Robust fault detection filter design for linear switched interval systems

Switched interval system is a kind of special switched system whose parameter matrix changes in a limited and known range. Because switched property and interval matrix exist simultaneously, the structure of switched interval system is more complicated than common switched system. The fault detection problem is studied in this paper. The method of common lyapunov function is used under arbitrary switching signal. The exsitence condition and design method of robust fault detetion filter are given in LMI form. Then a simulation example prove the validity of method in the last section.