Convex Optimization Approach to Observer-Based Stabilization of Uncertain Linear Systems
2005 ◽
Vol 128
(4)
◽
pp. 989-994
◽
Keyword(s):
New sufficient linear matrix inequality conditions guaranteeing the stability of uncertain linear systems by means of dynamic output feedbacks are presented. It is shown that the search of an observer-based controller for this class of systems is fundamentally decomposed into two main problems: robust stability with a memoryless state feedback and observer design with measured uncertainties. Under the fulfilment of the developed linear matrix inequalities conditions, we show that the observer-based problem is solvable without any need for some equality constraints or iterative computational algorithms. Examples showing the potential of the results are presented.
2017 ◽
Vol 10
(02)
◽
pp. 1750027
◽
2003 ◽
Vol 125
(2)
◽
pp. 249-253
◽
2012 ◽
Vol 2012
◽
pp. 1-21
◽
2019 ◽
Vol 10
(3)
◽
pp. 1229
Keyword(s):
2000 ◽
Vol 31
(9)
◽
pp. 1091-1098
◽
Keyword(s):
Keyword(s):