Model Reduction (MOR)
 
Researchers Publications Links

Reduced Order Modeling (ROM) or Model Reduction (MOR)

Reduced Order Modeling (ROM) , Model Order Reduction (MOR), or simply Model Reduction is an area that has received much attention, particularly in the last 10-15 years. With increasing computerization and automation of the design process, in the electronics industry to mechanics & aerospace, the role of simulations has increased manifold. But reliable models comes with an increase of variables, increasing the time of simulations and cost. Hence the need for model reduction. The aim is to approximate the dynamic characteristics as faithfully as possible, while reducing the number of variables involved the model. In other words, to preserve the input-output characteristic to the extent possible, while reducing the number of state variables. Preservation of further properties like stability, passivity, etc. wherever possible, is also an additional reward.

Fields of Research in Model Order Reduction

  • Balanced Truncation Based
  • Krylov Subspace
  • Combination of the above
  • Parametric MOR
  • Nonlinear MOR
  • Applications

MOR Researchers

PhD

Masters

  • Current - Debashree Sarkar, Ammu Chathukulam, Poonam Tripathi.
  • Former - Ashish Mishra, Abid Bazaz, Neelajam Madda,Navneet Kaur, Rishidev Sharma, Malavika Mittal.

MOR Publications

Journals

2020

  • Shifali Kalra and M. Nabi, "A global maximum error controller based nonlinearity aware TPWL method for reducing nonlinear systems" Cybernetics and Systems, (Taylor & Francis), vol. 51 (4), pp. 370-382, 2020.

  • S. Kalra and M. Nabi, "Automated scheme for linearisation points selection in TPWL method applied to non-linear circuits," IET-The Journal of Engineering, vol. 2020, no. 1, pp. 41-49, 1 2020.

  • S. Kalra and M. Nabi, "TPWL Simulation of Large Nonlinear Circuits Using Subspace Angle-Based Adaptive Sampling, " IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 67, no. 3, pp. 575-579, March 2020.

    • 2019

  • Sudipta Saha, Syed Muhammad Amrr, Mashuq Un Nabi, Atif Iqbal, "Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing" IEEE Access, Vol. 7, pp. 113324-113334, August. 2019.

    • 2015

  • P. Guha, M. Nabi,"Reduced Order Finite Element Modeling of a Nonlinear System: An Application to Induction Heating System", International Journal of Engineering Systems Modelling and Simulation, Inderscience,Vol. 7 , No.4, 2015

  • P. Guha, M. Nabi, ""Reduced Order Modeling of a Microgripper using SVD-Second-Order Krylov Method", International Journal for Computational Methods in Engineering Science & Mechanics, Taylor & Francis, 16, 65-70, 2015.

    • 2013

  • Shahkar Ahmad Nahvi, Mashuq un Nabi and S. Janardhanan, "Piece-wise Quasi-linear Approximation for Nonlinear Model Reduction", IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 32, No. 12, pp. 2009-2013, Dec. 2013.

  • Shahkar Ahmad Nahvi, Mashuq un Nabi and S. Janardhanan, "Nonlinearity-aware sub-model combination in trajectory based methods for nonlinear Mor", Mathematics and Computers in Simulation, Elsevier, Volume 94, pp. 127- 144, August 2013.

  • Shahkar Ahmad Nahvi, Mashuq un Nabi and S. Janardhanan, "Trajectory Piece-wise quasi-linear approximation of large nonlinear dynamic systems", International Journal of Modeling, Identification and Control, Inderscience, Vol. 19, No. 4, pp. 369-377, Aug. 2013.

  • Shahkar Ahmad Nahvi, Mashuq un Nabi and S. Janardhanan, , "AFAS - Adaptive Fast Approximate Sim-ulation for nonlinear model reduction", International Journal of Modeling, Identification and Control, Inderscience, Vol. 19, No. 2, pp. 113-124, May 2013.

