[Winter 1999
Colloquiums]
[Department Homepage]
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Mohamed Zohdy
Department of Electrical Engineering
Oakland University
On Quadratic Stabilizability By Linear Feedback
Control of Arbitrary Uncertain Systems
Abstract
The problem of stabilizing linear systems subject to possibly fast time
varying uncertainties is investigated. A necessary and sufficient condition
of quadratic stabilizability is derived. It is found that if the uncertainty
does not enter the input matrix, the quadratic stabilizability condition
by linear feedback is the same as by arbitrary nonlinear feedback. Furthermore,
if the system is quadratic stabilizable by linear feedback control, then
it is also quadratically stabilizable by an optimal type feedback gain.
An explicit algorithm is proposed for the case that the uncertainty is bounded
by a hyperpolyhedron.
372 Science and Engineering Building
Tuesday, March 16 1999
3:004:00 P.M.
Refreshments at 2:303:00 PM in Room 368, Science and Engineering Building