivative–Fractional-Order Filter Controllers Design for Unstable Delay Systems." ASME. J. Dyn. Sys., Meas., Control. February 2016; 138(2): 021006. https://doi.org/10.1115/1.4032131
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