Robust impulsive reset observers of a class of switched nonlinear systems with unknown inputs

This paper is concerned with observer designs for a class of switched nonlinear systems with unknown inputs under average dwell time (ADT) switching. Firstly, for the unknown input (UI) elimination purpose, an output derivative-based method is considered. Then, in order to avoid using differentia tor signals and meanwhile maintain a satisfactory estimation performance, a full-order impulsive reset switching observer is developed. The existence condition of such an observer is given via a Riccati equation. Besides, we also devote to the construction of the reduced-order observer. And furthermore, it is found that the condition under which a full-order observer exists also guarantees a reduced-order reset switching observer. Finally, a switched nonlinear electronic circuit system is used as the simulation example to verify the effectiveness of the obtained methods. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.