Efficient Fractional Order Reference Model of Adaptive Controller Design for Multi-input Multi-output Thermal System

Jutarut Chaoraingern, Vittaya Tipsuwanporn, Arjin Numsomran

Abstract


The diverse control techniques have been combined with fractional calculus to enhance the control system performance. This paper presents an efficient fractional-order model reference adaptive controller (FOMRAC) design, which aims to demonstrate the solution for temperature reference tracking and cross-coupling rejection in the multi-input multi-output thermal system as well as cognizing of power consumption saving constraints. The mathematical modeling, nonlinear dynamic characteristic details, and system identification of the thermal system are described while the fractional-order controller combined with a model reference adaptive control (FOMRAC) based on MIT rule is developed so that to create the nonlinear adaptive mechanism which enables the excellent performance to control the multi-input multi-output thermal system. Likewise, a decoupling compensator is constructed to remunerate the effect of the cross-coupling interaction. The validation of the proposed control scheme is performed through the Matlab simulation and the experiment on the multi-input multi-output thermal system. The results illustrated the FOMRAC technique in which the controller's adjustable parameters can provide efficiency stability and performance to minimize the settling time and percent overshoot of the control system response. Besides, the analysis of the power consumption in the control system is addressed to reinforce the useful ability of the proposed method compared with the integral-order model reference adaptive controller (IOMRAC) and the traditional PID controller. The results revealed that the proposed FOMRAC technique exhibited much better than other methods because of the effective optimization of adaptive gain mechanism and fractional-order operators.

Keywords


fractional order controller; model reference adaptive; multi-input multi-output; thermal control system.

Full Text:

PDF

References


J. Sabatier, P. Lanusse, P. Melchior, and A. Oustaloup, Fractional Order Differentiation and Robust Control Design, Springer, 2015.

F. Padula, and A. Visioli, Advances in Robust Fractional Control, Springer, 2014.

S. Das, Functional Fractional Calculus, Springer-Verlag Berlin Heidelberg, 2011.

H. O. Erkol, “Optimal controller design for two wheeled inverted pendulum,†IEEE Access, vol. 6, pp. 75709-75717, 2018.

C. Hsu, “Fractional order PID control for reduction of vibration and noise on induction motor,†IEEE Transactions on Magnetics, vol. 55, no. 11, pp. 1-7, Nov. 2019.

J. Viola, L. Angel, and J. M. Sebastian, “Design and robust performance evaluation of a fractional order PID controller applied to a DC motor,†IEEE/CAA Journal of Automatica Sinica, vol. 4, no. 2, pp. 304-314, Apr. 2017.

W. Zheng, Y. Luo, Y. Pi, and Y. Chen, “Improved frequency-domain design method for the fractional order proportional–integral–derivative controller optimal design: a case study of permanent magnet synchronous motor speed control,†IET Control Theory & Applications, vol. 12, no. 18, pp. 2478-2487, Dec. 2018.

B. Hekimoğlu, “Optimal tuning of fractional order PID controller for DC motor speed control via chaotic atom search optimization algorithm,†IEEE Access, vol. 7, pp. 38100-38114, 2019.

A. S. Chopade, S. W. Khubalkar, A. S. Junghare, M. V. Aware, and S. Das, “Design and implementation of digital fractional order PID controller using optimal pole-zero approximation method for magnetic levitation system,†IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 5, pp. 977-989, Sep. 2018.

J. Viola, and L. Angel, “Delta parallel robotic manipulator tracking control using fractional order controllers,†IEEE Latin America Transactions, vol. 17, no. 03, pp. 393-400, Mar. 2019.

J. Viola, and L. Angel, “Tracking control for robotic manipulators using fractional order controllers with computed torque control,†IEEE Latin America Transactions, vol. 16, no. 7, pp. 1884-1891, Jul. 2018.

H. P. Ren, X. Wang, J. T. Fan, and O. Kaynak, “Fractional order sliding mode control of a pneumatic position servo system,†Journal of the Franklin Institute, vol. 356, issue 12, pp. 6160-6174, 2019.

T. Mahto, and V. Mukherjee, “Fractional order fuzzy PID controller for wind energy-based hybrid power system using quasi-oppositional harmony search algorithm,†IET Generation, Transmission & Distribution, vol. 11, no. 13, pp. 3299-3309, Sep. 2017.

A. Asgharnia, R. Shahnazi, and A. Jamali, “Performance and robustness of optimal fractional fuzzy PID controllers for pitch control of a wind turbine using chaotic optimization algorithms,†ISA Transactions, vol. 79, pp. 27-44, 2018.

