Design of Kreisselmeier Adaptive Observer using Projection Algorithm for Continuous-time Linear Fractional Order Systems

Many complex systems containing fractal structure can be described by fractional order derivative. By expressing the complex system as fractional order system (system containing fractional order derivative), system’s complex behavior can be simply described with small number of parameters. However, in order to control or identify such system containing unknown variable parameters, online parameter estimation mechanism targeting at the fractional order system is needed. In this paper, we propose kreisselmeier adaptive observer applicable to fractional order system, and we introduce the projection algorithm method to proposed observer.