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Related papers: Safety Index Synthesis with State-dependent Contro…

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Safety Index Synthesis (SIS) is critical for deriving safe control laws. Recent works propose to synthesize a safety index (SI) via nonlinear programming and derive a safe control law such that the system 1) achieves forward invariant (FI)…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Rui Chen , Weiye Zhao , Ruixuan Liu , Weiyang Zhang , Changliu Liu

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

Control systems often need to satisfy strict safety requirements. Safety index provides a handy way to evaluate the safety level of the system and derive the resulting safe control policies. However, designing safety index functions under…

Robotics · Computer Science 2023-10-05 Weiye Zhao , Tairan He , Tianhao Wei , Simin Liu , Changliu Liu

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

We introduce a hybrid (discrete--continuous) safety controller which enforces strict state and input constraints on a system---but only acts when necessary, preserving transparent operation of the original system within some safe region of…

Optimization and Control · Mathematics 2019-11-22 Gray C. Thomas , Binghan He , Luis Sentis

We consider the problem of safety verification and safety-aware controller synthesis for systems with sector bounded nonlinearities. We aim to keep the states of the system within a given safe set under potential actuator and sensor…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yankai Lin , Michelle S. Chong , Carlos Murguia

Safety is critical in autonomous robotic systems. A safe control law ensures forward invariance of a safe set (a subset in the state space). It has been extensively studied regarding how to derive a safe control law with a control-affine…

Robotics · Computer Science 2022-04-21 Tianhao Wei , Changliu Liu

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

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

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

We study data-driven computation of probabilistic controlled invariant sets (PCIS) for safety-critical reinforcement learning under unknown dynamics. Assuming a linear MDP model, we use regularized least squares and self-normalized…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Kazumune Hashimoto , Shunki Kimura , Kazunobu Serizawa , Junya Ikemoto , Yulong Gao , Kai Cai

Complex, interconnected Cyber-physical Systems (CPS) are increasingly common in applications including smart grids and transportation. Ensuring safety of interconnected systems whose dynamics are coupled is challenging because the effects…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Abdullah Al Maruf , Luyao Niu , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

This paper aims at the safety-critical control synthesis of network systems such that the satisfaction of the safety constraints can be guaranteed. To handle the large state dimension of such systems, an assume-guarantee contract is used to…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Yuxiao Chen , James Anderson , Karan Kalsi , Aaron D. Ames , Steven H. Low

Identifying controlled safety invariant sets (CSISs) is essential for safety-critical systems. This paper addresses the problem of computing CSISs for black-box discrete-time systems, where the dynamics are unknown and only limited…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Taoran Wu , Yiling Xue , Jingduo Pan , Dejin Ren , Arvind Easwaran , Bai Xue

This paper addresses the problem of control synthesis for nonlinear optimal control problems in the presence of state and input constraints. The presented approach relies upon transforming the given problem into an infinite-dimensional…

Optimization and Control · Mathematics 2017-03-03 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

The control Barrier function approach has been widely used for safe controller synthesis. By solving an online convex quadratic programming problem, an optimal safe controller can be synthesized implicitly in state-space. Since the solution…

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

Control barrier functions are mathematical constructs used to guarantee safety for robotic systems. When integrated as constraints in a quadratic programming optimization problem, instantaneous control synthesis with real-time performance…

Robotics · Computer Science 2020-03-12 Mohit Srinivasan , Amogh Dabholkar , Samuel Coogan , Patricio Vela

Finding a controlled-invariant set for a system with state and control constraints is crucial for safety-critical applications. However, existing methods often produce overly conservative solutions. This paper presents a method for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Naeim Ebrahimi Toulkani , Reza Ghabcheloo

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

We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time invariant models. Models are given as dynamical equations with inputs, evolving over a continuous…

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