Unknown input interval observers for discrete-time linear switched systems

This paper deals with unknown input interval observer synthesis for discrete-time switched systems. First, a decomposition leading to obtain a subsystem not affected by the unknown input is presented. Second, an interval observer is designed based on the Input-to-State Stability (ISS). The gains are com-puted by solving Linear Matrix Inequalities (LMI) formulated based on multiple quadratic Lyapunov func-tions under average dwell time switching signals. In addition, a change of coordinates can be taken in order to ensure the positivity of the estimation errors. Finally, an explicit expression for the unknown input bounds is derived. Note that while the additive disturbances and the measurement noises are un-known but assumed to be bounded with known bounds, the unknown input signals are neither bounded nor stochastic. (c) 2020 European Control Association. Published by Elsevier Ltd. All rights reserved.