Implementation of Model Reference Adaptive Controller with Fractional Order Adjustment Rules for Coaxial Rotor Control Test System

Implementation of Model Reference Adaptive Controller with Fractional Order Adjustment Rules for Coaxial Rotor Control Test System

— In this study, an experimental test platform of a low-cost coaxial rotors has been developed for implementation of Model Reference Adaptive Controller (MRAC) with Fractional Order Adjustment Rules by using MATLAB/Simulink. This paper provides a design method of MRAC with fractional order adjustment rule (FOAR-MRAC) that is implemented on a hardware based on ARM microcontroller. Setup of the test platform is presented and its performance is evaluated with realtime experimental measurements. This experimental study is useful to show the utilization of fractional order control systems on engineering applications by using low-cost hardware

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  • [1] J.G. Leishman, Principles of Helicopter Aerodynamics, Cambridge University Press, p. 8, 2006.
  • [2] P.V. Osburn, H.P. Whitaker, A. Kezer, Comparative studies of systems, Institute of Aeronautical Science, pp. 61–39, 1961.
  • [3] I.D. Landau, Adaptive Control the Model Reference Approach, Marcel Dekker: NY, USA, 1979.
  • [4] K.J. Astrom, B. Wittenmark, Adaptive Control, Addison-Wesley, Reading, MA, USA, 1995.
  • [5] B.M. Vinagre, I. Petrás, I. Podlubny, Y.Q. Chen, “Using fractional order adjustment rules and fractional order reference models in modelreference adaptive control”, Nonlinear Dynamics, Vol.29, pp. 269-279. 2001.
  • [6] M.D. Bernardo, U. Montanaro, J.M. Olm, S. Santini, “Model reference adaptive control of discrete time piecewise linear systems”, International Journal of Robust and Nonlinear Control, Vol.23, pp.709-730. 2013.
  • [7] K.A. Mohideen, G. Saravanakumar, K. Valarmathi, D. Devaraj, T.K. Radhakrishnan, “Real-coded Genetic Algorithm for system identification and tuning of a modified Model Reference Adaptive Controller for a hybrid tank system”, Applied Mathematical Modeling, Vol.37, pp.3829-3847, 2013.
  • [8] T.A.V. Ravi, C. Chakraborty, S. Maiti, Y. Hori, “A new model reference adaptive controller for four quadrant vector controlled induction motor drives”, IEEE Transactions on Industrial Electronics, Vol.59, pp.3757- 3767, 2012.
  • [9] L. Guo, L. Parsa, “Model Reference Adaptive Control of Five-P IPM Motors Based on Neural Network”, IEEE Transactions on Industrial Electronics, Vol.59, pp.1500 – 1508, 2012.
  • [10] Y. Liu, Y. Jia, “Adaptive leader-following consensus control of multiagent systems using model reference adaptive control approach”, IET Control Theory & Applications, Vol.6, pp.2002-2008, 2012.
  • [11] Z. Peng, D. Wang, H. Zhang, G. Sun, H. Wang, “Distributed model reference adaptive control for cooperative tracking of uncertain dynamical multi-agent systems”, IET Control Theory & Applications, Vol.7, pp.1079-1087, 2013.
  • [12] H. Wu, M. Deng, “Robust adaptive control scheme for uncertain nonlinear model reference adaptive control systems with time-varying delays”, IET Control Theory & Applications, Vol.9, pp.1181-1189, 2015.
  • [13] B. Jiang, Z. Gao, P. Shi, Y. Xu, “Adaptive fault-tolerant tracking control of near-space vehicle using Takagi–Sugeno fuzzy models”, IEEE Transactions on Fuzzy Systems, Vol.18, pp.1000-1007, 2010.
  • [14] I. Sadeghzadeh, A. Mehta, Y. Zhang, C.A. Rabbath, “Fault-tolerant trajectory tracking control of a quadrotor helicopter using gainscheduled PID and model reference adaptive control”, Annual Conference of the Prognostics and Health Management Society, Montreal, Canada, pp. 1-10, 2011.
  • [15] B.B. Alagoz, A. Ates, C. Yeroglu, “Auto-tuning of PID controller according to fractional-order reference model approximation for DC rotor control”, Mechatronics, Vol.23, pp.789–797, 2013.
  • [16] I. Petras, Fractional-order nonlinear systems: modeling, analysis and simulation, Springer, Higher Education Press, Beijing, China, 2011.
  • [17] C. Yeroglu, A. Ates, “A stochastic multi-parameters divergence method for online auto-tuning of fractional order PID controllers”, Journal of the Franklin Institute, Vol.351, pp.2411-2429, 2014.
  • [18] C. Yeroglu, G. Kavuran, “Sliding mode controller design with fractional order differentiation: applications for unstable time delay systems”, Turkish Journal of Electrical Engineering & Computer Sciences, Vol.22, pp.1270-1286, 2014.
  • [19] D. Sierociuk, I. Podlubny, I. Petras, “Experimental evidence of variableorder behavior of ladders and nested ladders”, Control Systems Technology, Vol.21, pp.459-466, 2013.
  • [20] Y.Q. Chen, B.M. Vinagre, I. Podlubny, “Continued fraction expansion approaches to discretizing fractional order derivatives an expository review”, Nonlinear Dynamics, Vol.38, pp.155-170, 2004.
  • [21] E. Lavretsky, Adaptive control: Introduction, overview, and applications, NASA Adaptive Control Workshop 2009, NASA Marshall Space Center, Huntsvill, USA, 2009.