Approximate Models for Adaptive Feedback Linearisation

French, M. and Rogers, E. (1997) Approximate Models for Adaptive Feedback Linearisation. International Journal of Control, 68, (6), 1305-1322.


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A result in Sastry & Isidori (1989) on the adaptive stabilisation/tracking of affine systems with a well defined global relative degree and linear parametric uncertainty is reviewed, and a generalisation is developed to include bounded output disturbances. From this, we develop neuro-control results, for linearly weights approximants with compactly supported basis functions, where the disturbance term is used to handle the approximation error. In contrast to many results in the neuro-control literature the control is a state feedback law, taking measurements from the original coordinates not from the normal form. A local in the weights result is given, and under some nonlinearity constraints inherited from Sastry & Isidori (1989) a global result is proved, where the dimension of the controller varies according to the size of the initial conditions and tracking signal. A final global result is obtained where an `external' controller is used to return the state vector to within a region over which the neuro controller can operate. Finally an analysis of the dimension of the controllers is given. Sastry, S. & Isidori, A. (1989), `Adaptive control of linearizable systems', IEEE Trans. on Automatic Control 34 (11) p1123--1131.

Item Type: Article
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 250052
Accepted Date and Publication Date:
Date Deposited: 15 Jul 1999
Last Modified: 31 Mar 2016 13:50
Further Information:Google Scholar

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