Convergence performance comparisons of PID, MRAC, and PID + MRAC hybrid controller

Frontiers of Mechanical Engineering - Tập 11 - Trang 213-217 - 2016
Dan Zhang1, Bin Wei2
1Department of Mechanical Engineering, York University, Toronto, Canada
2Department of Automotive, Mechanical, and Manufacturing Engineering, University of Ontario Institute of Technology, Oshawa, Canada

Tóm tắt

This study proposes a hybrid controller by combining a proportional-integral-derivative (PID) control and a model reference adaptive control (MRAC), which named as PID + MRAC controller. The convergence performances of the PID control, MRAC, and hybrid PID + MRAC are also compared. Through the simulation in Matlab, the results show that the convergence speed and performance of the MRAC and the PID + MRAC controller are better than those of the PID controller. In addition, the convergence performance of the hybrid control is better than that of the MRAC control.

Tài liệu tham khảo

Jafarov E M, Parlak M N A, Istefanopulos Y. A new variable structure PID-controller design for robot manipulators. IEEE Transactions on Control Systems Technology, 2005, 13(1): 122–130 Landau Y D. Adaptive Control: The Model Reference Approach. New York: Marcel Dekker, 1979 Dubowsky S, Desforges D. The application of model-referenced adaptive control to robotic manipulators. Journal of Dynamic Systems, Measurement, and Control, 1979, 101(3): 193–200 Cao C, Hovakimyan N. Design and analysis of a novel L1 adaptive control architecture with guaranteed transient performance. IEEE Transactions on Automatic Control, 2008, 53(2): 586–591 Jain P, Nigam M J. Design of a model reference adaptive controller using modified MIT rule for a second order system. Advance in Electronic and Electric Engineering, 2013, 3(4): 477–484 Nguyen N T, Krishnakumar K, Boskovic J. An optimal control modification to model-reference adaptive control for fast adaptation. In: Proceedings of AIAA Guidance, Navigation and Control Conference and Exhibit. Honolulu, 2008, 1–20 Idan M, Johnson M D, Calise A J. A hierarchical approach to adaptive control for improved flight safety. Journal of Guidance, Control, and Dynamics, 2002, 25(6): 1012–1020 Valente A, Mazzolini M, Carpanzano E. An approach to design and develop reconfigurable control software for highly automated production systems. International Journal of Computer Integrated Manufacturing, 2015, 28(3): 321–336 Landau I D, Lozano R, M’Saad M, et al. Communications and Control Engineering. London: Springer, 2011 Horowitz R, Tomizuka M. An adaptive control scheme for mechanical manipulators—Compensation of nonlinearity and decoupling control. Journal of Dynamic Systems, Measurement, and Control, 1986, 108(2): 127–135 Sadegh N, Horowitz R. Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators. International Journal of Robotics Research, 1990, 9(3): 74–92 Craig J J. Introduction to Robotics: Mechanics and Control. 3rd ed. Upper Saddle River: Addison Wesley, 2005