Pseudo PI Observer Design for Fractional Order Systems

Bahram Shafai and Amirreza Oghbaee


Linear Systems, Observer Design, Fractional Order System


This paper considers the design of fractional order observers for fractional order system (FOS) with the purpose of estimating the system states for feedback implementation. Using the stability conditions for FOS, design procedures for both fractional order observer of proportional and proportional integral types (P−Observer and PI−Observer) are given with the aim of generalizing the conventional P− and PI−Observers. The design of both observers along with the state feedback control law for stabilization of closed-loop FOS are formulated and solved in terms of LMIs.

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