Title :
Stability conditions for discrete time fault tolerant control systems in noisy environments
Author_Institution :
Fac. of Electr. & Comput. Eng., Univ. of Massachusetts, Lowell, MA
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;
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
DOI :
10.1109/CCA.2008.4629693
