Title :
Stability conditions for discrete time fault tolerant control systems with state delays
Author_Institution :
Fac. of Electr. & Comput. Eng, Massachusetts Univ., Lowell, MA
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 :
Hinfin control; Lyapunov methods; delays; discrete time systems; fault tolerance; linear matrix inequalities; stability; state feedback; Hinfin 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;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4586629