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Award Abstract #0325227
ITR/AP: Collaborative Research: Model Reduction of Dynamical Systems for Real-time Control
| NSF Org: |
CCF
Division of Computer and Communication Foundations
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| Initial Amendment Date: |
August 21, 2003 |
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| Latest Amendment Date: |
July 12, 2006 |
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| Award Number: |
0325227 |
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| Award Instrument: |
Continuing grant |
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| Program Manager: |
Almadena Y. Chtchelkanova
CCF Division of Computer and Communication Foundations
CSE Directorate for Computer & Information Science & Engineering
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| Start Date: |
September 1, 2003 |
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| Expires: |
August 31, 2008 (Estimated) |
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| Awarded Amount to Date: |
$958502 |
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| Investigator(s): |
Ahmed Sameh sameh@cs.purdue.edu (Principal Investigator)
Christoph Hoffmann (Co-Principal Investigator)
Ananth Grama (Co-Principal Investigator)
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| Sponsor: |
Purdue University
Young Hall
West Lafayette, IN 47907 765/494-4600
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| NSF Program(s): |
ITR MEDIUM (GROUP) GRANTS
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| Field Application(s): |
0000099 Other Applications NEC
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| Program Reference Code(s): |
HPCC, 9216, 1652
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| Program Element Code(s): |
1687
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ABSTRACT
This project proposes to extend the methods we have developed for model reduction of large-scale Linear Time Invariant (LTI) systems to a new regime of problems that require adaptive models. In particular, we will consider large-scale structured problems that are either time-varying, or which require adaptive updating of the initial reduced models to obtain better approximation properties.
Intellectual Merit
The research proposed here will provide efficient and robust methods for producing reduced order models of large state-space systems. This activity is expected to have an impact on system theory of complex systems, parallel numerical linear algebra for large-scale problems, and on efficient implementation of these schemes on parallel and distributed platforms. Once the theory and computational methods are developed, we expect that high quality software will result and have applications in many areas of engineering. This will enable the design of real time controllers for complex systems. This project will also have an impact on the education of students in computational science and engineering, both at the undergraduate and the graduate levels.
Broader Impact
The proposed project leverages extensively the existing intellectual and equipment infrastructure at Purdue, Rice, and Florida State Universities, as well as the Catholic University of Louvain, Belgium. The overall group of PI's and senior personnel bring extensive expertise and experience in dynamical systems, model reduction, control theory, seismic design and analysis of structures, numerical linear algebra, geometric modeling, data analysis and visualization, and parallel computing. In fact, collectively, they have had experience in designing and implementing numerical linear algebra algorithms on most of the significant high-performance commercial architectures and many of the experimental parallel architectures since the Illiac IV (designed and built in the late 1960's!). The three groups complement one another perfectly and are well-poised to successfully realize the goals of this proposal.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH
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A. Irfanoglu and C. Hoffmann. "An Engineering Perspective of the Collapse of WTC-1," ASCE J. Perf. of Constructed Facilities, v.22, 2008.
A. Irfanoglu and S. Freeman. "Using the Earthquake Engineering Intensity Scale to Improve Urban Area Earthquake Emergency Response," Proc. 8th U.S. National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, 2006.
A. Kuzminykh and C. Hoffmann. "On Validating STEP Product Data Exchange," Computer-Aided Design, 2007.
Asad Awan, Ahmed Sameh, and Ananth Grama. "The Omni Macroprogramming Environment for Sensor Networks," Proceedings of 5th International Conference on Computational Science, 2006.
Asad Awan, Ahmed Sameh, Suresh Jagannathan, and Ananth Grama. "Building Verifiable Sensing Applications Through Temporal Logic Specifications," International Conference on Computational Science, 2007.
Asad Awan, Ahmed Sameh, Suresh Jagannathan, and Ananth Grama. "Verifiable Sensor Application Development," Proceedings of 6th International Conference on Computational Science, 2007.
Asad Awan, Ronaldo A. Ferreira, Suresh Jagannathan, Ananth Grama. "Unstructured Peer-to-Peer Networks for Sharing Processor Cycles," Parallel Computing, v.32, 2006.
Asad Awan, Ronaldo Ferreira, Suresh Jagannathan, and Ananth Grama. "Unstructured Peer-to-Peer Networks for Sharing Processor Cycles," Parallel Computing, v.32, 2006, p. 115.
