Fractional-order system identification based on a Luus-Jaakola algorithm

Generally, fractional-order models give better descriptions of process or objects than integer-order models. The development of modern technologies has made the benefits of fractional-order model for describing real dynamic objects and processes more obvious. An optimal stochastic Luus-Jaakola algorithm was developed for fractional-order systems. The range of the random model order was restricted to improve the identification of fractional-order systems. The method can identify model parameters and identify the system order. In addition, the approach can significantly adapt the original model parameters and is easily implemented. Simulations show the applicability and effectiveness of the method for fractional-order system identification.