Linear Time-Varying Systems: Model Parameters Characterization Using Intervals Analysis

A strategy is proposed to model the complex industrial systems using linear time-varying system (LTV S). The proposed methodology is independent of model structure and the model may take any classic linear structure such as finite impulse response, inputoutput relation structures etc. To take into account the error between system and model due to model order reduction, variation of system behavior in time and perturbations, model’s parameters are considered varying but bounded variables characterized by intervals. The output of this model is characterized by a function of the piecewise linear parameters which contains all possible system’s responses taking into account modeling error as well as the perturbations. Keywords— Time-Varying System, Model’s Parameters Characterization, Interval Analysis