Stability conditions for discrete time fault tolerant control systems in noisy environments

Author

Mahmoud, Mufeed

Author_Institution

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

fYear

2008

fDate

3-5 Sept. 2008

Firstpage

498

Lastpage

503

Abstract

A new discrete time fault tolerant control system (DTFTCS) model is developed. The model represents a discrete version of fault tolerant control systems with Markovian parameters (FTCSMP). The proposed model is consistent with the general class of FTCSMP by defining two Markovian processes: one for fault detection and isolation (FDI) and the second represents the failures in control actuators. Stability definitions for DTFTCS are stated and necessary and sufficient conditions for the second moment stability are derived. Second moment stability conditions for a given controller are constructed in terms of feasibility solutions of linear matrix inequalities (LMI).

Keywords

Markov processes; discrete time systems; fault tolerance; linear matrix inequalities; stability; Markovian parameters; discrete time fault tolerant control systems; fault detection and isolation; linear matrix inequalities; noisy environments; stability conditions; Actuators; Automatic control; Control system synthesis; Control systems; Fault detection; Fault tolerant systems; Maintenance; Stability; Stochastic processes; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2008. CCA 2008. IEEE International Conference on

Conference_Location

San Antonio, TX

Print_ISBN

978-1-4244-2222-7

Electronic_ISBN

978-1-4244-2223-4

Type

conf

DOI

10.1109/CCA.2008.4629693

Filename

4629693