Asad Awan, Suresh Jagannathan, and Ananth Grama. "Macroprogramming Heterogeneous Sensor Networks Using COSMOS," EuroSys, 2007.
Asad Awan, Suresh Jagannathan, and Ananth Grama. "Macroprogramming Heterogeneous Sensor Networks Using COSMOS," Proceedings of EUROSYS, 2007.
Bogdan Carbunar, Ananth Grama, and Jan Vitek. "Distributed and Dynamic Voronoi Overlays for Coverage Detection and Distributed Hash Tables in Ad-Hoc Networks," International Conference on Parallel and Distributed Systems, 2004.
Bogdan Carbunar, Ananth Grama, Jan Vitek, Octavian Carbunar. "Redundancy and Coverage Detection in Sensor Networks," ACM Transactions on Sensor Networks, v.2, 2006.
Bogdan Carbunar, Murali Ramanathan, Mehmet Koyuturk, Christoph Hoffmann, and Ananth Grama. "Redundant-Reader Elimination in RFID Systems," IEEE Sensor and Ad Hoc Communications and Networks, 2005.
C. Hoffmann. "Solid Modeling," Handbook of Discrete and Computational Geometry, 2004.
C. Hoffmann. "Constraint-Based CAD," JCISE, v.5:3, 2005.
C. Hoffmann. "Summary of Basic 2D Constraint Solving," Intl. J. Prod. Lifecycle Mgmt, v.1:2, 2006.
C. Hoffmann and N. Stewart. "Accuracy and Semantics in Shape-Interrogation Applications," Graphical Models, v.67:5, 2005.
C. Hoffmann and R. Joan-Arinyo. "A Brief on Constraint Solving," CAD, 2005.
C. Hoffmann and W. Yang. "Compliant Motion Constraints," Proc. Asian Symp. on Comp. Math., 2004.
C. Hoffmann, A. Sameh and A. Grama. "High-Fidelity Simulation of Large Scale Structures," Proc. Comp. Sci - ICCS, 2005.
C. Hoffmann, V. Popescu, S. Kilic and M. Sozen. "Modeling, Simulation and Visualization: The Pentagon on September 11th," IEEE Comp. in Sci. and Engr., 2004.
C. Hoffmann, Z. Pizlo, V. Popescu, P. Rosen. "Study of the Perception of 3D Spatial Relations for a Volumetric Display," SPIE Journal of Electronic Imaging, v.15, 2006.
C. Hoffmann, Z. Pizlo, V. Popescu, S. Price. "Perception of Surfaces from Line Drawings," Elsevier Journal Displays, v.28, 2007.
J. Griffiths, A. Irfanoglu, and S. Pujol. "Istanbul at the Threshold: An Evaluation of the Seismic Risk in Istanbul," Earthquake Spectra, v.23, 2007.
Muralikrishna Ramanathan, Ronaldo Ferreira, Suresh Jagannathan, Ananth Grama, and Wojciech Szpankowski. "Randomized Leader Election," Distributed Computing, v.19, 2007.
P. Rosen, Z. Pizlo, C. Hoffmann and V. Popescu. "Perception of 3D Spatial Relations in 3D Images," Proc. 16th SPIE Symp. on Electron. Imag., 2004.
R. Sambavaram, Vivek Sarin, Ahmed Sameh and Ananth Grama,. "Multipole-Based Preconditioners for Large Sparse Linear Systems," Parallel Computing, v.29, 2005, p. 1261.
Ronaldo Ferreira, Suresh Jagannathan, and Ananth Grama. "Locality in Structured Peer-to-Peer Networks," Journal of Parallel and Distributed Computing, v.66, 2006, p. 257.
T. Peters, J. Bisceglio, D. Ferguson, C. Hoffmann, T. Maekawa, N. Patrikalakis, T. Sakkalis and N. Stewart. "Computational Topology for regular closed sets," Topology Atlas, v.9, 2004.
V. Popescu and C. Hoffmann. "Fidelity in Large-Scale Simulations," CAD, v.37, 2005.
V. Popescu and C. Hoffmann. "CAD Visualization by Outsourcing," CAD, 2007.
Y. Kim and C. Hoffmann. "Dynamic Proximity Calculations for Situation Awareness," Naval Research and Logistics, v.51, 2004.
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