460 citations · 2k across the 42 of their papers we have counts for
25 papers · 1 filter
Gray-Box Nonlinear Feedback Optimization
Zhiyu He, Saverio Bolognani, Michael Muehlebach +1
Feedback optimization enables autonomous optimality seeking of a dynamical system through its closed-loop interconnection with iterative optimization algorithms. Among various iter…
Online Feedback Optimization over Networks: A Distributed Model-free Approach
Wenbin Wang, Zhiyu He, Giuseppe Belgioioso +2
Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. W…
Towards a Systems Theory of Algorithms
Florian Dörfler, Zhiyu He, Giuseppe Belgioioso +3
Traditionally, numerical algorithms are seen as isolated pieces of code confined to an {\em in silico} existence. However, this perspective is not appropriate for many modern compu…
Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality
Wenbin Wang, Zhiyu He, Giuseppe Belgioioso +2
Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedb…
Tutorial on Congestion Control in Multi-Area Transmission Grids via Online Feedback Equilibrium Seeking
Giuseppe Belgioioso, Saverio Bolognani, Giulia Pejrani +1
Online feedback optimization (OFO) is an emerging control methodology for real-time optimal steady-state control of complex dynamical systems. This tutorial focuses on the applicat…
Online Feedback Equilibrium Seeking
Giuseppe Belgioioso, Dominic Liao-McPherson, Mathias Hudoba de Badyn +4
This paper proposes a unifying design framework for dynamic feedback controllers that track solution trajectories of time-varying generalized equations, such as local minimizers of…
First-order Conditions for Optimization in the Wasserstein Space
Nicolas Lanzetti, Saverio Bolognani, Florian Dörfler
We study first-order optimality conditions for constrained optimization in the Wasserstein space, whereby one seeks to minimize a real-valued function over the space of probability…
Model-Free Nonlinear Feedback Optimization
Zhiyu He, Saverio Bolognani, Jianping He +2
Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterati…
Sampled-Data Online Feedback Equilibrium Seeking: Stability and Tracking
Giuseppe Belgioioso, Dominic Liao-McPherson, Mathias Hudoba de Badyn +3
This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points.…
Optimization Algorithms as Robust Feedback Controllers
Adrian Hauswirth, Zhiyu He, Saverio Bolognani +2
Mathematical optimization is one of the cornerstones of modern engineering research and practice. Yet, throughout all application domains, mathematical optimization is, for the mos…
Sensitivity-conditioning: Beyond Singular Perturbation for Control Design on Multiple Time Scales
Miguel Picallo, Saverio Bolognani, Florian Dörfler
A classical approach to design controllers for interconnected systems is to assume that the different subsystems operate at different time scales, then design simpler controllers w…
Limit Behavior and the Role of Augmentation in Projected Saddle Flows for Convex Optimization
Adrian Hauswirth, Lukas Ortmann, Saverio Bolognani +1
In this paper, we study the stability and convergence of continuous-time Lagrangian saddle flows to solutions of a convex constrained optimization problem. Convergence of these flo…
Wasserstein Distributionally Robust Look-Ahead Economic Dispatch
Bala Kameshwar Poolla, Ashish R. Hota, Saverio Bolognani +2
We consider the problem of look-ahead economic dispatch (LAED) with uncertain renewable energy generation. The goal of this problem is to minimize the cost of conventional energy g…
Timescale Separation in Autonomous Optimization
Adrian Hauswirth, Saverio Bolognani, Gabriela Hug +1
Autonomous optimization refers to the design of feedback controllers that steer a physical system to a steady state that solves a predefined, possibly constrained, optimization pro…
Stability of Dynamic Feedback Optimization with Applications to Power Systems
Sandeep Menta, Adrian Hauswirth, Saverio Bolognani +2
We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the syste…
Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems
Adrian Hauswirth, Irina Subotić, Saverio Bolognani +2
This paper is concerned with the study of continuous-time, non-smooth dynamical systems which arise in the context of time-varying non-convex optimization problems, as for example…
Projected Dynamical Systems on Irregular, Non-Euclidean Domains for Nonlinear Optimization
Adrian Hauswirth, Saverio Bolognani, Florian Dörfler
Continuous-time projected dynamical systems are an elementary class of discontinuous dynamical systems with trajectories that remain in a feasible domain by means of projecting out…
Generic Existence of Unique Lagrange Multipliers in AC Optimal Power Flow
Adrian Hauswirth, Saverio Bolognani, Gabriela Hug +1
Solutions to nonlinear, nonconvex optimization problems can fail to satisfy the KKT optimality conditions even when they are optimal. This is due to the fact that unless constraint…
A Market Mechanism for Virtual Inertia
Bala Kameshwar Poolla, Saverio Bolognani, Li Na +1
One of the recognized principal issues brought along by the steadfast migration towards power electronic interfaced energy sources is the loss of rotational inertia. In conventiona…
Hierarchical and Distributed Monitoring of Voltage Stability in Distribution Networks
Liviu Aolaritei, Saverio Bolognani, Florian Dörfler
We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a…
A distributed voltage stability margin for power distribution networks
Liviu Aolaritei, Saverio Bolognani, Florian Dörfler
We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow para…
Optimal Placement of Virtual Inertia in Power Grids
Bala Kameshwar Poolla, Saverio Bolognani, Florian Dorfler
A major transition in the operation of electric power grids is the replacement of synchronous machines by distributed generation connected via power electronic converters. The acco…
On the existence and linear approximation of the power flow solution in power distribution networks
Saverio Bolognani, Sandro Zampieri
We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient condit…
Distributed reactive power feedback control for voltage regulation and loss minimization
Saverio Bolognani, Guido Cavraro, Ruggero Carli +1
We consider the problem of exploiting the microgenerators dispersed in the power distribution network in order to provide distributed reactive power compensation for power losses m…