A state-of-the-art survey of model order reduction techniques for large-scale coupled dynamical systems

Kumar, Ram; Ezhilarasi, D.

doi:10.1007/s40435-022-00985-7

Cited by 14 publications

(2 citation statements)

References 117 publications

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“…Several SVD-based model reduction methods have been proposed for linear systems and more realizations and extensions have been investigated and integrated to tackle the reduction of nonlinear systems; a review of linear and nonlinear models order reduction can be found in [11], [12]. The balanced Truncation (BT) method [2] is built based on both the controllability and observability Gramians for stable, linear systems.…”

Section: A Literature Reviewmentioning

confidence: 99%

Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics

Elsherif¹,

Taha²,

Abokifa³

et al. 2023

Preprint

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Tracing disinfectant (e.g., chlorine) and contaminants evolution in water networks requires the solution of 1-D advection-reaction (AR) partial differential equations (PDEs). With the absence of analytical solutions in many scenarios, numerical solutions require high-resolution time-and spacediscretizations resulting in large model dimensions. This adds complexity to the water quality control problem. In addition, considering multi-species water quality dynamics rather than the single-species dynamics produces a more accurate description of the reaction dynamics under abnormal hazardous conditions (e.g., contamination events). Yet, these dynamics introduces nonlinear reaction formulation to the model. To that end, solving nonlinear 1-D AR PDEs in real time is critical in achieving monitoring and control goals for various scaled networks with a high computational burden. In this work, we propose a novel comprehensive framework to overcome the large-dimensionality issue by introducing different approaches for applying model order reduction (MOR) algorithms to the nonlinear system followed by applying real-time water quality regulation algorithm that is based on an advanced model to maintain desirable disinfectant levels in water networks under multi-species dynamics. The performance of this framework is validated using rigorous numerical case studies under a wide range of scenarios demonstrating the challenges associated with regulating water quality under such conditions.

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Section: A Literature Reviewmentioning

confidence: 99%

Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics

Elsherif¹,

Taha²,

Abokifa³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…All these approaches are based on a state truncation, that is part of the system's evolution is neglected, thus leaving only the part related to the slow evolution. The interested reader can find up-to-date surveys on these and other model order reduction techniques in [11], [12], as well as more classic references such as [13], [14], [15], and [16].…”

Section: Introductionmentioning

confidence: 99%

Singular Perturbations for Implicit port-Hamiltonian systems

Spirito,

Maschke,

Le Gorrec

2024

2024 European Control Conference (ECC)

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In this work, we present the standard Singular Perturbations technique applied to Implicit port-Hamiltonian systems. The investigation produces a structure-preserving reduced-order model if certain additional passivity conditions are satisfied. Moreover, such an investigation provides a different insight into the standard Singular Perturbations approach relating the negligible time constant parameters ε to energy parameters. We analyze the deviation between the complete system model and the reduced one via a Lyapunov-based approach. We then conclude the paper by applying the proposed reduced order model to a DC-motor example to show the effectiveness of the development.

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A schematic study of dimension reduction techniques for complex high-order integer, fractional and interval systems

Goel,

Manocha

2024

Electr Eng

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A state-of-the-art survey of model order reduction techniques for large-scale coupled dynamical systems

Cited by 14 publications

References 117 publications

Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics

Comprehensive Framework for Controlling Nonlinear Multi-Species Water Quality Dynamics

Singular Perturbations for Implicit port-Hamiltonian systems

A schematic study of dimension reduction techniques for complex high-order integer, fractional and interval systems

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