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Coupling time-varying modal analysis and FEM for real-time cutting simulation of objects with multi-material sub-domains
2016
Computer Aided Geometric Design
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and couple all the sub-domains' physical behaviors together by imposing adjacent sub-domains' geometric-continuity constraints. ...
in terms of efficiency, accuracy, and unconditional stableness in practical graphics applications. ...
When we have multiple sub-domains, we only need to assemble these interfaces' constraints into a constraint equation system and include it into our system equations. ...
doi:10.1016/j.cagd.2016.02.014
fatcat:vauquuycfbgxvkkqjbku7ayzeq
Multi-agent model predictive control of signaling split in urban traffic networks
2010
Transportation Research Part C: Emerging Technologies
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The framework decomposes a centralized model predictive control problem into a network of coupled, but small sub-problems that are iteratively solved by the distributed agents. ...
Theoretical results ensure convergence of the distributed iterations to a globally optimal solution. The framework is applied to the signaling split control of traffic networks. ...
While TUC uses equation (4) to model the system and objective (5) to compute a feedback gain matrix, it is more appropriate for the MPC framework to express the control problem in terms of objective (10a ...
doi:10.1016/j.trc.2009.04.022
fatcat:w7ec7qqjgnajnci44ravu7i42i
An Optimization Code for Nonlinear Transient Problems of a Large Scale Multidisciplinary Mathematical Model
2009
TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES SPACE TECHNOLOGY JAPAN
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The program constructs the global matrix of the dynamic system in the time direction by the p-version finite element method (pFEM), and the basic matrix for each pFEM node in the time direction is described ...
It also has a relatively low computational cost, and is suited to parallel computation. ...
Optimization Method Algorithm
Definition of nonlinear constraint equation in matrix form The fundamental constraint equation of the transient problem is defined by the following matrix formula: To solve ...
doi:10.2322/tstj.7.pc_93
fatcat:yoixcdmzejhe7nwci5mfghn2qy
Robust Decentralized Dynamic Output Feedback Controller Design for Power Systems: An LMI Approach
2007
2007 IEEE International Conference on System of Systems Engineering
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The paper also presents algorithms for solving the iterative LMI programming problem to determine (sub)-optimally the PSSs parameters. ...
The resulting optimization problem has bilinear matrix inequalities (BMIs) form which is solved using an iterative LMIs programming method. ...
Y : (23) is an NP-hard non-convex optimization problem due to the coupling constraints of the bilinear matrix equation in (15) . ...
doi:10.1109/sysose.2007.4304309
dblp:conf/sysose/BefekaduE07
fatcat:timw2sdjojdrrnj3uaibjvmzw4
A unified approach for inverse and direct dynamics of constrained multibody systems based on linear projection operator: applications to control and simulation
2005
IEEE Transactions on robotics
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Thus, a simulation may proceed even in the presence of redundant constraints or singular configurations and a controller does not need to change its structure whenever the mechanical system changes its ...
The main advantage of the formulation of the dynamic is that it does not require the constraint equations to be linearly independent. ...
The classical method to deal with DAE is to express the constraint condition at the acceleration level. ...
doi:10.1109/tro.2005.851380
fatcat:pnubzj5chbe2rmryplrs2ymugq
FPGA implementation of an interior point method for high-speed model predictive control
2014
2014 24th International Conference on Field Programmable Logic and Applications (FPL)
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In contrast to existing FPGA implementations, the proposed solution exploits the MPC-specific problem structure with the direct linear equation solver and uses an efficient predictor-corrector algorithm ...
industrial control applications. ...
The au-thors would like to acknowledge the provision of FPGA test framework from Dr. Andrea Suardi [21] , and the support of EPSRC (Grant references EP/I020357/1 and EP/I012036/1). ...
doi:10.1109/fpl.2014.6927473
dblp:conf/fpl/LiuPBC14
fatcat:r3m3snvl4rdfxmpzqg66b33lw4
A Decentralized Implementation of DC Optimal Power Flow on a Network of Computers
2005
IEEE Transactions on Power Systems
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The workstations take part in an iterative process, exchanging information with each other and solving regional OPF sub-problems, until the global OPF solution is reached. ...
Each workstation is assigned to a regional Transmission System Operator (TSO), who manages the operation of the transmission system of his own region, as well as cross-border exchanges with neighboring ...
