On the reduction of Linear Parameter-Varying State-Space models

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G. Wood, P. Goddard, and K. Glover, “Approximation of linear parameter-varying systems,” in Proceedings of 35th IEEE Conference on Decision and Control , vol. 1, Kobe, Japan, 1996, pp. 406–411

1996

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A. Kwiatkowski, M.-T. Boll, and H. Werner, “Automated Generation and Assessment of Affine LPV Models,” in Proceedings of the 45th IEEE Conference on Decision and Control . San Diego, CA, USA: IEEE, 2006, pp. 6690–6695

2006

Earlier work this paper cites.

C. Beck, “Coprime factors reduction methods for linear parameter varying and uncertain systems,” Systems & Control Letters , vol. 55, no. 3, pp. 199–213, Mar. 2006

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A. Kwiatkowski and H. Werner, “PCA-Based Parameter Set Mappings for LPV Models With Fewer Parameters and Less Overbounding,” IEEE Transactions on Control Systems Technology , vol. 16, no. 4, pp. 781–788, Jul. 2008

2008

Earlier work this paper cites.

R. Tóth, “Modeling and Identification of Linear Parameter-Varying Systems: an Orthonormal Basis Function Approach,” Ph.D. dissertation, Delft Center for Systems and Control (DCSC), Delft University of Technology, 2008

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R. Tóth, Modeling and Identification of Linear Parameter-Varying Systems . Springer, Heidelberg, 2010

2010

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J. De Caigny, J. F. Camino, and J. Swevers, “Interpolation-Based Modeling of MIMO LPV Systems,” IEEE Transactions on Control Systems Technology , vol. 19, no. 1, pp. 46–63, Jan. 2011

2011

Cited alongside, same era.

C. Hoffmann and H. Werner, “A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations,” IEEE Transactions on Control Systems Technology , vol. 23, no. 2, pp. 416–433, Mar. 2015

2015

Cited alongside, same era.

M. Bastug, M. Petreczky, R. Toth, R. Wisniewski, J. Leth, and D. Efimov, “Moment matching based model reduction for LPV state-space models,” in 2015 54th IEEE Conference on Decision and Control (CDC) . Osaka: IEEE, Dec. 2015, pp. 5334–5339

2015

Cited alongside, same era.

S. Z. Rizvi, J. Mohammadpour, R. Toth, and N. Meskin, “A Kernel-Based PCA Approach to Model Reduction of Linear Parameter-Varying Systems,” IEEE Transactions on Control Systems Technology , vol. 24, no. 5, pp. 1883–1891, Sep. 2016

2016

A. Sadeghzadeh, B. Sharif, and R. Tóth, “Affine linear parameter-varying embedding of non-linear models with improved accuracy and minimal overbounding,” IET Control Theory & Applications , vol. 14, no. 20, pp. 3363–3373, Dec. 2020

2020

Later among the works it cites.

P. Koelewijn and R. Toth, “Scheduling Dimension Reduction of LPV Models - A Deep Neural Network Approach,” in 2020 American Control Conference (ACC) . IEEE, Jul. 2020, pp. 1111–1117

2020

Later among the works it cites.

P. den Boef, P. B. Cox, and R. Tóth, “LPVcore: MATLAB Toolbox for LPV Modelling, Identification and Control,” 2021

2021

Later among the works it cites.

A. Sadeghzadeh and P.-L. Garoche, “Autoencoder Neural Networks for LPV Embedding of Nonlinear Systems,” IFAC-PapersOnLine , vol. 56, no. 2, pp. 9062–9067, 2023

2023

Later among the works it cites.

MathWorks, “Reduced Order Modeling of a Nonlinear Dynamical System as an Identified Linear Parameter Varying Model,” 2023