Abstract
Set-membership identification is one of the most promising method in robust identification which means system identification for robust control systems. Many robust identification methods based on the set-membership method are proposed. Among them, Kosut et al proposed the pioneer work called parameter set estimation method, which evaluated parametric model uncertainty. However, the method is based on a discrete-time identification model, it is not easy to interpret identified uncertain region physically. In this paper, a new robust identification method which evaluates parametric model uncertainty for physical parameters which construct a nominal model. Because the proposed method is based on the approximate discrete-time identification model which consists of parameters of continuous-time system, the method is called continuous-time set-membership identification method. The upper bound for disturbance is necessary in order to apply set-membership method, so an evaluation method for the upper bound is also proposed. Finally, effectiveness of the proposed robust identification method is shown through numerical examples.
