Vivek Natarajan

Associate 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

Associate professor, May 2021 - present

Systems and Control, Indian Institute of Technology Bombay

Assistant professor, 2015 - 2021

Systems and Control, Indian Institute of Technology Bombay

Postdoctoral scholar, 2012 - 2015

Electrical Engineering, Tel Aviv University

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

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

Current

Soham Chatterjee (PhD)

Sudipta Chattopadhyay (PhD, jointly with S. Srikant)

Bhargav Pavan Kumar (MTech + PhD, PMRF recipient)

Debashis Tarai (MTech)

Past

Vaibhav Kumar Singh (PhD, 2021)

Hemil Kothari (Dual degree, Mechanical, jointly with P. Gandhi, 2021)

Ravit Anand (Dual degree, Mechanical, jointly with P. Gandhi, 2020)

Nitin Tiwari (B.Tech, Mechanical, 2020)

Vignesh Ramakrishnan (Project staff, 07/20 — 04/21)

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

Autumn 2021

SC 625 - Systems Theory

Past

SC 702 - Control of distributed parameter systems

(in Autumn 18, Autumn 19, Spring 21)

SC 636 - Theory of output regulation

(in Autumn 16, Autumn 17)

SC 625 - Systems Theory

(in Autumn 20)

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

(in Spring 17, Spring 18, Spring 19, Spring 20)

SC 202 - Signals and feedback systems (part 1)

(in Spring 16, Spring 17, Spring 18, Spring 19, Spring 20)

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 — May 2021)

** Journal **

- V.K. Singh, V. Natarajan, ``Finite-dimensional controllers for consensus in a leader-follower network of marginally unstable infinite-dimensional agents,''
*IEEE Control System Letters*, vol. 6, pp. 590-595, 2021 (accepted for presentation at CDC 2021). - V. Natarajan, ``Compensating PDE actuator and sensor dynamics using Sylvester equation,''
*Automatica*, 2021, https://doi.org/10.1016/j.automatica.2020.109362 - V.K. Singh, V. Natarajan, ``Reduced-order controllers for multi-agent consensus using output regulation viewpoint,''
*Automatica*, 2020, https://doi.org/10.1016/j.automatica.2020.109062 - 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. - V. Natarajan, G. Weiss, ``Minimal order controllers for output regulation of nonlinear systems,''
*IFAC J. Systems and Control*, 7, pp. 1-15, 2019. - 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 - 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. - V.K. Singh, V. Natarajan, ``On the existence of stable real
*n*^{th}-order transfer functions with desired phase at*n*frequencies,''*IEEE Control System Letters*, 2, pp. 695-700, 2018. - 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. - 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. - V. Natarajan, D.S. Gilliam, G. Weiss, ``State feedback regulator problem for regular linear systems,''
*IEEE Trans. Autom. Control*, 59, pp. 2708-2723, 2014. - 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. - 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. - 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. - 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. - 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**

- A.A. Paranjape, V. Natarajan, S. Ghosh, ``Transient and asymptotic properties of robust adaptive controllers in the presence of non-coercive Lyapunov functions,''
*60th IEEE Conf. Decision and Control*, Austin, 2021, accepted. - S. Chatterjee, V. Natarajan, ``Steady-state to steady-state transfer of PDEs using semi-discretization and flatness,''
*59th IEEE Conf. Decision and Control*, Jeju Island, pp. 4454-4459, 2020. - P. Lorenzetti, G. Weiss, V. Natarajan, ``Integral control of stable nonlinear systems based on singular perturbations,''
*21st IFAC World Congress*, Berlin, pp. 6157-6164, 2020. - V. Natarajan, ``Stabilization of PDE-ODE cascade systems using Sylvester equations,''
*58th IEEE Conf. Decision and Control*, Nice, pp. 5906-5911, 2019. - 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. - 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. - G. Weiss, V. Natarajan, ``Stability of the integral control of stable nonlinear systems,''
*Int. Conf. Science of Electrical Engineering*, Eilat, Israel, 2016. - 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. - 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. - 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. - 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. - 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. - 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. - V. Natarajan, D.S. Gilliam, G. Weiss, ``The regulator equations for regular linear systems,''
*19th IFAC World Congress*, Cape Town, pp. 5187-5192, 2014. - 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. - 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. - 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. - 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. - V. Natarajan, J. Bentsman, ``Robust periodic reference tracking by stable uncertain infinite-dimensional linear systems,''
*American Control Conf.*, San Francisco, pp. 1777-1782, 2011. - 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.

- Outstanding reviewer for IEEE Transactions on Automatic control, 2015 and 2016.
- Postdoctoral scholarship at Tel Aviv University, 2012.
- Graduate college travel grant award at UIUC, Spring 2011.
- Included in the "List of teachers ranked as excellent by their students" at UIUC,
- University fellowship at The Ohio State University, 2004.
- Seventh rank in the Karnataka Regional Mathematics Olympiad, 1997-98.

Fall 2009.

- Member of Conference Editorial Board of IEEE Control Systems Society (July 2018 — present).
- Presented at the ISRO workshop on "Control Systems for Space Application", Bangalore, April 2017.
- Participated in the 5th Elgersburg School, Elgersburg, Germany, 2013.
- Participated in the "Arizona School of Analysis and Mathematical Physics," Tucson, 2012.
- Presented at the "Annual meeting of the Continuous Casting Consortium" held at UIUC, 2008 - 2011.