Online Tuning of Two Degrees of Freedom Fractional Order Control Loops

This paper presents online tuning of Two Degrees of Freedom control loops with fractional order proportionalintegral-derivative controller. Since, simultaneous system objectives can be achieved by these types of control loops it can be used for challenging control problems. Thus, five various control loops are reconfigured with fractional order integral and derivative expressions for real time controller tuning problem. Seven parameters of the modified control loops are optimized via stochastic multi parameter divergence optimization algorithm. The optimization algorithm employs good performance for online tuning. The performance of the five various structures are compared using simulation model and real time experimental study on a prototype flight control simulator.

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I. M. Horowitz, Synthesis of Feedback Systems, Academic Press, New York, The University of Michigan, pp.1-726, 1963.
M. Araki, "PID control system with reference feedforward (PID-FF control systems)", Proc 23rd SICE (Society of Instrument and Control Engineers) Annual Conference, pp.31-32, 1984.
M. Araki, H. Taguchi, "Two-degree-of-freedom PID controllers", International Journal of Control Automation and Systems, Vol.1, pp. 401-411, 2003.
T. Nagashio, T. Kida, Y. Hamada, T. Ohtani, "Robust Two-Degrees-of- Freedom Attitude Controller Design and Flight Test Result for Engineering Technology, Vol. 22, No.1, pp.157-168, 2014.
M. Ajmeri, A. Ali, "Two degree of freedom control scheme for unstable processes with small time delay", ISA Transactions, Vol.56, pp.308-326, 2015.
B. B. Ghosh, B. K. Sarkar, R. Saha, "Realtime performance analysis of different combinations of fuzzy-PID and bias controllers for a two degree of freedom electro hydraulic parallel manipulator", Robotics and Computer-Integrated Manufacturing, Vol. 34, pp. 62-69, 2014.
G. H. Choi, K. Park, J. H. Jung, "An optimal H2 decoupling design for non-square plant systems based on the two-degree-of-freedom standard model", International Journal of Control, Automation and Systems, Vol.7, No.2, pp.193-202, 2009.
R. E. Gutierrez, J. M. Rosario, J. A. T. Machado, "Fractional Order Calculus: Basic Concepts and Engineering Applications", Mathematical Problems in engineering, Hindawi Publishing Corporation, Vol.2010, pp.1-9, 2010.
I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, Academic Press, USA, 1999.
B. Ross, Fractional Calculus and its Applications, Springer, Verlag, Berlin, New York, 1975.
F. Merrikh-Bayat, N. Mirebrahimi, M. R. Khalili, "Discrete-time fractional-order PID controller: Definition, tuning, digital realization and some applications", International Journal of Control Automation and Systems, Vol.13, No.1, 81-90, 2015.
G. Feng, Z. Xiao-ping, "Research on fractional order two-degrees-of- freedom flight control technology of unmanned air vehicle", Computer Science and Information Processing, pp. 807-812, 2012.
S. Debbarma, L. C. Saikia, N. Sinha, "Automatic generation control using two degree of freedom fractional order PID controller", International Journal of Electrical Power & Energy Systems, Vol.58, pp. 120-129, 2014.
I. Podlubny, "Fractional order systems and PI?D? controller", Proc. IEEE Trans. Automatic Control, Vol. 44, pp. 208-214, 1999.
C. Yeroglu, N. Tan, "Note on fractional-order proportional-integral- differential controller design", IET Control Theory and Applications, Vol. 5, No.17, pp.1978-1989, 2011.
C. Yeroglu, N. Tan, "Classical controller design techniques for fractional order case", ISA Transactions, Vol.50, No.3, pp.461-472, 2011.
R. El-Khazali, "Fractional-order controller design", Computers & Mathematics with Applications, Vol. 66, No.5, pp.639-646, 2013.
L. H. Sheng, Y. Luo, Y. Q. Chen, "A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments", Control Systems Technology, Vol.18, No.2, pp. 516-520, 2010.
A. Ates, C. Yeroglu, "Tabu Search Algorithm for Fractional Order PID via Non-linear Multi Objective Function", International Conference on Fractional Differentiation and Its Applications, Italy, 2014.
C. Yeroglu, A. Ates, "A stochastic multi-parameters divergence method for online auto-tuning of fractional order PID controllers", Journal of the Frankline Institue, Vol.351, No.5, pp.2411-2429, 2014.
B. B. Alagoz, A. Ates, C. Yeroglu, "Auto-tuning of PID controller according to fractional order reference model approximation for DC rotor control", Journal of the Mechatronics, Vol.23. No.7, pp.789-797, 2013.
A. Ates C. Yeroglu, B. B. Alagoz, B. Senol, "Tuning of Fractional Order PID with Master Slave Stochastic Multi-Parameter Divergence Optimization Method", International Conference on Fractional Differentiation and Its Applications, Italy, 2014.
D. Song, J. Han, G. Liu, "Active Model-Based Predictive Control and Experimental Investigation on Unmanned Helicopters in Full Flight Envelope", IEEE Transactions on Control System Technology, Vol.99, pp.1-8, 2012.
A. Oustaloup, La commande CRONE: commanderobusted'ordre non entire, Hermès, Paris, 1991.
D.Valerio, Ninteger v. 2.3 Fractional Control Toolbox for MATLAB, 2005. [Online]. Available: http://web.ist.utl.pt/~duarte.vale
K. Matsuda, H. Fujii, "H?-optimized wave-absorbing control: analytical and experimental results", Journal of Guidance Control and Dynamics, Vol.16, No.6, pp.1146-1153, 1993.
S. F. Ahammad, S. Purwar, "A nonlinear state observer design for 2-dof twin rotor system using neural networks", Advances in Computing, International Technologies, Trivandrum, Kerala, India, 2009. Control, & Telecommunication
C. L. Shih, M. L. Chen, J. Y. Wang, "Mathematical Model and Set-point Stabilizing Controller Design of a Twin Rotor MIMO System", Asian Journal of Control, Vol.10, No.1, pp.107-114, 2008.
J. J. Gau, W. K. Liu, C. Y. Tsai, "Intelligent control scheme for twin rotor MIMO system", IEEE International Conference on Mechatronics, Taipei, Taiwan, 2005.
C. Xie, A. Mark, "Turnquist Lane-based evacuation network optimization: An integrated Lagrangian relaxation and tabu search approach", Transportation Research-Elseiver, Vol.19, No.1, pp.40-63, 2011.