Fault Detection Filter Design for Positive Markov Jump Systems Based on T-S Fuzzy Model

The problem of fault detection filter (FDF) design for positive Markov jump systems (PMJSs) based on T-S fuzzy model is researched. With the help of a co-positive Lyapunov function, the solvability criterion of the related problem is given. By solving obtained linear programming problems, the parameters of the proposed FDF are further determined. Finally, the feasibility of the theory is verified by an example.