Fault detection for a class of non-linear networked control systems in the presence of Markov sensors assignment with partially known transition probabilities

作者：Wang, Yanqian^*; Lu, Junwei; Li, Ze; Chu, Yuming

来源：IET Control Theory and Applications, 2015, 9(10): 1491-1500.

DOI：10.1049/iet-cta.2013.0802

• H-INFINITY CONTROL
• CONTROL CO-DESIGN
• ACTUATOR ASSIGNMENT
• LINEAR-SYSTEMS
• PACKET DROPOUT
• COMMUNICATION
• CONSTRAINTS
• STABILITY
• SUBJECT
• DELAYS

In this study, the problem of fault detection for a class of discrete-time non-linear networked control systems is investigated. An event modelled as a Markov chain taking matrix values in a certain set with partially known transition probabilities is utilised to characterise the phenomenon of the sensors assignment. A full-order mode-dependent fault detection filter is constructed and the corresponding fault detection problem is converted into an H-infinity filtering problem of a Markov jump system with partially known transition probabilities. Sufficient conditions for the existence of the fault detection filter are formulated as a linear matrix inequality-based convex optimisation problem. If the convex optimisation problem has a feasible solution, the corresponding fault detection filter parameters are determined. A numerical example with four cases of transition probability matrices is presented to show the usefulness of the developed method.

• 出版日期2015-6-25
• 单位南京师范大学; 南京理工大学; 湖州师范学院; 苏州科技大学; 山东工商学院