A New Technique To Cope With Unmeasurable Premise Variables In Designing PI Multiobserver For Singularly Perturbed System

This paper presents a novel approach to deal with ummeausrable premise variables (UMPVs) in observer design for discrete non linear singularly perturbed systems (DNSPSs). The considered system is represented by a coupled state multi model (MM) with UMPVs. The proposed approach consists to immerse the DNSPSs with UMPVs in new representation depend only on measurable variables. This result relaxes the complex conditions used in the design of multiobserver with UMPVs. Hence, the observability bound of the DNSPS represented by a coupled state MM is determined. An example is presented to demonstrate the performances of the suggested approach.