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This paper considers the problem of regulating a linear dynamical system to the solution of a convex optimization problem with an unknown or partially-known cost. We design a data-driven feedback controller - based on gradient flow dynamics…

Optimization and Control · Mathematics 2022-04-05 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

A feedback controller is proposed to perform output reference tracking with prescribed performance for nonlinear continuous-time systems of relative degree two. The controller is of sampled-data type, i.e., measurements are available only…

Optimization and Control · Mathematics 2024-07-30 Lukas Lanza

We consider the optimal distributed controller design problem subject to two structural requirements: locality, i.e. available measurements and sub-controllers' interactions are governed by a graph structure, and relative feedback, i.e.…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Emily Jensen , Bassam Bamieh

This paper considers the problem of online feedback optimization to solve the AC Optimal Power Flow in real-time in power grids. This consists in continuously driving the controllable power injections and loads towards the optimal…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Miguel Picallo , Saverio Bolognani , Florian Dörfler

Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a…

Mathematical Physics · Physics 2009-09-09 Mazyar Mirrahimi , Pierre Rouchon

A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing approximating optimal feedback gains using neural networks.…

Optimization and Control · Mathematics 2020-08-27 Karl Kunisch , Daniel Walter

This work proposes a policy learning algorithm for seeking generalised feedback Nash equilibria (GFNE) in $N_P$-player noncooperative dynamic games. We consider linear-quadratic games with stochastic dynamics and design a best-response…

Optimization and Control · Mathematics 2025-06-13 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems…

Systems and Control · Computer Science 2019-09-10 Claudio De Persis , Pietro Tesi

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded output operators by finite-dimensional controllers. Both necessary conditions and sufficient conditions for feedback stabilizability are presented. The…

Optimization and Control · Mathematics 2023-09-06 Tian Xia , Giacomo Casadei , Francesco Ferrante , Luca Scardovi

Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. When the plant consists of several interconnected…

Optimization and Control · Mathematics 2024-09-13 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

Many cyber-physical systems can naturally be formulated as switched systems with constrained switching. This includes systems where one of the signals in the feedback loop may be lost. Possible sources for losses are shared or unreliable…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Simon Lang , Marc Seidel , Frank Allgöwer

Real-time scheduling algorithms proposed in the literature are often based on worst-case estimates of task parameters. The performance of an open-loop scheme can be degraded significantly if there are uncertainties in task parameters, such…

Operating Systems · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

In this work we analyze and bound the effect of modeling errors on the stabilization of pure states or subspaces for quantum stochastic evolutions. Different approaches are used for open-loop and feedback control protocols. For both, we…

Quantum Physics · Physics 2024-09-27 Weichao Liang , Kentaro Ohki , Francesco Ticozzi

We propose a control framework which can utilize tactile information by exploiting the complementarity structure of contact dynamics. Since many robotic tasks, like manipulation and locomotion, are fundamentally based in making and breaking…

Robotics · Computer Science 2021-10-25 Alp Aydinoglu , Philip Sieg , Victor M. Preciado , Michael Posa

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

Classical sufficient conditions for ensuring the robust stability of a dynamical system in feedback with a nonlinearity include passivity, small gain, circle, and conicity theorems. We present a generalized version of these results for…

Optimization and Control · Mathematics 2022-11-15 Saman Cyrus , Laurent Lessard

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed…

Optimization and Control · Mathematics 2016-11-16 Milan Korda , Colin N. Jones

A fundamental problem in collaborative sensing lies in providing an accurate prediction of critical events (e.g., hazardous environmental condition, urban abnormalities, economic trends). However, due to the resource constraints,…

Signal Processing · Electrical Eng. & Systems 2019-09-11 Daniel Zhang , Yang Zhang , Dong Wang

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

Optimization and Control · Mathematics 2017-03-28 Maojiao Ye , Guoqiang Hu
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