  • Mohammad Abid Bazaz, Mashuq-un-Nabi, S. Janaradhan, ,"Automated and Effective Order Selection in Krylov based Model Order Reduction", International Journal of Modelling, Identification and Control, Vol. 18, No. 4, pp. 332-340, 2013, doi: 10.1504/IJMIC.2013.053538.

  • Mohammad Abid Bazaz, Mashuq-un-Nabi, S. Janaradhan, " Modelling and Simulation Stratergy for Parametric Transient Electromagnetic Simulations", International Journal of Modelling, Identification and Control, Vol. 18, No. 3, pp. 251-260, 2013, doi: 10.1504/IJMIC.2013.052819.

    • 2012

  • P. Guha, M. Nabi, , "Optimal Control of a Nonlinear Induction Heating System using a Proper Orthogonal Decomposition based Reduced Order Model", Journal of Process Control, Elsevier, 22 (9), 1681-1687, 2012.

  • P. Guha, M. Nabi, "Estimation of Errors for a POD based Reduced Order System: Application to Induction Heating", International Journal of Computational Methods in Engineering Science and Mechanics (IJCMESM- Taylor & Francis), Vol 13, No. 5, pp. 334-341, Oct. 2012. doi : 10.1080/15502287.2012.698697

  • P. Guha and M. Nabi, "Model Reduction and Controller Design of a Nonlinear Heat Conduction Problem using Finite Element Method", Int. Journal of Automation & Computing (IJAC-Springer), Vol. 9, No. 5, pp. 474-479, Oct. 2012. doi : 10.1007/s11633-012-0669-6

    • Conferences

    2019

  • Apurba Das, M. Nabi, "A review on Soft Robotics: Modeling, Control and Applications in Human-Robot interaction", 2019 International Conference on Computing, Communication, and Intelligent Systems (ICCCIS), Noida, New Delhi, India, October 18-19, 2019.

  • Shifali Kalra, M. Nabi,"Reduced Order Modelling of Inverter Chain Circuit using Nonlinearity Aware TPWL", 6th International Conference on Control, Decision and Information Technologies (CoDiT 2019), Paris, France, April 23-26,2019.

  • Shifali Kalra, M. Nabi,"Reduced Modelling of Transmission Line Circuits using a Novel Nonlinearity Aware TPWL with Adaptive Sampling", 6th International Conference on Control, Decision and Information Technologies (CoDiT 2019), Paris, France, April 23-26,2019.

  • Sudipta Saha, M. Nabi,"Control of Axial Active Magnetic Bearing using Reduced Order Model", 8th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO'2019), Bahrain, April 15-17,2019.

  • Sudipta Saha, M. Nabi,"Model Order Reduction of Axial Active Magnetic Bearing", 9th International Conference on Cloud Computing, Data Science & Engineering(Confluence 2019), Noida, UP, India, 10-11 January 2019.

    • 2018

  • Sudipta Saha, M. Nabi,"Finite Element Modelling and Analysis of Axial Active Magnetic Bearing", 13th International Conference on Industrial and Information Systems (ICIIS 2018), Ropar, Punjab, India, 1-2 December 2018.

  • Ananya Roy, M. Nabi "Parametric Model Order Reduction Of Induction Heating System", 32nd European Conference on Modelling and Simulation, Wilhelmshaven, Germany 22-25 May 2018.

  • Ammu Chathukulam, Shifali Kalra, Debashree Sarkar, M. Nabi "Improved TPWL Based Nonlinear MOR For Fast Simulation Of Large Circuits", 32nd European Conference on Modelling and Simulation, Wilhelmshaven, Germany 22-25 May 2018.

  • Shifali Kalra, M. Nabi "Finite element modelling of pacemaker electrode for time varying excitation", 32nd European Conference on Modelling and Simulation, Wilhelmshaven, Germany 22-25 May 2018.

