Fractional-order two-input two-output process identification based on Haar operational matrix

References

• Bajarangbali, & Majhi, S. (2012). TITO system identification using relay with hysteresis. In 2012 1st international conference on power and energy in NERIST (ICPEN) (pp. 1–5).
   Google Scholar
• Berner, J., Soltesz, K., Åström, K. J., & Hägglund, T. (2017). Practical evaluation of a novel multivariable relay autotuner with short and efficient excitation. In 2017 IEEE conference on control technology and applications (CCTA) (pp. 1505–1510).
   Google Scholar
• Berner, J., Soltesz, K., Hägglund, T., & Åström, K. J. (2017). Autotuner identification of TITO systems using a single relay feedback experiment. IFAC PapersOnLine, 50(1), 5332–5337. https://doi.org/10.1016/j.ifacol.2017.08.922
   Google Scholar
• Broman, H., Lindgren, U., Sahlin, H., & Stoica, P. (1999). A TITO system identification approach. Signal Processing, 73(1), 169–183. https://doi.org/10.1016/S0165-1684(98)00191-1
   Web of Science ®Google Scholar
• Chalupa, P., Přikryl, J., & Novák, J. (2015). Modelling of twin rotor MIMO system. Procedia Engineering, 100, 249–258. https://doi.org/10.1016/j.proeng.2015.01.365
   Google Scholar
• Jin, Q., Cheng, Z., Dou, J., Cao, L., & Wang, K. (2012). A novel closed loop identification method and its application of multivariable system. Journal of Process Control, 22(1), 132–144. https://doi.org/10.1016/j.jprocont.2011.09.008
   Web of Science ®Google Scholar
• Jiwari, R. (2012). A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation. Computer Physics Communications, 183(11), 2413–2423. https://doi.org/10.1016/j.cpc.2012.06.009
   Web of Science ®Google Scholar
• Kalpana, D., Thyagarajan, T., & Gokulraj, N. (2015). Modeling and control of non-square MIMO system using relay feedback. ISA Transactions, 59, 408–417. https://doi.org/10.1016/j.isatra.2015.09.012
   PubMed Web of Science ®Google Scholar
• Kothari, K., Mehta, U., & Vanualailai, J. (2018a). A novel approach of fractional-order time delay system modeling based on Haar wavelet. ISA Transactions, 80, 371–380. https://doi.org/10.1016/j.isatra.2018.07.019
   PubMed Web of Science ®Google Scholar
• Kothari, K., Mehta, U., & Vanualailai, J. (2018b). Fractional-order models of time delay systems using Walsh operational matrices. In 2018 15th international conference on control, automation, robotics and vision (ICARCV) (pp. 1555–1560).
   Google Scholar
• Li, S.-Y., Cai, W.-J., Mei, H., & Xiong, Q. (2005a). Effective decentralized TITO process identification from closed-loop step responses. Asian Journal of Control, 7(2), 154–162. https://doi.org/10.1111/asjc.2005.7.issue-2
   Web of Science ®Google Scholar
• Li, S.-Y., Cai, W.-J., Mei, H., & Xiong, Q. (2005b). Robust decentralized parameter identification for two-input two-output process from closed-loop step responses. Control Engineering Practice, 13(4), 519–531. https://doi.org/10.1016/j.conengprac.2004.04.017
   Web of Science ®Google Scholar
• Li, Z., & Chen, Y. (2014). Ideal, simplified and inverted decoupling of fractional order TITO processes. IFAC Proceedings, 47(3), 2897–2902. https://doi.org/10.3182/20140824-6-ZA-1003.02107
   Google Scholar
• Li, Y., Meng, X., & Ding, Y.-Q. (2017). Using wavelet multi-resolution nature to accelerate the identification of fractional order system. Chinese Physics B, 26(5), 050201. https://doi.org/10.1088/1674-1056/26/5/050201
   Web of Science ®Google Scholar
• Li, Y., Meng, X., Zheng, B., & Ding, Y. (2015). Parameter identification of fractional order linear system based on Haar wavelet operational matrix. ISA Transactions, 59, 79–84. https://doi.org/10.1016/j.isatra.2015.08.011
   PubMed Web of Science ®Google Scholar
• Mittal, R. C., & Pandit, S. (2018). Quasilinearized scale-3 Haar wavelets-based algorithm for numerical simulation of fractional dynamical systems. Engineering Computations, 35(5), 1907–1931. https://doi.org/10.1108/EC-09-2017-0347
   Web of Science ®Google Scholar
• Monje, C. A., Chen, Y., Vinagre, B. M., Xue, D., & Feliu-Batlle, V. (2010). Fractional-order systems and controls. Springer-Verlag London.
