Modelling and identification with rational orthogonal basis functions

P Van den Hof, B Wahlberg, P Heuberger… - IFAC Proceedings …, 2000 - Elsevier
Decomposing dynamical systems in terms of orthogonal expansions enables the modelling/
approximation of a system with a finite length expansion. By flexibly tuning the basis …

Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system

W Mi, T Qian - Automatica, 2012 - Elsevier
This paper presents a new adaptive algorithm for frequency-domain identification. The
algorithm is related to the rational orthogonal system (Takenaka–Malmquist system). This …

Orthonormal basis functions for modelling continuous-time systems

H Akçay, B Ninness - Signal processing, 1999 - Elsevier
This paper studies continuous-time system model sets that are spanned by fixed pole
orthonormal bases. The nature of these bases is such as to generalise the well-known …

Robust H controller design using frequency‐domain data via convex optimization

A Karimi, A Nicoletti, Y Zhu - International Journal of Robust …, 2018 - Wiley Online Library
A new robust controller design method that satisfies the H∞ criterion is developed for linear
time‐invariant single‐input single‐output (SISO) systems. A data‐driven approach is …

System identification by discrete rational atoms

Q Chen, W Mai, L Zhang, W Mi - Automatica, 2015 - Elsevier
A novel adaptive frequency-domain system identification method for linear time-invariant
systems is proposed in this paper. It finds poles for discrete rational atoms with discrete …

Rational orthogonal bases satisfying the Bedrosian identity

L Tan, L Shen, L Yang - Advances in Computational Mathematics, 2010 - Springer
We develop a necessary and sufficient condition for the Bedrosian identity in terms of the
boundary values of functions in the Hardy spaces. This condition allows us to construct a …

Adaptive rational orthogonal basis functions for identification of continuous-time systems

W Mi, WX Zheng - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In this article, we present two algorithms for identification of continuous-time linear time-
invariant systems in frequency domain. These algorithms are constructed in terms of …

Basis pursuit for frequency‐domain identification

W Mi, T Qian, S Li - Mathematical methods in the Applied …, 2016 - Wiley Online Library
W. Sprößig In this paper, we propose a new adaptive method for frequency‐domain
identification problem of discrete LTI systems. It is based on a dictionary that is consisting of …

Hyperbolic wavelets and multiresolution in the Hardy space of the upper half plane

HG Feichtinger, M Pap - Blaschke products and their applications, 2013 - Springer
A multiresolution analysis in the Hardy space of the unit disc was introduced recently (see
Pap in J. Fourier Anal. Appl. 17 (5): 755–776, 2011). In this paper we will introduce an …

Convex design of a robust antiwindup controller for an LFT model

G Ferreres, JM Biannic - IEEE Transactions on Automatic …, 2007 - ieeexplore.ieee.org
In the context of a closed-loop LFT model, an LMI technique is proposed for the synthesis of
a static or dynamic antiwindup controller, which can be seen as a nontrivial extension of …