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Simulating Discrete Time Model Reference Adaptive Control System with Great Initial Error
Abstract:This article is based on the technique which is called Discrete Parameter Tracking (DPT). First introduced by A. A. Azab  which is applicable for less order reference model. The order of the reference model is (n-l) and n is the number of the adjustable parameters in the physical plant. The technique utilizes a modified gradient method  where the knowledge of the exact order of the nonadaptive system is not required, so, as to eliminate the identification problem. The applicability of the mentioned technique (DPT) was examined through the solution of several problems. This article introduces the solution of a third order system with three adjustable parameters, controlled according to second order reference model. The adjustable parameters have great initial error which represent condition. Computer simulations for the solution and analysis are provided to demonstrate the simplicity and feasibility of the technique.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060677Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 878
 D. D. Donalson and F. M. Kishi, Review of adaptive control system theories and techniques in Modern Control System Theory, vol.2 (C. Leondes, ed.), McGraw-Hill, New York, 1965.
 E. Irving, New Developments in Improving Power Network Stability with Adaptive Generator Control in Applications of Adaptive Control, (K. S. Narendra and R. V. Monopoli, eds.), Academic Press, New York, 1980.
 E. H. Satorius and M. J. Shensa, On the Application of Recursive Least Squares Methodes to Adaptive Processing, In Applications of Adaptive Control, K. S. Narendra and R. V. Monopoli, eds.), Academic Press, New York, 1980.
 C. C. Hang and P. C. Parks, Comparative Studies of Model Reference Adaptive System, IEEE Trans., Autom. Control, AC 18, No.5. Oct. 1973 (p 419-428).
 D. P. Lindorff and R. L. Caroll, Survey of Adaptive Control using Lyapunov design, Int., J. Control, 18, (p 897-914), 1973.
 K. S. Narendra and P. Kudva, Stable Adaptive Schemes for System Identification and control. Parts I and II, IEEE Trans. Syst., Man Cybern., SMC-4, (p 542-560),1974.
 Yoan, D. Landau, Adaptive Control: The Model Reference Approach, Macel Dekker Inc., New York, 1979.
 A. A. Azab, On Discrete Time Model Reference Adaptive Control System, First Aeronautical Science And Technology Conference ASAT, May 1985, MTC, Cairo, Egypt.
 A. A. Azab, On Adaptive Time Model Referenced parameter tracking, International Conference on Cybernatics and Society ICCS, Sponsered by IEEE, Tokyo, Japan 1978.