146 citations · 209 across the 9 of their papers we have counts for
11 papers · 1 filter
A Lyapunov framework for nested dynamical systems on multiple time scales with application to converter-based power systems
Irina Subotić, Dominic Groß, Marcello Colombino +1
In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow…
Towards robustness guarantees for feedback-based optimization
Marcello Colombino, John W. Simpson-Porco, Andrey Bernstein
Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and th…
Sample Complexity of Power System State Estimation using Matrix Completion
Joshua Comden, Marcello Colombino, Andrey Bernstein +1
In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample co…
Optimal Rate of Convergence for Quasi-Stochastic Approximation
Andrey Bernstein, Yue Chen, Marcello Colombino +3
The Robbins-Monro stochastic approximation algorithm is a foundation of many algorithmic frameworks for reinforcement learning (RL), and often an efficient approach to solving (or…
Dispatchable Virtual Oscillator Control for Decentralized Inverter-dominated Power Systems: Analysis and Experiments
Gab-Su Seo, Marcello Colombino, Irina Subotić +3
This paper presents an analysis and experimental validation of dispatchable virtual oscillator control (dVOC) for inverter-dominated power systems. dVOC is a promising decentralize…
Online Optimization as a Feedback Controller: Stability and Tracking
Marcello Colombino, Emiliano Dall'Anese, Andrey Bernstein
This paper develops and analyzes feedback-based online optimization methods to regulate the output of a linear time-invariant (LTI) dynamical system to the optimal solution of a ti…
The effect of transmission-line dynamics on grid-forming dispatchable virtual oscillator control
Dominic Groß, Marcello Colombino, Jean-Sébastien Brouillon +1
In this work, we analyze the effect of transmission line dynamics on grid-forming control for inverter-based AC power systems. In particular, we investigate a dispatchable virtual…
Structured decentralized control of positive systems with applications to combination drug therapy and leader selection in directed networks
Neil K. Dhingra, Marcello Colombino, Mihailo R. Jovanović
We study a class of structured optimal control problems in which the main diagonal of the dynamic matrix is a linear function of the design variable. While such problems are in gen…
Global phase and magnitude synchronization of coupled oscillators with application to the control of grid-forming power inverters
Marcello Colombino, Dominic Groß, Jean-Sébastien Brouillon +1
In this work, we explore a new approach to synchronization of coupled oscillators. In contrast to the celebrated Kuramoto model we do not work in polar coordinates and do not consi…
On the optimal control problem for a class of monotone bilinear systems
Neil K. Dhingra, Marcello Colombino, Mihailo R. Jovanović +2
We consider a class of monotone systems in which the control signal multiplies the state. Among other applications, such bilinear systems can be used to model the evolutionary dyna…
A Convex Characterization of Robust Stability for Positive and Positively Dominated Linear Systems
Marcello Colombino, Roy S. Smith
We provide convex necessary and sufficient conditions for the robust stability of linear positively dominated systems. In particular we show that the structured singular value is a…