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This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

In this work, we propose a compositional framework for the construction of control barrier functions for networks of continuous-time stochastic hybrid systems enforcing complex logic specifications expressed by finite-state automata. The…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Ameneh Nejati , Sadegh Soudjani , Majid Zamani

A barrier certificate often serves as an inductive invariant that isolates an unsafe region from the reachable set of states, and hence is widely used in proving safety of hybrid systems possibly over an infinite time horizon. We present a…

Logic in Computer Science · Computer Science 2022-09-21 Qiuye Wang , Mingshuai Chen , Bai Xue , Naijun Zhan , Joost-Pieter Katoen

Safe and optimal controller synthesis for switched-controlled hybrid systems, which combine differential equations and discrete changes of the system's state, is known to be intricately hard. Reinforcement learning has been leveraged to…

Logic in Computer Science · Computer Science 2023-12-15 Asger Horn Brorholt , Peter Gjøl Jensen , Kim Guldstrand Larsen , Florian Lorber , Christian Schilling

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Ersin Daş , Richard M. Murray

We show that given a desired closed-loop response for a system, there exists an affine subspace of controllers that achieve this response. By leveraging the existence of this subspace, we are able to separate controller design from…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Jing Shuang Li , Dimitar Ho

Balancing safety and performance is one of the predominant challenges in modern control system design. Moreover, it is crucial to robustly ensure safety without inducing unnecessary conservativeness that degrades performance. In this work…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Aaron D. Ames , Gabor Orosz

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

We introduce a method for controlling systems with nonlinear dynamics and full actuation by approximating the dynamics with polynomials and applying a system level synthesis controller. We show how to optimize over this class of controllers…

Optimization and Control · Mathematics 2023-06-09 Lauren Conger , Syndey Vernon , Eric Mazumdar

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…

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

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

This paper develops a control approach with correctness guarantees for the simultaneous operation of lane keeping and adaptive cruise control. The safety specifications for these driver assistance modules are expressed in terms of set…

Optimization and Control · Mathematics 2017-05-09 Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada , Aaron D. Ames

In many safety-critical control systems, possibly opposing safety restrictions and control performance objectives arise. To confront such a conflict, this letter proposes a novel methodology that embeds safety into stability of control…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Hassan Almubarak , Nader Sadegh , Evangelos A. Theodorou

In this article, we consider the problem of synthesizing switching controllers for temporal properties through the composition of simple primitive reach-while-stay (RWS) properties. Reach-while-stay properties specify that the system states…

Systems and Control · Computer Science 2017-11-30 Hadi Ravanbakhsh , Sriram Sankaranarayanan

We present a new method for the automated synthesis of digital controllers with formal safety guarantees for systems with nonlinear dynamics, noisy output measurements, and stochastic disturbances. Our method derives digital controllers…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Fedor Shmarov , Sadegh Soudjani , Nicola Paoletti , Ezio Bartocci , Shan Lin , Scott A. Smolka , Paolo Zuliani

Optimal stabilization of safety-critical nonlinear systems requires balancing long-term performance and strict safety constraints. Existing quadratic-programming-based control barrier function (CBF) safety filters are point-wise and may…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Zhanglin Shangguan , Wei Xiao , Qi Li , Bo Yang , Xinping Guan

In this paper, we introduce the notion of periodic safety, which requires that the system trajectories periodically visit a subset of a forward-invariant safe set, and utilize it in a multi-rate framework where a high-level planner…

Systems and Control · Electrical Eng. & Systems 2022-04-27 Kunal Garg , Ryan K. Cosner , Ugo Rosolia , Aaron D. Ames , Dimitra Panagou

This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz

In this paper, we propose an approach to controller synthesis for a class of constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid abstraction of the nonlinear dynamics. This abstraction is defined on a…

Systems and Control · Computer Science 2011-09-13 Antoine Girard , Samuel Martin