Simulating Discrete Time Model Reference Adaptive Control System with Great Initial Error
This article is based on the technique which is called
Discrete Parameter Tracking (DPT). First introduced by A. A. Azab
[8] 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 [9] 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.
[1] 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.
[2] 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.
[3] 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.
[4] 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).
[5] D. P. Lindorff and R. L. Caroll, Survey of Adaptive Control using
Lyapunov design, Int., J. Control, 18, (p 897-914), 1973.
[6] 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.
[7] Yoan, D. Landau, Adaptive Control: The Model Reference Approach,
Macel Dekker Inc., New York, 1979.
[8] A. A. Azab, On Discrete Time Model Reference Adaptive Control
System, First Aeronautical Science And Technology Conference ASAT,
May 1985, MTC, Cairo, Egypt.
[9] A. A. Azab, On Adaptive Time Model Referenced parameter tracking,
International Conference on Cybernatics and Society ICCS, Sponsered
by IEEE, Tokyo, Japan 1978.
[1] 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.
[2] 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.
[3] 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.
[4] 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).
[5] D. P. Lindorff and R. L. Caroll, Survey of Adaptive Control using
Lyapunov design, Int., J. Control, 18, (p 897-914), 1973.
[6] 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.
[7] Yoan, D. Landau, Adaptive Control: The Model Reference Approach,
Macel Dekker Inc., New York, 1979.
[8] A. A. Azab, On Discrete Time Model Reference Adaptive Control
System, First Aeronautical Science And Technology Conference ASAT,
May 1985, MTC, Cairo, Egypt.
[9] A. A. Azab, On Adaptive Time Model Referenced parameter tracking,
International Conference on Cybernatics and Society ICCS, Sponsered
by IEEE, Tokyo, Japan 1978.
@article{"International Journal of Information, Control and Computer Sciences:54334", author = "Bubaker M. F. Bushofa and Abdel Hafez A. Azab", title = "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
[8] 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 [9] 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.", keywords = "Adaptive Control System, Discrete Parameter
Tracking, Discrete Time Model.", volume = "4", number = "11", pages = "1680-11", }