Subspace-based identification for fractional order time delay systems

In this paper, fractional order time delay systems time domain identification problem is discussed. An identification algorithm which combines the subspace method and simulated annealing algorithm is presented. The fractional differential order and time delay parameters are determined by using simulated annealing algorithm. In the case that fractional differential order and time delay parameters are fixed, the state space model of fractional order time delay system is determined by using subspace identification method in time domain. The algorithm is effectively suppress the random noise during identification process. The numerical simulation validates the algorithm.