An Identification Approach for Descriptor Systems

This letter proposes a novel identification approach for linear time-invariant descriptor systems based on input-state-output data. Under the assumption of regularity, the equivalent inverse form of the descriptor system is firstly introduced. Then two groups of data experiments are designed, and corresponding input, state and output data are collected. Furthermore, the parameters of the inverse form are uniquely identified based on those data sets. Since the inverse form possesses the same state, input, output signals and input-output transfer function as the original descriptor system, the identification is completed. Finally, an electrical circuit system is provided to illustrate the effectiveness of our method.