Frequency frame approach on tuning FOPI controller for TOPTD thermal processes

Song, 2012, Control of melt pool temperature and deposition height during direct metal deposition process, Int J Adv Manuf Technol, 58, 247, 10.1007/s00170-011-3395-2 Slyadnev, 2001, Photothermal temperature control of a chemical reaction on a microchip using an infrared diode laser, Anal Chem, 73, 4037, 10.1021/ac010318p David, 2010, Analysis of potential genotoxic impurities in pharmaceuticals by two-dimensional gas chromatography with deans switching and independent column temperature control using a low-thermal-mass oven module, Anal Bioanal Chem, 396, 1291, 10.1007/s00216-009-3304-9 Podlubny, 1999, Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers, IEEE Trans Automat Control, 44, 208, 10.1109/9.739144 Ates, 2014, Tuning of fractional order PID with master–slave stochastic multi-parameter divergence optimization method, 1 Zhang, 2018, Fractional-order PID controller tuning using continuous state transition algorithm, Neural Comput Appl, 29, 795, 10.1007/s00521-016-2605-0 Padula, 2011, Tuning rules for optimal PID and fractional-order PID controllers, J Process Control, 21, 69, 10.1016/j.jprocont.2010.10.006 Monje CA, Vinagre BM, Chen YQ, Feliu V, Lanusse P, Sabatier J. Proposals for fractional PIλDμ tuning. In: Proceedings of the first IFAC symposium on fractional differentiation and its applications (FDA04). 2004. Tufenkci, 2018, Stabilization of fractional order PID controllers for time-delay fractional order plants by using genetic algorithm, 1 Luo, 2010, Tuning fractional order proportional integral controllers for fractional order systems, J Process Control, 20, 823, 10.1016/j.jprocont.2010.04.011 Malek, 2013, Identification and tuning fractional order proportional integral controllers for time delayed systems with a fractional pole, Mechatronics, 23, 746, 10.1016/j.mechatronics.2013.02.005 Wang, 2009, Auto-tuning of FOPI and FO[PI] controllers with iso-damping property, 7309 Vu, 2013, Analytical design of fractional-order proportional-integral controllers for time-delay processes, ISA Trans, 52, 583, 10.1016/j.isatra.2013.06.003 Doye, 2019, Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems, IEEE/CAA J Autom Sin, 6, 268, 10.1109/JAS.2017.7510874 Badri, 2016, Some analytical results on tuning fractional-order [proportional–integral] controllers for fractional-order systems, IEEE Trans Control Syst Technol, 24, 1059, 10.1109/TCST.2015.2462739 Mousavi, 2015, A memetic algorithm applied to trajectory control by tuning of fractional order proportional-integral-derivative controllers, Appl Soft Comput, 36, 599, 10.1016/j.asoc.2015.08.009 Chen, 2018, Diffusion control for a tempered anomalous diffusion system using fractional-order PI controllers, ISA Trans, 82, 94, 10.1016/j.isatra.2017.04.005 Yumuk, 2019, Analytical fractional PID controller design based on bode’s ideal transfer function plus time delay, ISA Trans, 91, 196, 10.1016/j.isatra.2019.01.034 Malwatkar, 2009, Tuning PID controllers for higher-order oscillatory systems with improved performance, ISA Trans, 48, 347, 10.1016/j.isatra.2009.04.005 de la Barra, 2008, Identification of first-order time-delay systems using two different pulse inputs, IFAC Proc Vol, 41, 14366, 10.3182/20080706-5-KR-1001.02434 Sung, 2008, Improved system identification method for Hammerstein-Wiener processes, Korean J Chem Eng, 25, 631, 10.1007/s11814-008-0105-3 Vivek, 2012, An improved relay auto tuning of pid controllers for critically damped soptd systems, Chem Eng Commun, 199, 1437, 10.1080/00986445.2012.668863 Park, 2006, Step and pulse response methods for identification of wiener processes, AIChE J, 52, 668, 10.1002/aic.10690 Álvarez de Miguel, 2017, Identification model and PI and PID controller design for a novel electric air heater, Automatika, 58, 55, 10.1080/00051144.2017.1342958 Rivas-Perez, 2014, Design of a fractional order PI controller for steam pressure in the steam drum of a bagasse fired boiler, IFAC Proc Vol, 47, 1337, 10.3182/20140824-6-ZA-1003.00927 Cheon, 2009, Improved fourier transform to estimate frequency responses, Korean J Chem Eng, 26, 925, 10.1007/s11814-009-0155-1 Darwish, 2018, PID controller design in the frequency domain for time-delay systems using direct method, Trans Inst Meas Control, 40, 940, 10.1177/0142331216675400 Grassi E, Tsakalis K. PID controller tuning by frequency loop-shaping. In: Proceedings of 35th IEEE conference on decision and control, Vol. 4. n.d., p. 4776–81. http://dx.doi.org/10.1109/CDC.1996.577667. Banos, 2008, Bode optimal loop shaping with CRONE compensators, 48 Lino, 2013, Loop-shaping and easy tuning of fractional-order proportional integral controllers for position servo systems, Asian J Control, 15, 796, 10.1002/asjc.556 Senol, 2014, A numerical investigation for robust stability of fractional-order uncertain systems, ISA Trans, 53, 189, 10.1016/j.isatra.2013.09.004 Senol, 2014, Analysis of fractional order polynomials using Hermite-Biehler theorem, 1 Wang, 2009, Fractional order proportional integral (FOPI) and [proportional integral] (FO[PI]) controller designs for first order plus time delay (FOPTD) systems, 329