Assistant professor

Systems and Control Engineering

Indian Institute of Technology Bombay

Phone: +91-22-2576-5385

Email: vivek[dot]natarajan[at]iitb[dot]ac[dot]in

Experience

 

Assistant professor, Nov. 2015 - present

   Systems and Control, Indian Institute of Technology Bombay

Postdoctoral scholar, 2012 - 2015

    Electrical Engineering, Tel Aviv University

Education

 

PhD, Mechanical Engineering, University of Illinois at Urbana-Champaign

MS, Mathematics, University of Illinois at Urbana-Champaign

MS, Mechanical Engineering, The Ohio State University

BTech, Mechanical Engineering, Indian Institute of Technology Madras

Research areas

 

Distributed parameter systems, inverse problems, output regulation, adaptive control, power system stability, nonlinear Schrödinger equation, multiagent networks, repetitive control, periodic systems, vibration control.

Group members

 

Current

  Vaibhav Kumar Singh (PhD)

  Soham Chatterjee (PhD)

  Sudipta Chattopadhyay (PhD, jointly with S. Srikant)

  Ravit Anand (Dual degree, Mechanical, jointly with P. Gandhi)

  Nitin Tiwari (B.Tech, Mechanical)

Past

  Ankur Pandey (Project staff, 09/18 — 03/19)

Teaching

 

Autumn 2019

  SC 702 - Linear Systems Theory for PDEs

Past

  SC 702 - Control of distributed parameter systems

      (in Autumn 18)

  SC 636 - Theory of output regulation

      (in Autumn 16, Autumn 17)

  SC 202 - Signals and feedback systems (part 1)

      (in Spring 16, Spring 17, Spring 18, Spring 19)

  SC 602 - Control of nonlinear dynamical systems (part 2)

      (in Spring 17, Spring 18, Spring 19)

Sponsored projects

 

  Estimation of surface temperature and model parameters of a circular plate

    Applied Materials, Inc., Bangalore (Sept. 2019 — ongoing)

  Digital reconstruction of ancient Indian engineering via machine learning

    ICPS, DST (May 2019 — ongoing) (jointly with Bharath Shekar and Debasish Chatterjee)

  Adaptive parameter estimation and adaptive control of partial differential equations

    SERB, DST (Sept. 2018 — ongoing)

  Seed grant

    Industrial Research and Consultancy Centre, IIT Bombay (May 2016 — ongoing)

List of Publications

 

Google scholar profile

Journal

 

  1. V. Natarajan, H.-C. Zhou, G. Weiss, E. Fridman, ``Exact controllability of a class of nonlinear distributed parameter systems using back and forth iterations,'' Int. J. Control, 92, pp. 145-162, 2019.
  2. V. Natarajan, G. Weiss, ``Minimal order controllers for output regulation of nonlinear systems,'' IFAC J. Systems and Control , 7, pp. 1-15, 2019.
  3. O. Angatkina, V. Natarajan, Z. Chen, M. Ding, J. Bentsman, ``Modeling and control of resonance effects in steel casting mold oscillators,'' Acta Mechanica , 230, pp. 2087-2104, 2019
  4. V. Natarajan, G. Weiss, ``Almost global asymptotic stability of a grid-connected synchronous generator,'' Math. Control Signals Syst., 2018, doi:10.1007/s00498-018-0216-2.
  5. V.K. Singh, V. Natarajan, ``On the existence of stable real nth-order transfer functions with desired phase at n frequencies,'' IEEE Control System Letters, 2, pp. 695-700, 2018.
  6. V. Natarajan, G. Weiss, ``Synchronverters with better stability due to virtual inductors, virtual capacitors and anti-windup,'' IEEE Trans. Ind. Electronics, 64, pp. 5994-6004, 2017.
  7. V. Natarajan, J. Bentsman, ``Approximate local output regulation for nonlinear distributed parameter systems,'' Math. Control Signals Syst., 2016, doi:10.1007/s00498-016-0172-7.
  8. V. Natarajan, D.S. Gilliam, G. Weiss, ``State feedback regulator problem for regular linear systems,'' IEEE Trans. Autom. Control, 59, pp. 2708-2723, 2014.
  9. V. Natarajan, J. Bentsman, ``Adaptive projection-based observers and L1 adaptive controllers for infinite-dimensional systems with full-state measurement,'' IEEE Trans. Autom. Control, 59, pp. 585-598, 2014.
  10. J. Kim, V. Natarajan, S.D. Kelly, J. Bentsman, ``Partial difference equation based model reference control of a multiagent network of underactuated aquatic vehicles with strongly nonlinear dynamics,'' Nonlinear Analysis: Hybrid Systems, 4, pp. 513-523, 2010.
  11. J. Kim, V. Natarajan, S.D. Kelly, J. Bentsman, ``Disturbance rejection in robust PdE-based MRAC laws for uncertain heterogeneous multiagent networks under boundary reference,'' Nonlinear Analysis: Hybrid Systems, 4, pp. 484-495, 2010.
  12. D. Ye, V. Natarajan, B. Petrus, S. Zhang, J. Bentsman, ``Modelling, controller design, and computational tools for the closed-loop control of the cold flow fluidized bed riser,'' Nonlinear Phenomenon in Complex Systems, 12, pp. 119-129, 2009.
  13. J. Kim, K-D. Kim, V. Natarajan, S.D. Kelly, J. Bentsman, ``PdE-based model reference adaptive control of uncertain heterogeneous multiagent networks,'' Nonlinear Analysis: Hybrid Systems, 2, pp. 1152-1167, 2008.

