Journal
ASIAN JOURNAL OF CONTROL
Volume 10, Issue 5, Pages 569-580Publisher
WILEY
DOI: 10.1002/asjc.57
Keywords
Neutral systems; mixed H-2/H-infinity control; time-delay; linear matrix inequalities; uncertainty
Categories
Funding
- European Union (European Regional Development Fund)
- Spanish Ministry of Science and Innovation [DPI2008-06699-C02-01]
- government of Catalonia [SGR00296]
- Spanish Ministry of Science and Innovation
- FI Grant of the Department for Innovation, University
- Enterprise of the Government of Catalonia (Spain)
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This paper considers the problem of robust mixed H-2/H-infinity delayed state feedback control for a Class of uncertain neutral systems with time-varying discrete and distributed delays. Based oil the Lyapunov-Krasovskii functional theory new required sufficient conditions are established in terms of delay-range-dependent linear matrix inequalities for the stability and stabilization of the considered system using some free matrices. The desired robust mixed H-2/H-infinity delayed state feedback control is derived based oil a convex optimization Method Such that the resulting closed-loop system is asymptotically stable and satisfies H-2 performance with a guaranteed cost and it prescribed level of H-infinity performance, Simultaneously. Finally a numerical example is given to illustrate the effectiveness of our approach.
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