Zonotopic fault detection observer with H_ performance

Trabajo presentado a la 36th Chinese Control Conference (CCC), celebrada en Dalian (China) del 26 al 28 de julio de 2017.This paper proposes a robust fault detection observer based on zonotopes for discrete-time uncertain systems with sensor faults and unknown but bounded uncertainties. The main advantage of this method is that the observer gain of the robust zonotopic observer is designed to be robust against bounded uncertainties while being sensitive to faults. In order to detect sensor faults with low magnitudes, the fault sensitivity is taken into account by measuring the H_ performance. The designed zonotopic observer gain can be obtained by solving an optimization problem including a sequence of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to demonstrate the proposed method.This work has been partially funded by the Spanish Government and FEDER through the projects CICYT ECOCIS (ref. DPI2013-48243-C2-1-R), CICYT DEOCS (ref. DPI2016-76493-C3-3-R), CICYT HARCRICS (ref. DPI2014-58104-R) and by National Natural Science Foundation of China (Grant No. 61273162, 61403104).Peer Reviewe