Polynomial Observer for Interval Positive Polynomial Systems

This paper is concerned with the design of polynomial observers for positive polynomial interval systems. In order to design the polynomial observer a solution based on Sum Of Squares (SOS) programming is provided. The design conditions are presented in terms of SOS, which can be numerically and symbolically solved via SOSTOOLS and a Semi-Definite Program (SDP) solver. Finally, numerical examples are given to show the feasibility of the proposed approaches.