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A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

The problem of safely learning and controlling a dynamical system - i.e., of stabilizing an originally (partially) unknown system while ensuring that it does not leave a prescribed 'safe set' - has recently received tremendous attention in…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Jafar Abbaszadeh Chekan , Cedric Langbort

Parameter tuning for vehicle controllers remains a costly and time-intensive challenge in automotive development. Traditional approaches rely on extensive real-world testing, making the process inefficient. We propose a multi-fidelity…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Yongpeng Zhao , Maik Pfefferkorn , Maximilian Templer , Rolf Findeisen

This paper aims to put forward the concept that learning to take safe actions in unknown environments, even with probability one guarantees, can be achieved without the need for an unbounded number of exploratory trials, provided that one…

Machine Learning · Computer Science 2021-04-01 Agustin Castellano , Juan Bazerque , Enrique Mallada

Safety assurance is critical in the planning and control of robotic systems. For robots operating in the real world, the safety-critical design often needs to explicitly address uncertainties and the pre-computed guarantees often rely on…

Robotics · Computer Science 2024-07-09 Hao Zhou , Yanze Zhang , Wenhao Luo

We propose a safe exploration algorithm for deterministic Markov Decision Processes with unknown transition models. Our algorithm guarantees safety by leveraging Lipschitz-continuity to ensure that no unsafe states are visited during…

Robotics · Computer Science 2020-06-05 Erdem Bıyık , Jonathan Margoliash , Shahrouz Ryan Alimo , Dorsa Sadigh

This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the…

Optimization and Control · Mathematics 2022-02-09 Daniel Gurevich , Debdipta Goswami , Charles L. Fefferman , Clarence W. Rowley

Achieving safe control under uncertainty is a key problem that needs to be tackled for enabling real-world autonomous robots and cyber-physical systems. This paper introduces Probabilistic Safety Programs (PSP) that embed both the…

Robotics · Computer Science 2016-10-19 Ashish Kapoor , Debadeepta Dey , Shital Shah

We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Hongyu Zhou , Vasileios Tzoumas

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

As the use of autonomous robots expands in tasks that are complex and challenging to model, the demand for robust data-driven control methods that can certify safety and stability in uncertain conditions is increasing. However, the…

Multi-fidelity Gaussian process is a common approach to address the extensive computationally demanding algorithms such as optimization, calibration and uncertainty quantification. Adaptive sampling for multi-fidelity Gaussian process is a…

Machine Learning · Statistics 2019-07-30 Sayan Ghosh , Jesper Kristensen , Yiming Zhang , Waad Subber , Liping Wang

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

Machine Learning · Computer Science 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

This paper presents conditions for ensuring forward invariance of safe sets under sampled-data system dynamics with piecewise-constant controllers and fixed time-steps. First, we introduce two different metrics to compare the…

Optimization and Control · Mathematics 2021-06-28 Joseph Breeden , Kunal Garg , Dimitra Panagou

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

Adaptive control approaches yield high-performance controllers when a precise system model or suitable parametrizations of the controller are available. Existing data-driven approaches for adaptive control mostly augment standard…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Christopher König , Matteo Turchetta , John Lygeros , Alisa Rupenyan , Andreas Krause

Generating safe behaviors for autonomous systems is important as they continue to be deployed in the real world, especially around people. In this work, we focus on developing a novel safe controller for systems where there are multiple…

Robotics · Computer Science 2024-07-03 Ravi Pandya , Tianhao Wei , Changliu Liu

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

Machine Learning · Computer Science 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

The increasing use of autonomous and semi-autonomous agents in society has made it crucial to validate their safety. However, the complex scenarios in which they are used may make formal verification impossible. To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2023-03-03 Jared J. Beard , Ali Baheri

In order for autonomous vehicles to become a part of the Intelligent Transportation Ecosystem, they are required to guarantee a particular level of safety. For that to happen a safe vehicle control algorithms need to be developed, which…

Robotics · Computer Science 2020-03-03 Vladislav Kibalov , Oleg Shipitko