“Globally convergent generalized pole-placement adaptive control algorithm”

Authors: Wei Wang and Rolf Henriksen,
Affiliation: Northeast University of Technology (Shenyang) and NTNU, Department of Engineering Cybernetics
Reference: 1991, Vol 12, No 3, pp. 139-147.

Keywords: Predictive control, adaptive control, pole-placement, convergence, stability

Abstract: A complete proof of global convergence of a generalized pole-placement adaptive control algorithm for linear discrete-time plants with an unmeasured bounded disturbance is given in this paper. The analysis shows that the difficulty encountered in the convergence analysis is circumvented by fixing the parameters which enter nonlinearly into the control law to some constant value. This allows us to use the standard analysis techniques for adaptive control in the analysis of our control algorithm.

PDF PDF (957 Kb)        DOI: 10.4173/mic.1991.3.4

DOI forward links to this article:
[1] Huaizhong Hu, Jianbo Zhang, Qingyu Yang and Yuanli Cai (2017), doi:10.1109/CCDC.2017.7979038
[1] CLARKE, D.W., MOHTADI, C. TUFFS, P.S. (1987). Generalized predictive control, Automatica, 23, 137-160 doi:10.1016/0005-1098(87)90087-2
[2] DE KEYSER, R.M.C., VAN CAUWENGERGHE, A.R. (1985). Extended prediction self-adaptive control, Proc. 7th IFAC Symp. on Identification and System Parameter Estimation, pp. 1255-1260.
[3] GOODWIN, G.C. SIN, K.S. (1981). Adaptive control of nonminimum phase system, IEEE Trans. Automatic Control, 26, 478-483 doi:10.1109/TAC.1981.1102610
[4] GOODWIN, G.C. SIN, K.S. (1984). Adaptive Filtering, Prediction, and Control, Prentice-Hall Englewood Cliffs, NJ.
[5] GU, XING YUAN WANG WEI (1988). A stable discrete-time multivariable adaptive control in the presence of unmodeled dynamics, Proc. 8th IFAC Symp. on Identification and System Parameter Estimation, pp. 265-270.
[6] GU, XING YUAN WANG WEI (1989). On the stability of a self-tuning controller in the presence of bounded disturbances, IEEE Trans. Automatic Control, 34, 211-214.
[7] LELIC, M.A. ZARROP, M.B. (1987). Generalized pole-placement self-tuning controller Part 1: Basic algorithm, Int. J. Control, 46, 548-568.
[8] ORTEGA, R. SANCHEZ, G. (1989). Globally convergent multistep receding horizon adaptive controller, Int. J. Control, 49, 1655-1664.
[9] YDSTIE, B. (1984). Extended horizon adaptive control, Proc. 9th IFAC World Congress, pp. 133-137.

  title={{Globally convergent generalized pole-placement adaptive control algorithm}},
  author={Wang, Wei and Henriksen, Rolf},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}