Research

My research interests lie in stochastic stability analysis, developing system theoretic and Koopman operator theoretic methods for several applications in power systems, microgrids, and cyber-physical systems.

Koopman Operator Theory

Distributed Koopman operator computation. See here
Attack detection from streaming data using Koopman modes. See here
Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. See here
Online learning of Koopman operator using streaming data and its application to power systems. See here
Koopman operator theory for dynamical systems with symmetry. See here
Efficient computation of the Koopman operator. See here

Microgrids

Proactive control framework to ensure transient safety and its application to microgrids. See here
Closed-form distributed stability conditions for a three-phase unbalanced microgrid. See here
Barrier certificates for safe operation and robust stability of inverter-based microgrids.
Power-sharing algorithm for microgrids with minimum communication control. See here

Small Gain Theorem Abstraction to Continuous-Time Stochastic Systems

Necessary and sufficient conditions for a stochastic continuous-time linear networked system to be mean square exponentially stable that results in a small gain (like) theorem can be found here and here
Application of small gain theorem to electric power systems to study inter-area oscillation with noise corrupted wide area measurement, decentralized frequency control in stochastic environment, and small signal stability of power system with random wind
Performance of the primal-dual gradient dynamics algorithm in the presence of stochastic communication channel uncertainty applying mean square exponential stability exponential results can be found here

Distributed Energy Resources

Virtual battery identification for air conditioners and water heaters using optimization based methods and neural networks
A metric to evaluate the fitness of each device in successfully providing the ancillary services such as demand response can be found here

Vulnerability Analysis of Dynamical Networks

Vulnerability analysis of a power network to stochastic link failure attacks by modeling as a stochastic Lure system can be found here
Vulnerability of large-scale linear dynamical networks such as power system in the presence of coordinated attacks based on Markovian jump systems can be found here

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