  • Ananya Roy, M. Nabi ,"Efficient Simulation of Electro-Thermal Microgripper using PMOR", 4th Indian Control Conference (ICC 2018), IIT Kanpur,UP, India, 4-6 January 2018.

    • 2017

  • Ananya Roy, M. Nabi "A Review on Modeling of few MEMS Devices and Further Issues", 2nd International Conference on Recent Developments in Control, Automation & Power Engineering (RDCAPE 2017), Noida, UP, India, 26-27 October 2017.

  • Shifali Kalra, M. Nabi "Implantable Bio-MEMS Applications: A Review", 2nd International Conference on Recent Developments in Control, Automation & Power Engineering (RDCAPE 2017), Noida, UP, India, 26-27 October 2017.

  • Sudipta Saha, M. Nabi "Analysis of Active Magnetic Bearing using Finite Element Method", 2nd International Conference on Recent Developments in Control, Automation & Power Engineering (RDCAPE 2017), Noida, UP, India, 26-27 October 2017.

  • Maria Cruz Varona, Mashuq-un-Nabi and Boris Lohmann "Automatic Adaptive Sampling in Parametric Model Order Reduction by Matrix Interpolation", IEEE International Conference on Advanced Intelligent Mechatronics (AIM 2017), Munich, Germany, 3-7 July 2017.

    • 2016

  • Sudipta Saha, M. Nabi, "A Review on Active Magnetic Bearing and Exploitation of Parametric Model Order Reduction", 11th International Conference on Industrial and Information Systems (ICIIS 2016), Roorkee, Uttarakhand, India, 3-4 December 2016.

    • 2015

  • P. Guha & M. Nabi, "Tracking and Control of Gripping Force of a Reduced Order Microgripper System", 10th Asian Control Conference, Malaysia, May, 2015

  • Mohammad Abid Bazaz, Shahkar Ahmad Nahvi, Mashuq-un- Nabi, S Janardhanan, M. U. Rehman "Adaptive Parameter Space Sampling in Matrix Interpolatory pMOR", IEEE-RDCAPE, Noida, U.P. , India, March 2015.

    • 2014


  • Shahkar Ahmad Nahvi, Mohammad Abid Bazaz, Mashuq-un- Nabi, S Janardhanan, "Fast Simulation of Nonlinear Dynamical Systems for Application in Reduced Order Modelling ", Proc. of the European control conference (ECC-2014), Strasbourgh, France, July 2014.

  • Shahkar Ahmad Nahvi, Mohammad Abid Bazaz, Mashuq-un- Nabi, S Janardhanan, "Approximate Snapshot-ensemble Generation for Basis Extraction in Proper Orthogonal Decomposition", Proc. of the Third International Conference on Advances in control and optimization of dynamical systems (ACODS- 2014), IIT Kanpur, Kanpur, India, March 2014.

    • 2013


  • P. Guha, M. Bazaz & M. Nabi, "Model Based Reduction for field circuit Coupled Systems" , International Conference on Computer Applications In Electrical Engg. Recent Advances, Roorkee, India, Oct 2013.

    • 2012

  • S. A. Nahvi, M. Nabi and S. Janardhanan, "Adaptive sampling of nonlinear system trajectory for Model Order Reduction", Proc. International Conference on Modelling, Identification and Control, Wuhan, China, June 2012, pp. 1249-1255.

  • S. A. Nahvi, M. Nabi and S. Janardhanan, "A Quasi-linearisation approach to trajectory based methods for nonlinear MOR", Proc. International Conference on Modelling, Identification and Control, Wuhan, China, June 2012, pp. 217-222.

  • S. A. Nahvi, M. Nabi and S. Janardhanan, "Trajectory based methods for nonlinear MOR: Review and Perspectives", Proc. of the 2012 IEEE International Conference on Signal Processing, Computing and Control, Shimla, India, March 2012, pp. 1-6.

