By Topic

On the local stability properties of adaptive parameter estimators with composite errors and split algorithms

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
G. A. Williamson ; Dept. of Electr. & Comput. Eng., Illinois Inst. of Technol., Chicago, IL, USA ; B. D. O. Anderson ; C. R. Johnson

The stability characteristics of a generalized error system structure are examined for adaptive parameter estimation systems. This error system form encompasses the structure of a number of particular applications of adaptive parameter estimation theory which fall outside the framework of more familiar error system models. The consequences for error system stability which derive from the added generality are analyzed. It is demonstrated that, when using averaging theory techniques to analyze the error system, stability conditions must be augmented for the basic error system in order to ensure stability for the generalized error system. The inadequacy of regressor spectral restrictions and persistent spanning conditions to guarantee local error system stability of the generalized structure is rigorously established. Alternative conditions which will yield such local stability are demonstrated. To illustrate the concepts involved, the recursive identification of parameters is examined in a parallel-form realization of a linear system

Published in:

IEEE Transactions on Automatic Control  (Volume:36 ,  Issue: 4 )