Overlapping Guaranteed Cost Control for Uncertain Continuous-Time Delayed Systems
Authors: | Bakule Lubomir, Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Czech Republic Rodellar Jose, Department of Applied Mathematics III, Technical University of Catalonia, Spain Rossell Josep Maria, Department of Applied Mahematics III, Technical University of Catalonia, Spain |
---|
Topic: | 5.4 Large Scale Complex Systems |
---|
Session: | New Trend in Decentralized Control |
---|
Keywords: | Decentralized control, continuous-time systems, delay, large-scale systems, overlapping, uncertainty |
---|
Abstract
Overlapping guaranteed cost control design problem is solved for a class of linear continuous-time uncertain systems with state as well as control delays. Unknown arbitrarily time-varying uncertainties with known bounds are considered. A point delay is supposed. Conditions preserving closed-loop systems expansion-contraction relations including the identical bounds of performance indices are proved. A linear matrix inequality (LMI) delay independent procedure is used for control design in theexpanded space. The results are specialized on the overlapping decentralized control design. A numerical illustrative example is supplied.