A. S. Morse

Center for Computational Vision and Control, Department of Electrical Engineering, Yale University, New Haven, CT 06520 USA

Controller Coverings and Switched Control Systems

In its simplest form, the controller covering problem is as follows:
Given a subset M of admissible process model transfer functions in a metric space T equipped with a metric \mu, find if possible a finite set of controller transfer functions K with the property that, for each transfer function t \in M, there is at least one controller transfer function \kappa \in K which endows the closed-loop system transfer function (t \kappa)/(1+ t \kappa) with at least stability and possibly other prescribed properties. Such families K are called controller covers of M.

The aim of this talk is to discuss the controller covering problem, and how its solutions might be used to develop switched adaptive algorithms for controlling poorly modeled processes.


Abstract in Postscript


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