 

Conference

 

  1. V. Natarajan, ``Stabilization of PDE-ODE cascade systems using Sylvester equations,'' 58th IEEE Conf. Decision and Control, Nice, 2019, accepted.
  2. G. Weiss, V. Natarajan, ``Modifications to the synchronverter algorithm to improve its stability and performance,'' 19th Int. Symp. Power Electronics Ee2017 , Novi Sad, Serbia, 2017.
  3. V. Natarajan, H.-C. Zhou, G. Weiss, ``How to establish the exact controllability of nonlinear DPS using iterations back and forth in time,'' American Control Conference, Seattle, pp. 2485-2490, 2017.
  4. G. Weiss, V. Natarajan, ``Stability of the integral control of stable nonlinear systems,'' Int. Conf. Science of Electrical Engineering, Eilat, Israel, 2016.
  5. O. Angatkina, V. Natarajan, Z. Chen, J. Bentsman, ``Capturing and suppressing resonance in steel casting mold oscillation systems using Timoshenko beam model,'' American Control Conf., Chicago, pp. 559-564, 2015.
  6. V. Natarajan, G. Weiss, ``A method for proving the global stability of a synchronous generator connected to an infinite bus,'' IEEE 28th Conv. Electrical and Electronics Eng. in Israel, Eilat, Israel, 2014.
  7. G. Weiss, V. Natarajan, ``Tracking controller for output voltage regulation in a boost converter,'' IEEE 28th Conv. of Electrical and Electronics Eng. in Israel, Eilat, Israel, 2014.
  8. V. Natarajan, G. Weiss, ``Almost global asymptotic stability of a constant field current synchronous machine connected to an infinite bus,'' 53rd IEEE Conf. Decision and Control, Los Angeles, pp. 3272-3279, 2014.
  9. V. Natarajan, G. Weiss, ``Minimal order controllers for output regulation of locally stable nonlinear systems,'' 53rd IEEE Conf. Decision and Control, Los Angeles, pp. 4709-4714, 2014.
  10. G. Weiss, D.S. Gilliam, V. Natarajan, ``Regulator equations for boundary control systems,'' 21st Int. Symposium on Math. Theory of Networks and Syst., Groningen, pp. 826-833, 2014.
  11. V. Natarajan, D.S. Gilliam, G. Weiss, ``The regulator equations for regular linear systems,'' 19th IFAC World Congress, Cape Town, pp. 5187-5192, 2014.
  12. V. Natarajan, G. Weiss, ``Improving the exponential decay rate by back and forth iterations of the feedback in time,'' 52nd IEEE Conf. on Decision and Control, Florence, pp. 2715-2719, 2013.
  13. V. Natarajan, G. Weiss, ``Behavior of a stable nonlinear infinite-dimensional system under the influence of a nonlinear exosystem,'' 1st IFAC Workshop on Control of Systems Governed by PDEs, Paris, pp. 155-160, 2013.
  14. V. Natarajan, J. Bentsman, ``Adaptive observers with projection operator and L1 adaptive controllers for infinite dimensional systems,'' Proc. of the American Control Conference, Montreal, pp. 3002-3007, 2012.
  15. V. Natarajan, J. Bentsman, ``Rejection of sinusoids from nonlinearly perturbed uncertain regular linear systems,'' Proc. of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, pp. 4931-4936, 2011.
  16. V. Natarajan, J. Bentsman, ``Robust periodic reference tracking by stable uncertain infinite-dimensional linear systems,'' American Control Conf., San Francisco, pp. 1777-1782, 2011.
  17. V. Natarajan, J. Bentsman, ``Robust rejection of sinusoids in stable nonlinearly perturbed unmodelled linear systems: Theory and application to servo,'' American Control Conference, San Francisco, pp. 3289-3294, 2011.

Awards and recognitions

 

Professional activities