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Merely pursuing performance may adversely affect the safety, while a conservative policy for safe exploration will degrade the performance. How to balance the safety and performance in learning-based control problems is an interesting yet…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Xinyang Wang , Hongwei Zhang , Shimin Wang , Wei Xiao , Martin Guay

Flexibility provision from active distribution grids requires efficient and robust methods of optimization and control suitable to online operation. In this paper we introduce conditions for the safe operation of feedback optimization based…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Florian Klein-Helmkamp , Tina Möllemann , Irina Zettl , Steffen Kortmann , Andreas Ulbig

In this paper, we address the issue of quantifying maximum actuator degradation in linear time-invariant dynamical systems. We present a new unified framework for computing the state-feedback controller gain that meets a user-defined…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Hrishav Das , Eliot Nychka , Raktim Bhattacharya

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

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 nonlinear programs or competitive equilibria (e.g., Nash)…

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

Guaranteeing safe behavior on complex autonomous systems -- from cars to walking robots -- is challenging due to the inherently high dimensional nature of these systems and the corresponding complex models that may be difficult to determine…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Tamas G. Molnar , Aaron D. Ames

Control barrier functions (CBFs) play a critical role in the design of safe optimization-based controllers for control-affine systems. Given a CBF associated with a desired ``safe'' set, the typical approach consists in embedding CBF-based…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Yiting Chen , Pol Mestres , Jorge Cortes , Emiliano Dall'Anese

This paper develops a persistently exciting input generating Online Feedback Optimization (OFO) controller that estimates the sensitivity of a process ensuring minimal deviations from the descent direction while converging. This eliminates…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Tore Gude , Marta Anna Zagorowska , Lars Struen Imsland

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

Optimization and Control · Mathematics 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

This letter addresses the constraint compatibility problem of control barrier functions (CBFs), which occurs when a safety-critical CBF requires a system to apply more control effort than it is capable of generating. This inevitably leads…

Optimization and Control · Mathematics 2024-02-28 Logan E. Beaver

A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. It relies on parameter dependent approximations to the optimal value function obtained from a family…

Optimization and Control · Mathematics 2023-02-28 Karl Kunisch , Daniel Walter

In this paper, we consider the closed-loop control problem of nonlinear robotic systems in the presence of probabilistic uncertainties and disturbances. More precisely, we design a state feedback controller that minimizes deviations of the…

Robotics · Computer Science 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

This paper addresses the design and analysis of feedback-based online algorithms to control systems or networked systems based on performance objectives and engineering constraints that may evolve over time. The emerging time-varying convex…

Optimization and Control · Mathematics 2019-03-27 Andrey Bernstein , Emiliano Dall'Anese , Andrea Simonetto

Feedback controllers for port-Hamiltonian systems reveal an intrinsic inverse optimality property since each passivating state feedback controller is optimal with respect to some specific performance index. Due to the nonlinear…

Optimization and Control · Mathematics 2020-07-20 Lukas Kölsch , Pol Jané Soneira , Felix Strehle , Sören Hohmann

We prove the existence of an optimal feedback controller for a stochastic optimization problem constituted by a variation of the Heston model, where a stochastic input process is added in order to minimize a given performance criterion. The…

Optimization and Control · Mathematics 2018-04-30 Viorel Barbu , Chiara Benazzoli , Luca Di Persio

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

In this paper we We propose GoPRONTO, a first-order, feedback-based approach to solve nonlinear discrete-time optimal control problems. This method is a generalized first-order framework based on incorporating the original dynamics into a…

Optimization and Control · Mathematics 2023-08-22 Lorenzo Sforni , Sara Spedicato , Ivano Notarnicola , Giuseppe Notarstefano

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is…

Optimization and Control · Mathematics 2021-05-10 Jannik Hahn , Olaf Stursberg

Many important complex networks, including critical infrastructure and emerging industrial automation systems, are becoming increasingly intricate webs of interacting feedback control loops. A fundamental concern is to quantify the control…

Optimization and Control · Mathematics 2017-07-17 Tyler Summers , Justin Ruths