Empirical Model Reduction of Controlled Nonlinear Systems [PDF]
, 1999 In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems results in the usual balanced truncation. For nonlinear
Glavaški, Sonja +2 more
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Second-order balanced truncation
Linear Algebra and its Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chahlaoui, Y. +3 more
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Balanced Truncation of Linear Time-Varying Systems [PDF]
IEEE Transactions on Automatic Control, 2004 In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas.
Sandberg, Henrik, Rantzer, Anders
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Balanced truncation of perturbative representations of nonlinear systems [PDF]
, 2007 The paper presents a novel approach for a balanced truncation style of model reduction of a perturbative representation of a nonlinear system. Empirical controllability and observability gramians for nonlinear systems are employed to define a projection ...
Condon, Marissa, Grahovski, Georgi G.
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Projection-free approximate balanced truncation of large unstable systems [PDF]
, 2015 In this article, we show that the projection-free, snapshot-based, balanced truncation method can be applied directly to unstable systems. We prove that even for unstable systems, the unmodified balanced proper orthogonal decomposition algorithm ...
Flinois, TLB, Morgans, AS, Schmid, PJ
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Development of an Improved Frequency Limited Model Order Reduction Technique and Error Bound for Discrete-Time Systems [PDF]
Radioengineering, 2021 Frequency limited model order reduction algorithm presented by Wang and Zilouchian for discrete-time systems provide unstable reduced-order models and also do not provide a priori error bound formula.
S. Batool +5 more
doaj
Reduced-dimensionality nonlinear distributed-parameter observer for fuel cell systems
Energy Reports, 2023 To ensure reliable and efficient operation of fuel cell systems, it is important to monitor them online. However, placing sensors inside the fuel cell is often challenging, so virtual sensing using an efficient state observer is used in this study ...
Martin Vrlić +4 more
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Balanced truncation for linear switched systems [PDF]
Advances in Computational Mathematics, 2018 35 pages, 5 figure, submitted to a special issue ...
Gosea, Ion Victor +3 more
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Balancing and model reduction for discrete-time nonlinear systems based on Hankel singular value analysis [PDF]
, 2004 This paper is concerned with balanced realization and model reduction for discrete-time nonlinear systems. Singular perturbation type balanced truncation method is proposed.
Heuberger P. +3 more
core +6 more sources
Recurrent selection of popcorn composites UEMCO1 and UEM-CO2 based on selection indices [PDF]
Crop Breeding and Applied Biotechnology, 2017 Selection indices were applied to data sets of 169 half-sib families of the popcorn composites UEM-Co1 and UEM-Co2 in four cycles of recurrent selection.
Rafael Augusto Vieira +3 more
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