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 subsystem not affected by the is presented. Second, an designed based on Input-to-State Stability (ISS). The gains are computed solving Linear Matrix Inequalities (LMI) formulated multiple quadratic Lyapunov functions under average dwell time switching signals. In addition, change of coordinates can be taken in order ensure positivity estimation errors. Finally, explicit expression bounds derived. Note that while additive disturbances and measurement noises but assumed bounded known bounds, signals neither nor stochastic.