Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach

• Published in: Automatica (Oxford) Vol. 50; no. 7; pp. 1825 - 1834
• Main Authors: Li, Hongyi, Gao, Huijun, Shi, Peng, Zhao, Xudong
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.07.2014; Elsevier
• Subjects: Actuator fault; Adaptative systems; Applied sciences; Computer science; control theory; systems; Control systems; Control theory. Systems; Disturbances; Exact sciences and technology; Fault tolerance; Fault tolerant control; Faults; Markov processes; Markovian parameters; Modelling and identification; Observers; Sensor fault; Sensors; Sliding mode observer; State vectors; Stochastic system; Sensor fault; Sliding mode observer; Stochastic system; Markovian parameters; Actuator fault; Fault tolerant control; Descriptor system; Markovian system; Probabilistic approach; Variable structure control; Mode control; Sliding mode; Stabilization; Closed feedback; Fault tolerance; regime switching model; Observer; System identification; Measurement error; Fault tolerant system; Actuator
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2014.04.006

This paper is concerned with the stabilization problem for a class of Markovian stochastic jump systems against sensor fault, actuator fault and input disturbances simultaneously. In the proposed approach, the original plant is first augmented into a new descriptor system, where the state vector, disturbance vector and fault vector are assembled into the state vector of the new system. Then, a novel augmented sliding mode observer is presented for the augmented system and is utilized to eliminate the effects of sensor faults and disturbances. An observer-based mode-dependent control scheme is developed to stabilize the resulting overall closed-loop jump system. A practical example is given to illustrate the effectiveness of the proposed design methodology.