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Verified controller synthesis uses world models that comprise all potential behaviours of humans, robots, further equipment, and the controller to be synthesised. A world model enables quantitative risk assessment, for example, by…

Software Engineering · Computer Science 2021-10-26 Mario Gleirscher , Jan Peleska

In this article, the problem of synthesizing switching controllers is considered through the synthesis of a "control certificate". Control certificates include control barrier and Lyapunov functions, which represent control strategies, and…

Systems and Control · Computer Science 2016-02-11 Hadi Ravanbakhsh , Sriram Sankaranarayanan

This article describes a fully automated, credible autocoding chain for control systems. The framework generates code, along with guarantees of high level functional properties which can be independently verified. It relies on domain…

Systems and Control · Computer Science 2013-08-27 Timothy Wang , Romain Jobredeaux , Heber Herencia , Pierre-Loic Garoche , Arnaud Dieumegard , Eric Feron , Marc Pantel

The focus of this thesis is developing a framework for designing correct-by-construction controllers using control certificates. We use nonlinear dynamical systems to model the physical environment (plants). The goal is to synthesize…

Systems and Control · Computer Science 2018-05-07 Hadi Ravanbakhsh

Software implementations of controllers for physical systems are at the core of many embedded systems. The design of controllers uses the theory of dynamical systems to construct a mathematical control law that ensures that the controlled…

Systems and Control · Computer Science 2012-04-16 Rupak Majumdar , Indranil Saha , Majid Zamani

In recent years, formal methods have been extensively used in the design of autonomous systems. By employing mathematically rigorous techniques, formal methods can provide fully automated reasoning processes with provable safety guarantees…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Xiang Yin , Bingzhao Gao , Xiao Yu

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…

We provide a novel approach to synthesize controllers for nonlinear continuous dynamical systems with control against safety properties. The controllers are based on neural networks (NNs). To certify the safety property we utilize barrier…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Hengjun Zhao , Xia Zeng , Taolue Chen , Zhiming Liu , Jim Woodcock

Many existing tools in nonlinear control theory for establishing stability or safety of a dynamical system can be distilled to the construction of a certificate function that guarantees a desired property. However, algorithms for…

Machine Learning · Computer Science 2020-09-15 Nicholas M. Boffi , Stephen Tu , Nikolai Matni , Jean-Jacques E. Slotine , Vikas Sindhwani

This paper proposes a framework for automatic formal controller synthesis for general hybrid systems with a subset of safety and reachability specifications. The framework uses genetic programming to automatically co-synthesize controllers…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Cees F. Verdier , Manuel Mazo

In this paper we consider the safety verification and safe controller synthesis problems for nonlinear control systems. The Control Barrier Certificates (CBC) approach is proposed as an extension to the Barrier certificates approach. Our…

Optimization and Control · Mathematics 2022-04-22 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Robots are used increasingly often in safety-critical scenarios, such as robotic surgery or human-robot interaction. To ensure stringent performance criteria, formal controller synthesis is a promising direction to guarantee that robots…

Robotics · Computer Science 2023-09-13 Stefan B. Liu , Bastian Schürmann , Matthias Althoff

This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

Systems and Control · Computer Science 2018-12-07 Cees F. Verdier , Manuel Mazo

We introduce an automated, formal, counterexample-based approach to synthesise Barrier Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The approach is underpinned by an inductive framework: this is…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Andrea Peruffo , Daniele Ahmed , Alessandro Abate

The control of complex systems faces a trade-off between high performance and safety guarantees, which in particular restricts the application of learning-based methods to safety-critical systems. A recently proposed framework to address…

Systems and Control · Computer Science 2020-05-26 Kim P. Wabersich , Melanie N. Zeilinger

This paper introduces the notion of control closure certificates to synthesize controllers for discrete-time control systems against $\omega$-regular specifications. Typical functional approaches to synthesize controllers against…

Logic in Computer Science · Computer Science 2025-08-07 Vishnu Murali , Mohammed Adib Oumer , Majid Zamani

Software system certification presents itself with many challenges, including the necessity to certify the system at the level of functional requirements, code and binary levels, the need to chase down run-time errors, and the need for…

Software Engineering · Computer Science 2007-05-23 Eric Feron , Mardavij Roozbehani

Formal methods refer to rigorous, mathematical approaches to system development and have played a key role in establishing the correctness of safety-critical systems. The main building blocks of formal methods are models and specifications,…

Ensuring string stability is critical for the safety and efficiency of large-scale interconnected systems. Although learning-based controllers (e.g., those based on reinforcement learning) have demonstrated strong performance in complex…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Jingyuan Zhou , Haoze Wu , Haokun Yu , Kaidi Yang

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames
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