Positive Observer Design for Positive Linear Systems with Applications in Cascaded Symmetric Rc Network

This paper addresses the problem of state observation techniques specifically designed for positive systems, which represent non-negative natural processes prevalent in various fields. Unlike traditional dynamical systems, positive systems necessitate state observers to maintain non-negativity throughout the estimation process. We propose an algebraic framework for synthesizing positive observers for positive linear systems while preserving positivity, accommodating the inherent constraints of positive systems. The proposed design, also provides a systematic and scalable solution for observer design in cascaded symmetric networks of positive systems. Through simulations and experimental validation, we demonstrate the effectiveness and versatility of the proposed approach, contributing to the advancement of theory in positive systems and facilitating the analysis to diverse applications.