P. K. Ray, S. R. Paital , A. Mohanty, Y. S. E. Foo, A. Krishnan, H. B. Gooi, and G. A. J. Amaratunga, “A hybrid firefly-swarm optimized fractional order interval type-2 fuzzy PID-PSS for transient stability improvement,†IEEE Transactions on Industry Applications, vol. 55, no. 6, pp. 6486-6498, Nov.-Dec. 2019.

J. Z. Shi, “A fractional order general type-2 fuzzy PID controller design algorithm,†IEEE Access, vol. 8, pp. 52151-52172, 2020.

S. Xu, G. Sun, Z. Ma, and X. Li, “Fractional-order fuzzy sliding mode control for the deployment of tethered satellite system under input saturation,†IEEE Transactions on Aerospace and Electronic Systems, vol. 55, no. 2, pp. 747-756, Apr. 2019.

Z. Yakoub, M. Amairi, M. Chetoui, B. Saidi, and M. Aoun, “Model-free adaptive fractional order control of stable linear time-varying systems,†ISA Transactions, vol. 67, pp.193-207, 2017.

H. Wang, L. Hua, Y. Guo, and C. Lu, “Control of Z-axis MEMS gyroscope using adaptive fractional order dynamic sliding mode approach,†IEEE Access, vol. 7, pp. 133008-133016, 2019.

F. Chen, and J. Fei, “Fractional order adaptive sliding mode control system of micro gyroscope,†IEEE Access, vol. 7, pp. 150565-150572, 2019.

G. Sun, and Z. Ma, “Practical Tracking Control of Linear Motor With Adaptive Fractional Order Terminal Sliding Mode Control,†IEEE/ASME Transactions on Mechatronics, vol. 22, no. 6, pp. 2643-2653, Dec. 2017.

P. Gao, G. Zhang, H. Ouyang, and L. Mei, “An adaptive super twisting nonlinear fractional order PID sliding mode control of permanent magnet synchronous motor speed regulation system based on extended state observer,†IEEE Access, vol. 8, pp. 53498-53510, 2020.

M. Vahdanipour, and M. Khodabandeh, “Adaptive fractional order sliding mode control for a quadrotor with a varying load,†Aerospace Science and Technology, vol. 86, pp. 737-747, 2019.

S. Chen, H. Chiang, T. Liu, and C. Chang, "Precision motion control of permanent magnet linear synchronous motors using adaptive fuzzy fractional-order sliding-mode control,†IEEE/ASME Transactions on Mechatronics, vol. 24, no. 2, pp. 741-752, April 2019.

P. Mani, R. Rajan, L. Shanmugam, and Y. H. Joo, “Adaptive Fractional Fuzzy Integral Sliding Mode Control for PMSM Model,†IEEE Transactions on Fuzzy Systems, vol. 27, no. 8, pp. 1674-1686, Aug. 2019,

S. A. Moezi, E. Zakeri, and M. Eghtesad, “Optimal adaptive interval type-2 fuzzy fractional-order backstepping sliding mode control

method for some classes of nonlinear systems,†ISA Transactions, vol.93, pp.23-39, 2019.

Y. Chen, I. Petr´asˇ, and D. Xue, “Fractional order control - A tutorial,†in Proc. American Control Conference, St. Louis, USA, 2009.

K. J. Astrom, and B. Wittenmark, Adaptive Control, Addison-Wesley Publishing Company, 1989.

B. T. Jevtović, and M. R. Mataušek, “PID Controller Design of TITO System Based On Ideal Decoupler,†Journal of Process Control, vol. 20, no. 7, pp. 869-876, 2010.

J.A. Rossiter, B.L. Jones, S. Pope, and J.D. Hedengren, “Evaluation and demonstration of take home laboratory kit,†in Proc. 12th IFAC Symposium on Advances in Control Education (ACE 2019), Philadelphia, PA., Jul. 2019.

J.D. Hedengren, R.A. Martin, J.C. Kantor, N. Reuel, “Temperature control lab for dynamics and control, AIChE Annual Meeting, Orlando, FL, Nov. 2019.

A. Tepljakov, E. Petlenkov, and J. Belikov, “FOMCON: a Matlab toolbox for fractional-order system identification and control,†International Journal of Microelectronics and Computer Science, vol.2, pp. 51-62, 2011.




DOI: http://dx.doi.org/10.18517/ijaseit.10.4.11640

Refbacks

  • There are currently no refbacks.



Published by INSIGHT - Indonesian Society for Knowledge and Human Development