I am a senior principal research scientist in the Control and Dynamical Systems group at Mitsubishi Electric Research Labs (www.merl.com), in Cambridge, Massachusetts, USA. I obtained a Ph.D. in Engineering Mechanics in 2010 from Virginia Tech, under the supervision of Shane Ross. My work involves a mix of basic and applied research at the intersection of nonlinear dynamical systems, mechanics and control. I am interested in theory, and applications of geometric/topological and operator-theoretic (or statistical) methods of phase space transport in dynamical systems.
My research is done in collaboration with colleagues at MERL & in academia, and graduate student interns/postdocs.
Dynamics and optimal collective control of large scale systems : My recent work has focussed on adapting optimal transport theory for optimal control of large population of interacting dynamic agents/swarms, merging numerical tools in operator theory and control theory. Current work is on developing low-order models for mean-field games (MFG) systems, and the associated analysis of bifurcations/phase transitions. The aim is to devise computationally tractable methods for inverse design of collective behavior of large population of interacting dynamic (real or virtual) agents, and understand/implement emergent behavior.
Model reduction and Optimization of (thermo-)fluid systems: Work in this area has focussed on 1). applying optimal control and large scale optimization methods to problems of airflow design and control in indoor environment, 2). Use of Data-driven operator theoretic methods (such as Dynamic Mode Decompositions (DMD)) for sparse sensing of bifurcations in complex flows, and 3). DNS based assessment of 1D reduced order models for Rayleigh-Benard convection.
Mixing in laminar fluid flows: This work developed topological and operator-theoretic tools for quantifying mixing in laminar flows, including bifurcation/breakup of almost-invariant sets.
Nonlinear vibration mitigation, and nonlinear energy transfers : This work involves analytically and numerically characterizing energy transfers in nonlinear energy sinks (NES) in multi-degree-of-freedom systems, by studying the low-order Hamiltonian approximations of the lightly damped systems.
Low-energy mission design in the three-body system : Low-fuel trajectories for multi-moon orbiter in the Jupiter system, as well as a lunar mission, were designed to exploit the sensitive dynamics of the restricted three-body problem.
Particle filtering : My work in this area has been on developing a data-driven algorithm for the implementation of the feedback particle filter (FPF).
(* denotes intern/postdoc hosted by Piyush Grover)
22). Reduced-order modeling of fully turbulent buoyancy-driven flows using the Green's function method Preprint
Physical Review Fluids, 2019. DOI: 10.1103/PhysRevFluids.4.013801 Chosen as Editor's suggestion.
M.A. Khodkar, Pedram Hassanzadeh, Saleh Nabi and Piyush Grover
21). On mean field games for agents with Langevin dynamics
IEEE Transactions on Control of Network Systems (TCNS), 2019 DOI:10.1109/TCNS.2019.2896975
Kaivalya Bakshi*, Piyush Grover and Evangelos Theodorou
20). Conceptual design study for heat exhaust management in the ARC fusion pilot plant Preprint
Kuang et. al.
19). Assignment and Control of Two-Tiered Vehicle Traffic Preprint
IEEE Conference on Decision and Control (CDC), 2018
Gustav Nilsson, Piyush Grover and Uros Kalabic.
18). A mean-field game model for homogeneous flocking Download
Chaos: An interdisciplinary journal of nonlinear science, 2018 DOI:10.1063/1.5036663
Piyush Grover, Kaivalya Bakshi* and Evangelos Theodorou
17). Optimal Transport over Deterministic Discrete-time Nonlinear Systems using Stochastic Feedback Laws Download
IEEE Control System Letters, 2018: DOI: 10.1109/LCSYS.2018.2855185
Karthik Elamvazhuthi*, Piyush Grover, and Spring Berman
16). Optimal transport over nonlinear systems via infinitesimal generators on graphs Download
Journal of Computational Dynamics, 2018 DOI: 10.3934/jcd.2018001
Karthik Elamvazhuthi* and Piyush Grover
15). Reinforcement Learning with Function-Valued Action Spaces for Partial Differential Equation Control Download
Thirty-fifth International Conference on Machine Learning (ICML) 2018.
