Over the past years, there has been extensive research in the control systems community on data-based approaches for the analysis and synthesis of dynamical systems. A distinguishing feature of this “new wave” of data-driven methods is the emphasis on solutions and techniques with provable guarantees regarding the (robust) stability and performance of the considered (closed-loop) systems. In...
Recently, frequency domain based pole finding methods were developed for LTI systems, which, unlike current popular identification schemes, do not require knowledge of the system order. These methods rely on rational orthogonal expansions of the transfer function and usually require an accurate estimate of the frequency response. This is usually only available in the form of an empirical...
A novel method to identify the transfer functions of single-input-single-output linear time invariant (SISO-LTI) dynamical systems is proposed. The proposed approach uses an operator based generalization of Prony’s classical parameter estimation method. In this work, generalized Prony schemes are used to reconstruct the transfer function of the system as a linear combination of rational basis...
