L∞ fault estimation observer design for discrete-time linear parameter-varying systems

In this paper, an L∞ fault estimation observer design approach is proposed for linear parameter-varying systems. First, an augmented system is formulated with the aid of the state augmentation techniques. Then, the L∞ performance analysis is utilized to design the fault estimation observer and attenuate the influences of unknown disturbances, noises and fault variation. In particular, the presented observer has more design freedom and provides more accurate fault estimation results by introducing a novel observer structure. Finally, the feasibility and effectiveness of the presented observer are proven by a non-linear truck-trailer model.