Stability analysis of discrete fault tolerant control systems with parameter uncertainties

Author

Mahmoud, Mufeed

Author_Institution

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

fYear

2008

fDate

11-13 June 2008

Firstpage

1058

Lastpage

1063

Abstract

The stochastic behavior of DTFTCS with norm bounded parameter uncertainties in noisy environments is studied. The uncertainties are assumed to be unknown but bounded. Second moment stability for the uncertain DTFTCS driven by a state feedback control law is to be investigated. Sufficient conditions that guarantee the second moment stability and achieve a minimum of delta-level of disturbance rejection are to be derived. Conditions are to be formulated as a feasibility solution for a set of linear matrix inequalities (LMIs) which allow the utilization of linear optimization tools. The results are verified by means of a numerical example.

Keywords

control system analysis; discrete time systems; fault tolerance; linear matrix inequalities; linear programming; stability; state feedback; stochastic systems; uncertain systems; discrete time fault tolerant control system; disturbance rejection; linear matrix inequality; linear optimization tool; noisy environment; parameter uncertainty; second moment stability analysis; state feedback control law; stochastic behavior; Control systems; Fault tolerant systems; Linear matrix inequalities; Stability analysis; State feedback; Stochastic processes; Sufficient conditions; Uncertain systems; Uncertainty; 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.2008.4586632

Filename

4586632