Asymptotic Regional Gradient Reduced-Order Observer

Abstract

Abstract The aim of this paper is to extend the notion of general asymptotic regional gradient observer (G A R G-observer) to the reduced order case. More precisely, we study and discuss the existing of this approach in a sub-region of the considered domain. Thus, we show that the approach is enables to estimate the unknown part of the state gradient when the output function gives part of information about the region state in ω. The characterization of this notion depend on regional gradient strategic sensors (R G S-sensor) concept in order that asymptotic regional gradient reduced-order observability (A R G R O-observability) to be achieved and analyzed. An application presented to various situation cases of strategic sensors.