— The aim of this paper is to propose an instrumental variable (IV) solution for wide-band frequency domain identification. The focus is first on the extension of the refined IV method for continuous-time model identification to the frequency domain. Then, an iterative IV scheme coupled with an appropriate frequency localising basis function is developed to… (More)
Identification of linear parameter-varying systems in an input-output setting is investigated, focusing on the case when the noise part of the data generating system is an additive colored noise. In the Box-Jenkins and output-error cases, it is shown that the currently available linear regression and instrumental variable methods from the literature are far… (More)
Keywords: Linear parameter-varying systems System identification Refined instrumental variable Box–Jenkins models a b s t r a c t Identification of real-world systems is often applied in closed loop due to stability, performance or safety constraints. However, when considering Linear Parameter-Varying (LPV) systems, closed-loop identification is not… (More)
— This article presents instrumental variable methods for direct continuous-time estimation of a Hammerstein model. The non-linear function is a sum of known basis functions and the linear part is a Box–Jenkins model. Although the presented algorithm is not statistically optimal, this paper further shows the performance of the presented algorithms and the… (More)
— This article presents an instrumental variable method dedicated to non-linear Hammerstein systems operating in closed loop. The linear process is a Box–Jenkins model and the non-linear part is a sum of known basis functions. The performance of the proposed algorithm is illustrated by a numerical example.