Quantum mechanics

Control (management)

Fault detection and isolation

Statistics

Actuator

Markov chain

Computer science

Mathematical optimization

Fault (geology)

Filter (signal processing)

Seismology

Geology

Physics

Mathematics

Conic section

Discrete time and continuous time

Filtering problem

Artificial intelligence

Geometry

Jump

Linear matrix inequality

Control theory (sociology)

Filter design

Computer vision

IET Control Theory and Applications

This study investigates the robust fault detection filter design problem for a class of discrete-time conic-type non-linear Markov jump systems with jump fault signals. The conic-type non-linearities satisfy a restrictive condition that lies in an n -dimensional hyper-sphere with an uncertain centre. A crucial idea is to formulate the robust fault detection filter design problem of non-linear Markov jump systems as filtering problem. The authors aim to design a fault detection filter such that the augmented Markov jump systems with conic-type non-linearities are stochastically stable and satisfy the given performance against the external disturbances. By means of the appropriate mode-dependent Lyapunov functional method, sufficient conditions for the existence of the designed fault detection filter are presented in terms of linear matrix inequalities. Finally, a practical circuit model example is employed to demonstrate the availability of the main results.

Robust fault detection filter design for a class of discrete‐time conic‐type non‐linear Markov jump systems with jump fault signals