The decentralized DC-OPF solution is achieved through an iterative algorithm, in which every area solves its own modified DC-OPF sub-problem and exchanges tie-line information with its neighboring areas ...
doi:10.1109/tpwrs.2004.831283
fatcat:ai32bbzvrzbuxgnzupiykqd3m4
Highly Parallelizable Low-Order Dynamics Simulation Algorithm for Multi-Rigid-Body Systems
2000
Journal of Guidance Control and Dynamics
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with the jth set of constraint loads and the ith set of constraint equations portion of g" that is explicit in the unknown constraint load measure numbers intermediate variable matrix used in the recursive ...
The usually sparse linear system of equations in the constraint load measure numbers may be solved using a special
iterative parallel procedure such as a PCG method. ...
doi:10.2514/2.4531
fatcat:o5xlgnkc2vhi7dm4kpt4rh6md4
Recursive thoughts on the simulation of the flexible multibody dynamics of slender offshore structures
2017
IOP Conference Series: Materials Science and Engineering
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In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. ...
It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. ...
These structures are subject of study in a wide variety of applications such as design optimization, operability studies, real time control and so on. ...
doi:10.1088/1757-899x/276/1/012029
fatcat:vd7qihj26zathml6wo43blevxa
A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
[article]
2021
arXiv
pre-print
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The main idea centers on developing multigrid components in a blocked fashion where each block corresponds to separate sets of physical unknowns and equations within the larger discretization matrix. ...
We demonstrate the potential of the framework by applying it to representative linear solution sub-problems arising from resistive MHD. ...
This term adds to the stability of the VMS form [12, 13, 2, 50] and also enhances the ability to iteratively invert the magnetic induction sub-block in the Jacobain matrix by physics-based and approximate ...
arXiv:2103.07537v2
fatcat:z7o2t27q3vfbfcvsxzw24tbsai
Algebraic multigrid methods for saddle point systems arising from mortar contact formulations
[article]
2021
arXiv
pre-print
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2021 pre-print arXiv:1912.09056v2 fatcat:p6dvalnocbhividz3zu66k5wcuOther Versions
equations with contact constraints and (ii) a review of saddle point smoothers in the context of constrained interface problems. ...
While the idea of extending multigrid methods to saddle point systems can already be found, e.g., in the context of Stokes and Oseen equations in literature, the main contributions of this work are (i) ...
For interface-coupled problems with interface constraints it is more difficult. ...
arXiv:1912.09056v3
fatcat:4ore6ahxfjh2xlokdcyngmbcb4
On the use of Anderson acceleration in hierarchical control
[article]
2021
arXiv
pre-print
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This paper investigates the use of fixed-point Anderson acceleration method (AA) to a recently proposed hierarchical control framework. ...
The paper also presents a modified version of the original hierarchical approach that involves the AA in hierarchical control. ...
FP is attractive as it enables to solve the above equation in a derivative-free setting in which only black-box calls to the G operator are involved. ...
arXiv:2112.04299v1
fatcat:ldige4yaarbzdgewsc5khypql4
A novel constrained LArge Time INcrement method for modelling quasi-brittle failure
2013
Computer Methods in Applied Mechanics and Engineering
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The performance of the method is verified by its application to numerical examples exhibiting snap-back and bifurcation phenomena in their mechanical response. ...
A novel LArge Time INcrement (LATIN) method is developed. At variance with existing LATIN methods, the proposed algorithm is capable of tracing snap-backs in quasi-brittle materials. ...
Acknowledgement The support of this research by the Bijzonder Onderzoeksfonds Doctoral Funding program of Hasselt University (BOF-DOC) is gratefully acknowledged. ...
doi:10.1016/j.cma.2013.06.005
fatcat:7zno4m4hmjb73ax7biblcdsmzm
Jacobian-free Newton–Krylov methods: a survey of approaches and applications
2004
Journal of Computational Physics
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Various approximations to the Jacobian matrix may still be required for preconditioning the resulting Krylov iteration. ...
As with Krylov methods for linear problems, successful application of the JFNK method to any given problem is dependent on adequate preconditioning. ...
Acknowledgements The authors thank all of their co-authors and co-explorers in Newton-Krylov methodology over the past dozen years, especially S. Balay ...
doi:10.1016/j.jcp.2003.08.010
fatcat:w26jxxlalngzbogwvaa5efazgm
Cooperative Control of Microgrids: A Review of Theoretical Frameworks, Applications and Recent Developments
2021
Energies
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Though the basic concept of cooperative action in microgrids is intuitively well-understood, a comprehensive survey of this approach with respect to its limitations and wide range of potential applications ...
The objective of this paper is to provide a broad overview of cooperative control theory as applied to microgrids, introduce other possible applications not previously described, and discuss recent advances ...
Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable.
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/en14238026
fatcat:ikt7vx7kunhj7gupmbmsv62hg4
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