Yangchen Pan, Amir-massoud Farahmand, Martha White, Saleh Nabi, Piyush Grover, Daniel Nikovski
14). Feedback Particle Filter with Data-Driven Gain-Function Approximation
IEEE Transactions on Aerospace and Electronic Systems, 2018 DOI: 10.1109/TAES.2018.2807559
Karl Berntorp and Piyush Grover
13). Optimal perturbations for nonlinear systems using graph-based optimal transport Download
Communications in Nonlinear Science and Numerical Simulation, 2017 DOI:10.1016/j.cnsns.2017.09.020
Piyush Grover and Karthik Elamvazhuthi*
12). Adjoint-based optimization of displacement ventilation flow Download
Building and Environment, 2017 DOI:10.1016/j.buildenv.2017.07.030
Saleh Nabi*, Piyush Grover and Colm-cille Caulfield
11). Sparse sensing and DMD based identification of flow regimes and bifurcations in complex flows Download
SIAM Journal on Applied Dynamical Systems, 2017. DOI:10.1137/15M104565X
Boris Kramer*, Piyush Grover, Petros Boufounos, Saleh Nabi* and Mouhacine Benosman
10). On optimal performance of nonlinear energy sinks in multiple-degree-of-freedom systems Download
Journal of Sound and Vibration (JSV) 2016. DOI:10.1016/j.jsv.2016.10.025
Astitva Tripathi*, Piyush Grover, Tamas Kalmar-Nagy
9). Learning to Control Partial Differential Equations: Regularized Fitted Q-Iteration Approach Download
IEEE Conference on Decision and Control (CDC) 2016.
Amir-massoud Farahmand, Saleh Nabi, Piyush Grover and Daniel Nikovski
8). Data-Driven Gain Computation in the Feedback Particle Filter Download
IEEE American Control Conference (ACC) 2016.
Karl Berntrop and Piyush Grover
7). Learning-based Reduced Order Model Stabilization for Partial Differential Equations Extended arXiv Version
IEEE American Control Conference (ACC) 2016
Mouhacine Benosman, Boris Kramer, Petros Boufounos, Piyush Grover
6). Model-free control framework for multi-limb soft robots Download
IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) 2015
Vishesh Vikas, Piyush Grover, Barry Trimmer
5). Design of Low Fuel Trajectory in Interior Realm as a Backup Trajectory for Lunar Exploration: Download
Transactions of the Japan Society for Aeronautical and Space Sciences, Aerosplace Technology Japan, 2014. DOI: 10.2322/tastj.12.Pd_47
Yuki Sato, Piyush Grover and Shoji Yoshikawa
4). Topological Chaos, Braiding and Bifurcation of Almost-cyclic Sets: Download
Chaos: An interdisciplinary journal of nonlinear science, 2012. DOI: 10.1063/1.4768666
Piyush Grover, Shane Ross, Mark Stremler and Pankaj Kumar
3). Optimized Three-Body Gravity Assists and Manifold Transfers in End-to-End Lunar Mission Design:Download
AAS/AIAA Space Flight Mechanics Meeting, 2012
Piyush Grover and Christian Anderson*
2). Topological Chaos and Periodic Braiding of Almost-Cyclic Sets: Download
Physical Review Letters, 2011. DOI: 10.1103/PhysRevLett.106.114101
Mark Stremler, Shane Ross, Piyush Grover, and Pankaj Kumar
1). Designing trajectories in a planet-moon environment using the controlled Keplerian map: Download
Journal of guidance, control, and dynamics, 2009. DOI:10.2514/1.38320
Piyush Grover and Shane Ross
1). System and method for controlling motion of spacecrafts: US Patent 8,655,589
Piyush Grover and Christian Anderson
2). System and Method for Estimating States of Spacecraft in Planet-Moon Environment: US Patent 9,114,893
Piyush Grover and Yuki Sato
3). System and method for controlling operations of air-conditioning system: US Patent 9,976,765
Mouhacine Benosman, Petros Boufounos, Boris Kramer, Piyush Grover
4). Multi-Agent Control System and Method: US Patent Application 15/340,015
Piyush Grover and Karthik Elamvazhuthi
5). Method for Data-Driven Learning-based Control of HVAC Systems using High-Dimensional Sensory Observations: US Patent Application 15/290,038
Amir-Massoud Farahmand, Saleh Nabi, Piyush Grover and Daniel Nikovski