NDLI: Transient performance improvement in model reference adaptive control via iterative learning

Content Provider	IEEE Xplore Digital Library
Author	Tayebi, A.
Copyright Year	2004
Description	Author affiliation: Dept. of Electr. Eng., Lakehead Univ., Thunder Bay, Ont., Canada (Tayebi, A.)
Abstract	In this paper, we propose an iterative control strategy for the transient performance improvement of model reference adaptive control (MRAC) for continuous time single-input single-output (SISO) linear time-invariant (LTI) systems with unknown parameters. The transient improvement is achieved through the introduction of a supplementary discrete-type parametric adaptation law along the iteration-axis, which is obtained in a straightforward manner from the continuous-time parametric adaptation law used in the MRAC scheme. This approach is referred to as the iterative model reference adaptive control (IMRAC). Initially, a standard MRAC scheme is applied to the system under consideration. Thereafter, the parameters are updated iteratively in order to enhance the tracking performance from iteration to iteration. In the case of systems with relative degree one, we obtain a point wise convergence of the tracking error to zero, over the whole finite time-interval, when the number of iterations tends to infinity. In the general case, i.e. systems with arbitrary relative degree, we show that the tracking error converges to a prescribed small domain around zero, over the whole finite time interval, when the number of iterations tends to infinity. Simulation results are also carried out to support the theoretical development.
Starting Page	644
Ending Page	649
File Size	234687
Page Count	6
File Format	PDF
ISBN	0780386825
ISSN	01912216
DOI	10.1109/CDC.2004.1428717
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-14
Publisher Place	Bahamas
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Adaptive control H infinity control Convergence Automatic control Backstepping Iterative methods Lyapunov method Programmable control Councils Lakes
Content Type	Text
Resource Type	Article

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