Design of robust H∞ fault detection filter for uncertain time-delay systems using canonical form approach

In this paper, the problem of fault detection for an uncertain time-delay system is considered. Using a canonical form transformation, original time-delay system is transformed into a delay-free system. The fault detection scheme is devised using H∞ model matching approach for the delay-free system and then implemented on original system. The so-called canonical transformation is found to be less conservative and offers reduced complexity in comparison with bicausal transformation, which can also be employed for the aforementioned purpose. An algorithm is proposed for design of such a fault detection system. Simulation results show the effectiveness of proposed scheme.