  • S. A. Nahvi, M. Nabi, "Optimal control of a heat conduction problem using its low order approximation", Proceedings of IEEE International Conference on Power, Signals, Controls and Computation, Thrissur, India, Jan. 2012, pp.1-6.

  • M.A. Bazaz, M. Nabi, S. Janardhanan, " Parameterized Model Order Reduction for fast transient electromagnetic simulations", IEEE Sponsored International Conference on Power, Signals, Controls and Computation, EPSCICON-2012, Thrissur, Kerela, pp. 1-4, 3-6 Jan. 2012. doi: 101109/EPSCICON.2012.6175271.

  • M.A. Bazaz, M. Nabi, S. Janardhanan, " A review of Parametric Model Order Reduction Techniques", IEEE Sponcered International Conference on Signal Processing, Computing and Control, ISPCC-2012, Simla, pp. 1-6, 15-17 March 2012. doi:10.1109/ISPCC.2012.6224356.

  • M.A. Bazaz, M. Nabi, S. Janardhanan, "Two-step reduction procedure for parametric transient electromagnetic computations", IEEE Sponsored International Conference on Modelling, Identification and Control, ICMIC-2012, Wuhan, China, pp. 1204-1209, 24-26 June 2012.

  • M.A. Bazaz, M. Nabi, S. Janardhanan, " A stopping criterion for Krylov based Model Order Reduction Techniques", IEEE Sponsored International Conference on Modelling, Identification and Control, ICMIC-2012, Wuhan, China, pp. 921-925, 24-26 June 2012.

    • 2011


  • P. Guha & M. Nabi, "Reduced Order Modeling and Robust Controller Design for a Heat Conduction Problem", International Conference on Image Information Processing (ICIIP), Simla, India, Nov, 2011.

  • P. Guha, S. A. Nahvi & M. Nabi, "Optimal Control of Temperature Profile for a Distributed Parameter Heat Conduction Problem with Generic Nontrivial geometry using Krylov Projection based Model Order Reduction", 3rd International Conference on Control and Optimization with Industrial Applications, Ankara, Turkey, Aug 2011.

  • M.A. Bazaz, M. Nabi, " Krylov subspace based reduced order modelling of induction heating systems", IEEE Sponsored International Conference on Process Automation, Control and Computing, PACC_2011, Coimbatore, pp. 1-5, 20-22 July, 2011. doi: 10.1109/PACC.2011.5978998.

    • 2009


  • M. Nabi, M. Bazaz, P. Guha, "Krylov-Subspace Based Model Order Reduction for Field-Circuit Coupled Systems", 19th European Conference on Circuit theory and design 2009 (ECCTD '09), Antalya, Turkey, 23rd -27th August, 2009, pp. 480-484.

  • P. Guha & M. Nabi, "Reduced order finite element based modeling and simulation for thermal processing of 3D work-piece with nonlinear materials and generic geometries",2nd International Conference on Automation & Information Technology in Iron & Steel Making Processes, Ranchi, India, Dec 2009.

  • P. Guha & M. Nabi, "Comparative study of Krylov and POD based model reduction methods for nonlinear electrothermal induction heating system", 2nd International Conference on Automation & Information Technology in Iron & Steel Making Processes , Ranchi, India, Dec 2009.

  • P. Guha & M. Nabi, "A Control law for a nonlinear heat conduction problem on nontrivial domains using FEM", 17th Mediterranean Conference on Control & Automation (MED'09), Thessaloniki, Greece, June, 2009.


    • Usefull links for MOR

  • A wiki on MOR
  • Matlab page on MOR
  • The MOR Lab (MORLAB) in TU Munich
  • A good resoursce page
  • Page on pMOR in IMTEK - Simulation, University of Freiburg
  • MOR page in Max Planck Institute in Magdeburg

    • Sites with Benchmark problems

  • Oberwolfach Model Reduction Benchmark Collection
  • Benchmark Examples for Model Reduction
  • MORwiki - Benchmark Problems

    • Academic Research Research Students Publications Projects