The Design of a Signal Synthesis Model Reference Adaptive Control System for Linear Unknown Plants

[+] Author and Article Information
P. N. Nikiforuk, M. M. Gupta, K. Tamura

Systems and Adaptive Control Research Laboratory, College of Engineering, University of Saskatchewan, Saskatoon, Sask., Canada

J. Dyn. Sys., Meas., Control 99(2), 123-129 (Jun 01, 1977) (7 pages) doi:10.1115/1.3427084 History: Received March 29, 1977; Online July 13, 2010


In this paper, a design of a signal synthesis adaptive controller for a class of linear time-varying uncertain plants using model reference adaptive control techniques is presented. Following a discussion of the general concept, the design of an adaptive controller for unconstrained and constrained control conditions is given. The small ultimate boundness of the state error is considered as the adaptation criterion, which is shown to be satisfied by a Liapunov type stability theorem. To handle the uncertainties that are associated with the plant dynamics and its environment, a min-max concept is employed in the design of the controller. The signal synthesis adaptive approach presented in this paper does not require as many structural assumptions as do most other adaptive approachers, and this is its principal advantage. The state vectors of the plant and model are assumed to be both accessible. Some simulation results are presented which illustrate the effectiveness of the design given here.

Copyright © 1977 by ASME
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