Regional Boundary Asymptotic Gradient reduced order observer

Abstract

Abstract The purpose of this paper is to introduce the notion of regional boundary asymptotic gradient reduced order observer (Γ*AGRO-observer) in distributed parameter systems. More precisely, we explore and discuss the existing of this approach in which estimates a considered sub-region Γ* for the considered domain boundary. Thus, we show that the approach is enables to build the unknown part of the state gradient when the output function gives part of information about the region state. Furthermore, the characterization of this notion depend on regional boundary gradient strategic sensors (RBG-strategic sensors) concept in order that regional boundary asymptotic gradient reduced order observability (Γ*AGRO-observability) to be achieved and analyzed. Finally, an application is presented to various situations of strategic sensors for internal case.