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In the current control design of safety-critical autonomous systems, formal verification techniques are typically applied after the controller is designed to evaluate whether the required properties (e.g., safety) are satisfied. However,…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Yixuan Wang , Chao Huang , Zhaoran Wang , Zhilu Wang , Qi Zhu

Data-driven approaches to predict-then-optimize decision-making problems seek to mitigate the risk of uncertainty region misspecification in safety-critical settings. Current approaches, however, suffer from considering overly conservative…

Methodology · Statistics 2023-10-17 Yash Patel , Sahana Rayan , Ambuj Tewari

This paper proposes strategies for designing a system whose computational model is subject to aleatory and epistemic uncertainty. Aleatory variables, which are caused by randomness in physical parameters, are draws from a possibly unknown…

Methodology · Statistics 2026-02-18 Luis G. Crespo

This paper offers a critical view of the "worst-case" approach that is the cornerstone of robust control design. It is our contention that a blind acceptance of worst-case scenarios may lead to designs that are actually more dangerous than…

Optimization and Control · Mathematics 2013-11-05 Xinjia Chen , Jorge Aravena , Kemin Zhou

Autonomous systems must sustain justified confidence in their correctness and safety across their operational lifecycle-from design and deployment through post-deployment evolution. Traditional assurance methods often separate…

Software Engineering · Computer Science 2025-11-20 Dhaminda B. Abeywickrama , Michael Fisher , Frederic Wheeler , Louise Dennis

Classical environmental contours are used in structural design in order to obtain upper bounds on the failure probabilities of a large class of designs. Buffered environmental contours serve the same purpose, but with respect to the…

Optimization and Control · Mathematics 2020-09-09 Kristina Rognlien Dahl , Arne Bang Huseby

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

This paper focuses on safety critical control with sector-bounded uncertainties at the plant input. The uncertainties can represent nonlinear and/or time-varying components. We propose a new robust control barrier function (RCBF) approach…

Optimization and Control · Mathematics 2021-09-07 Jyot Buch , Shih-Chi Liao , Peter Seiler

Reliability prediction is crucial for ensuring the safety and security of software systems, especially in the context of industry practices. While various metrics and measurements are employed to assess software reliability, the complexity…

Software Engineering · Computer Science 2025-07-29 Dapeng Yan , Wenjie Yang , Kui Liu , Zhiming Liu , Zhikuang Cai

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

In this paper, we consider the optimal controller design problem against data injection attacks on actuators for an uncertain control system. We consider attacks that aim at maximizing the attack impact while remaining stealthy in the…

Optimization and Control · Mathematics 2022-09-09 Sribalaji C. Anand , André M. H. Teixeira

Optimal control is an essential tool for stabilizing complex nonlinear systems. However, despite the extensive impacts of methods such as receding horizon control, dynamic programming and reinforcement learning, the design of cost functions…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tyler Westenbroek , Anand Siththaranjan , Mohsin Sarwari , Claire J. Tomlin , Shankar S. Sastry

Adaptive robust optimization (ARO) extends static robust optimization by allowing decisions to depend on the realized uncertainty - weakly dominating static solutions within the modeled uncertainty set. However, ARO makes previous…

Optimization and Control · Mathematics 2025-11-20 Karl Zhu , Dimitris Bertsimas

Security risk assessment is essential in establishing the trustworthiness and reliability of modern systems. While various security risk assessment approaches exist, prevalent applications are "pen and paper" implementations that -- even if…

Cryptography and Security · Computer Science 2025-09-23 Avi Shaked

We initiate a formal study of reproducibility in optimization. We define a quantitative measure of reproducibility of optimization procedures in the face of noisy or error-prone operations such as inexact or stochastic gradient computations…

Optimization and Control · Mathematics 2022-12-06 Kwangjun Ahn , Prateek Jain , Ziwei Ji , Satyen Kale , Praneeth Netrapalli , Gil I. Shamir

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Max Cohen , Calin Belta

This paper addresses learning safe output feedback control laws from partial observations of expert demonstrations. We assume that a model of the system dynamics and a state estimator are available along with corresponding error bounds,…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Lars Lindemann , Alexander Robey , Lejun Jiang , Satyajeet Das , Stephen Tu , Nikolai Matni

Model-based process simulation can be used to derive designs and operating conditions of chemical processes that optimally balance multiple objectives, such as quality, costs, or environmental impacts. This work focuses on identifying…

Control Co-Design (CCD) considers the coupled effects of both the plant and control parameters to optimize a system's closed-loop transient performance during the design stage. This paper presents a new method for CCD with guarantees on…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Trevor J. Bird , Jacob A. Siefert , Herschel C. Pangborn , Neera Jain

In robust optimization, we would like to find a solution that is immunized against all scenarios that are modeled in an uncertainty set. Which scenarios to include in such a set is therefore of central importance for the tractability of the…

Optimization and Control · Mathematics 2024-10-14 Jamie Fairbrother , Marc Goerigk , Mohammad Khosravi