Grey-box Modeling of Parameter-Dependent LTI Systems

摘要

This paper studies grey-box modeling of a rotary type pendulum system with a variable load, which can be modeled by Parameter-Dependent Linear-Time-Invariant (PD-LTI) systems. The state of the system is estimated from physical laws with black-box models, and the coefficients of the PD-LTI system are computed from LMI (Linear Matrix Inequalities) optimization. Two white-box models are developed and the resulting grey-box models are verified by experiments and by the gap metric.