Stability conditions for discrete time fault tolerant control systems with state delays

Author

Mahmoud, Mufeed

Author_Institution

Fac. of Electr. & Comput. Eng, Massachusetts Univ., Lowell, MA

fYear

2008

fDate

11-13 June 2008

Firstpage

1040

Lastpage

1045

Abstract

A DTFTCS in noisy environments subject to delays and driven by a state feedback controller is developed. Second moment stability for the proposed delayed DTFTCS is investigated. A delay-independent sufficient condition that guarantee the H _infin second moment stability and achieve delta- level of disturbance rejection is derived and proved. Results are obtained using Lyapunov function approach and formulated as feasibility solution for a set of linear matrix inequalities (LMI). The theory is demonstrated by a numerical example.

Keywords

H^infin control; Lyapunov methods; delays; discrete time systems; fault tolerance; linear matrix inequalities; stability; state feedback; H_infin second moment stability; LMI; Lyapunov function approach; delay-independent sufficient condition; discrete time fault tolerant control systems; disturbance rejection; linear matrix inequalities; noisy environments; stability conditions; state delays; state feedback controller; Control systems; Delay effects; Delay systems; Fault tolerant systems; Linear matrix inequalities; Lyapunov method; Stability; State feedback; Sufficient conditions; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4586629

Filename

4586629