   Google Scholar
• Nema, S., & Padhy, P. K. (2015). Identification of two-input two-output process using state-space analysis. IET Control Theory & Applications, 9(13), 2029–2038. https://doi.org/10.1049/iet-cta.2014.1079
   Web of Science ®Google Scholar
• Padhy, P. K., & Majhi, S. (2006). Identification of TITO processes. In 2006 IEEE international conference on industrial technology (pp. 664–669).
   Google Scholar
• Pandit, S., Jiwari, R., Bedi, K., & Koksal, M. E. (2017). Haar wavelets operational matrix based algorithm for computational modelling of hyperbolic type wave equations. Engineering Computations, 34(8), 2793–2814. https://doi.org/10.1108/EC-10-2016-0364
   Web of Science ®Google Scholar
• Pereira, R. D., Veronesi, M., Visioli, A., Normey-Rico, J. E., & Torrico, B. C. (2017). Implementation and test of a new autotuning method for PID controllers of TITO processes. Control Engineering Practice, 58, 171–185. https://doi.org/10.1016/j.conengprac.2016.10.010
   Web of Science ®Google Scholar
• Petráš, I. (2011). Fractional-order nonlinear systems: Modeling, analysis and simulation. Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg.
   Google Scholar
• Ram, V. D., & Chidambaram, M. (2014). Closed loop reaction curve method for identification of TITO systems. IFAC Proceedings, 47(1), 989–996. https://doi.org/10.3182/20140313-3-IN-3024.00135
   Google Scholar
• Ram, V. D., & Chidambaram, M. (2016). Identification of centralised controlled multivariable systems. Indian Chemical Engineer, 58(3), 240–254. https://doi.org/10.1080/00194506.2015.1029285
   Web of Science ®Google Scholar
• San-Millan, A., Feliu-Talegón, D., Feliu-Batlle, V., & Rivas-Perez, R. (2017). On the modelling and control of a laboratory prototype of a hydraulic canal based on a TITO fractional-order model. Entropy 2017, 19(8), 401. https://doi.org/10.3390/e19080401
   Google Scholar
• Semino, D., & Scali, C. (1998). Improved identification and autotuning of PI controllers for MIMO processes by relay techniques. Journal of Process Control, 8(3), 219–227. https://doi.org/10.1016/S0959-1524(97)00041-3
   Web of Science ®Google Scholar
• Tan, K., Lee, T., Huang, S., Chua, K., & Ferdous, R. (2006). Improved critical point estimation using a preload relay. Journal of Process Control, 16(5), 445–455. https://doi.org/10.1016/j.jprocont.2005.09.004
   Web of Science ®Google Scholar
• Tang, Y., Li, N., Liu, M., Lu, Y., & Wang, W. (2017). Identification of fractional-order systems with time delays using block pulse functions. Mechanical Systems and Signal Processing, 91, 382–394. https://doi.org/10.1016/j.ymssp.2017.01.008
   Web of Science ®Google Scholar
• Tastemirov, A., Lecchini-Visintini, A., & Morales-Viviescas, R. M. (2017). Complete dynamic model of the twin rotor MIMO system (TRMS) with experimental validation. Control Engineering Practice, 66, 89–98. https://doi.org/10.1016/j.conengprac.2017.06.009
   Web of Science ®Google Scholar
• Tsay, T.-S. (2011). On-line tuning of PI/Lead compensators for decoupling multivariable processes with specifications on phase and bandwidth. Journal of the Franklin Institute, 348(9), 2586–2606. https://doi.org/10.1016/j.jfranklin.2011.07.018
   Web of Science ®Google Scholar
• Viswanathan, P. K., Toh, W. K., & Rangaiah, G. P. (2001). Closed-loop identification of TITO processes using time-domain curve fitting and genetic algorithms. Industrial & Engineering Chemistry Research, 40(13), 2818–2826. https://doi.org/10.1021/ie000135d
   Web of Science ®Google Scholar
• Xue, D., & Li, T. (2018). An approach to design controllers for MIMO fractional-order plants based on parameter optimization algorithm. ISA Transactions, 82, 145–152. https://doi.org/10.1016/j.isatra.2017.04.022
   PubMed Web of Science ®Google Scholar
• Zheng, J., Guo, G., & Wang, Y. (2005). Identification and decentralized control of a dual-actuator hard disk drive system. IEEE Transactions on Magnetics, 41(9), 2515–2521. https://doi.org/10.1109/TMAG.2005.855442
   Web of Science ®Google Scholar