A New Model Reference Adaptive Control Using Stacked Identifiers

Abstract:

Model reference adaptive control is a major design method for controlling plants with uncertain parameters. The primary objective of this paper is to develop a new design approach for the model reference adaptive control of a single-input single-output linear time-invariant plant. The proposed method, called the “Model reference adaptive control using stacked identifiers, “uses a stacked identifier structure that is new to the field of adaptive control. The goal is to make the output of the plant asymptotically track the output of the first identifier, and then driving the output of the first identifier to track that of the second identifier, and so forth, up to the q-th identifier where q is the relative degree of the plant. Lastly, the output of the q-th identifier is forced to converge to that of the reference model. Simulation results shown our paper provides a new adaptive scheme which may give a better transient performance. No state measurement of the plant is required in our method. Since the resulting control systems are nonlinear and time-varying, the stability analysis of the overall system plays a central role in developing the theory.

• Periodical: Advanced Materials Research (Volumes 488-489)
• Pages: 1767-1771
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.488-489.1767
• Online since: March 2012
• Authors: Wei Der Chung, Xiao Hu, Woon Ki Na, Hsin Pei Chen, Yun Zhi Cheng, C.C. Wang
• Keywords: Adaptive Control, Lyapunov Analysis, Model Reference, Stacked Identifiers

References

[1] Narendra, K.S., and Annaswamy, A.M. Stable Adaptive Systems. Englewood Cliffs, NJ: Prentice-Hall Inc., 1989.

[2] Monopoli, R. V. "Model reference adaptive control with an augmented error signal." IEEE Transactions on Automatic Control, 19:474-484, 1974.

DOI: 10.1109/tac.1974.1100670

[3] Narendra, K.S., and , J.D. "A combined direct, indirect, and variable structure method for robust adaptive control." IEEE Transactions on Automatic Control, 37:262-268, Feb. 1992.

DOI: 10.1109/9.121632

[4] Tso, S.K., and Shum, H.Y. "Robust Model reference adaptive control algorithm for a class of plants with bounded input disturbances" Electronics Letters, 26:1220-1221, July 1990.

DOI: 10.1049/el:19900788

[5] Narendra, K.S., and Balakrishnan, J. "Adaptive control using multiple models" IEEE Transactions on Automatic Control, 42:171-187, Feb. 1997.

DOI: 10.1109/9.554398

[6] Kreisselmeier, G.., and Smith, M.C. "Stable adaptive regulation of arbitrary -order plants." IEEE Transactions on Automatic Control, 31:299-305, 1986.

DOI: 10.1109/tac.1986.1104278

[7] Sun, J., "A modified model reference adaptive control scheme for improved transient performance", IEEE Transactions on Automatic Control, Volume 38, Issue 8, pp.1255-1259, Aug. 1993.

DOI: 10.1109/9.233162

[8] Miller, D. E., "A new approach to model reference adaptive control", IEEE Transactions on Automatic Control, Volume 48, Issue 5, pp.743-757, May 2003.

DOI: 10.1109/tac.2003.811251

[9] Wei-Der Chung, Model Reference Adaptive Control Using Stacked Identifiers, Ph.D. thesis. University of Texas at Arlington, 2007.