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This paper considers the problem of Bayesian optimization for systems with safety-critical constraints, where both the objective function and the constraints are unknown, but can be observed by querying the system. In safety-critical…

Optimization and Control · Mathematics 2022-05-06 Dinesh Krishnamoorthy , Francis J. Doyle

Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints…

Optimization and Control · Mathematics 2026-02-11 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

This paper studies the design of controllers for discontinuous dynamics that ensure the safety of non-smooth sets. The safe set is represented by arbitrarily nested unions and intersections of 0-superlevel sets of differentiable functions.…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

We study the problem of performance optimization of closed-loop control systems with unmodeled dynamics. Bayesian optimization (BO) has been demonstrated to be effective for improving closed-loop performance by automatically tuning…

Machine Learning · Computer Science 2023-01-31 Wenjie Xu , Colin N Jones , Bratislav Svetozarevic , Christopher R. Laughman , Ankush Chakrabarty

Autonomous systems have witnessed a rapid increase in their capabilities, but it remains a challenge for them to perform tasks both effectively and safely. The fact that performance and safety can sometimes be competing objectives renders…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Hao Wang , Adityaya Dhande , Somil Bansal

In this paper, we propose a novel linear quadratic Gaussian controller whose parameters can be automatically tuned. While linear quadratic regulator method has been widely used in adaptive cruise control system design, researchers have not…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Yuncheng Jiang , Lilong Cai , Xiaofeng Jin

This paper considers the linear-quadratic dual control problem where the system parameters need to be identified and the control objective needs to be optimized in the meantime. Contrary to existing works on data-driven linear-quadratic…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Yiwen Lu , Yilin Mo

Safe learning and optimization deals with learning and optimization problems that avoid, as much as possible, the evaluation of non-safe input points, which are solutions, policies, or strategies that cause an irrecoverable loss (e.g.,…

Machine Learning · Computer Science 2021-06-25 Youngmin Kim , Richard Allmendinger , Manuel López-Ibáñez

The commissioning of industrial electric drives still relies heavily on manual tuning of cascaded control loops, requiring expert knowledge and significant time. In this paper, we propose a fully automated approach for tuning the current…

Systems and Control · Electrical Eng. & Systems 2026-05-28 David Petrovic , Gian Antonio Susto , Angelo Cenedese

This paper introduces and analyses a continuous optimization approach to solve optimal control problems involving ordinary differential equations (ODEs) and tracking type objectives. Our aim is to determine control or input functions, and…

Optimization and Control · Mathematics 2024-05-09 Vicky Holfeld , Michael Burger , Claudia Schillings

This paper investigates the control barrier function (CBF) based safety-critical control for continuous nonlinear control affine systems using the more efficient online algorithms through time-varying optimization. The idea lies in that…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Shengbo Wang , Shiping Wen , Yin Yang , Yuting Cao , Kaibo Shi , Tingwen Huang

Recently, there has been a surge of research on a class of methods called feedback optimization. These are methods to steer the state of a control system to an equilibrium that arises as the solution of an optimization problem. Despite the…

Optimization and Control · Mathematics 2026-02-18 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

A key challenge in tuning Model Predictive Control (MPC) cost function parameters is to ensure that the system performance stays consistently above a certain threshold. To address this challenge, we propose a novel method, COAT-MPC,…

Machine Learning · Computer Science 2025-03-25 Albert Gassol Puigjaner , Manish Prajapat , Andrea Carron , Andreas Krause , Melanie N. Zeilinger

We introduce a sequential learning algorithm to address a robust controller tuning problem, which in effect, finds (with high probability) a candidate solution satisfying the internal performance constraint to a chance-constrained program…

Optimization and Control · Mathematics 2021-10-19 Robert Chin , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe

Bayesian optimization has become a successful tool for hyperparameter optimization of machine learning algorithms, such as support vector machines or deep neural networks. Despite its success, for large datasets, training and validating a…

Machine Learning · Computer Science 2017-03-08 Aaron Klein , Stefan Falkner , Simon Bartels , Philipp Hennig , Frank Hutter

We discuss the problem of input design for uncertainty reduction in a parameter estimation procedure. Assuming a linear continuous-time control system with noisy measurements, we formulate an objective of variance reduction in a Bayesian…

Optimization and Control · Mathematics 2025-11-21 Ludovic Sacchelli , Alessandro Scagliotti

We consider the problem of sequentially maximizing an unknown function $f$ over a set of actions of the form $(s,\mathbf{x})$, where the selected actions must satisfy a safety constraint with respect to an unknown safety function $g$. We…

Machine Learning · Statistics 2024-06-06 Arpan Losalka , Jonathan Scarlett

Bayesian Optimization (BO) is an effective method for optimizing expensive-to-evaluate black-box functions with a wide range of applications for example in robotics, system design and parameter optimization. However, scaling BO to problems…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Lukas P. Fröhlich , Edgar D. Klenske , Christian G. Daniel , Melanie N. Zeilinger

Tuning parameters in model predictive control (MPC) presents significant challenges, particularly when there is a notable discrepancy between the controller's predictions and the actual behavior of the closed-loop plant. This mismatch may…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Sebastian Hirt , Andreas Höhl , Joachim Schaeffer , Johannes Pohlodek , Richard D. Braatz , Rolf Findeisen

In this paper, we consider a multi-objective control problem for stochastic systems that seeks to minimize a cost of interest while ensuring safety. We introduce a novel measure of safety risk using the conditional value-at-risk and a set…

Optimization and Control · Mathematics 2018-02-23 Samantha Samuelson , Insoon Yang
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