Abstract
In recent years, many approaches to make a model using the system identification method in order to design the robust control system are proposed. In these approaches, there are methods using the set membership identification technique. In the set membership identification, the model parameters are assumed to be time invariant. Therefore, it is difficult for the set membership identification to deal with an identified object whose parameters are time variant. In this paper, in order to identify time variant model parameter, the set membership method is developed such that the identified model can explain the observed input-output relation using the time-variant parameters which exist in the identified parameter set. The optimization problems are proposed in the case that the parameter of the nominal model is known and unknown.