Response prediction of complex dynamic systems using piecewise parameters

In this paper, a method is proposed to predict n-step response of linear time-varying systems (LTVS). To take into account the modeling error in set-membership approach, adjustable parameters are characterized by intervals. To increase modeling precision, piecewise parameters are used and the validity domain of any set of parameters is determined in input-output space. The output of a model whose parameters are characterized by interval is an interval at any instant. The set of outputs provides a tube for all possible systems responses which is called wrapping envelope. To calculate wrapping envelope, a simulator is proposed who determines at any instant, the valid set of parameters, injects it into the model and calculates interval of systems response. The set of intervals will then determines the wrapping envelope.