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This work addresses the critical challenge of guaranteeing safety for complex dynamical systems where precise mathematical models are uncertain and data measurements are corrupted by noise. We develop a physics-informed, direct data-driven…

Systems and Control · Electrical Eng. & Systems 2025-08-05 MohammadHossein Ashoori , Ali Aminzadeh , Amy Nejati , Abolfazl Lavaei

This work is concerned with developing a data-driven approach for learning control barrier certificates (CBCs) and associated safety controllers for discrete-time nonlinear polynomial systems with unknown mathematical models, guaranteeing…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Behrad Samari , Omid Akbarzadeh , Mahdieh Zaker , Abolfazl Lavaei

We develop a data-driven framework for the synthesis of robust Krasovskii control barrier certificates (RK-CBC) and corresponding robust safety controllers (R-SC) for discrete-time input-affine uncertain polynomial systems with unknown…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Omid Akbarzadeh , MohammadHossein Ashoori , Amy Nejati , Abolfazl Lavaei

This work is concerned with synthesizing safety controllers for discrete-time nonlinear systems beyond polynomials with unknown mathematical models using the notion of k-inductive control barrier certificates (k-CBCs). Conventional CBC…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Ben Wooding , Abolfazl Lavaei

In this work, we propose a data-driven scheme within a compositional framework with noisy data to design robust safety controllers in a fully decentralized fashion for large-scale interconnected networks with unknown mathematical dynamics.…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Omid Akbarzadeh , Behrad Samari , Amy Nejati , Abolfazl Lavaei

Safe control with guarantees generally requires the system model to be known. It is far more challenging to handle systems with uncertain parameters. In this paper, we propose a generic algorithm that can synthesize and verify safe…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Simin Liu , Kai S. Yun , John M. Dolan , Changliu Liu

In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unknown discrete-time continuous-space stochastic systems. The proposed framework is based on a notion of barrier certificates together with…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Ali Salamati , Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

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

Safety-critical control tasks with high levels of uncertainty are becoming increasingly common. Typically, techniques that guarantee safety during learning and control utilize constraint-based safety certificates, which can be leveraged to…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Alexandre Capone , Ryan Cosner , Aaron Ames , Sandra Hirche

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

This work develops a robust adaptive control strategy for discrete-time systems using Control Barrier Functions (CBFs) to ensure safety under parametric model uncertainty and disturbances. A key contribution of this work is establishing a…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Established techniques that enable robots to learn from demonstrations are based on learning a stable dynamical system (DS). To increase the robots' resilience to perturbations during tasks that involve static obstacle avoidance, we propose…

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

Optimization and Control · Mathematics 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

In real-world applications, we often require reliable decision making under dynamics uncertainties using noisy high-dimensional sensory data. Recently, we have seen an increasing number of learning-based control algorithms developed to…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

In this work, we study verification and synthesis problems for safety specifications over unknown discrete-time stochastic systems. When a model of the system is available, barrier certificates have been successfully applied for ensuring…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Ali Salamati , Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

This paper studies the problem of safe control of sampled-data systems under bounded disturbance and measurement errors with piecewise-constant controllers. To achieve this, we first propose the High-Order Doubly Robust Control Barrier…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Pradeep Sharma Oruganti , Parinaz Naghizadeh , Qadeer Ahmed

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

Safety is always one of the most critical principles for a system to be controlled. This paper investigates a safety-critical control scheme for unknown structured systems by using the control barrier function (CBF) method. Benefited from…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Shengbo Wang , Bo Lyu , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang
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