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We study the problem of co-designing control barrier functions and linear state feedback controllers for discrete-time linear systems affected by additive disturbances. For disturbances of bounded magnitude, we provide a semi-definite…

Optimization and Control · Mathematics 2025-05-14 Marta Fochesato , Han Wang , Antonis Papachristodoulou , Paul Goulart

This work is concerned with a formal approach for safety controller synthesis of stochastic control systems with both process and measurement noises while considering wireless communication networks between sensors, controllers, and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Omid Akbarzadeh , Sadegh Soudjani , Abolfazl Lavaei

Safety of stochastic dynamic systems in environments with dynamic obstacles is studied in this paper through the lens of stochastic barrier functions. We introduce both time-invariant and time-varying barrier certificates for discrete-time,…

Robotics · Computer Science 2026-04-23 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

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

This paper develops a framework for synthesizing safety controllers for discrete-time stochastic linear control systems (dt-SLS) operating under communication imperfections. The control unit is remote and communicates with the sensor and…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Omid Akbarzadeh , Mohammad H. Mamduhi , Abolfazl Lavaei

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

We propose an adversarial, time-varying test-synthesis procedure for safety-critical systems without requiring specific knowledge of the underlying controller steering the system. From a broader test and evaluation context, determination of…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Prithvi Akella , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

We consider the problem of designing finite-horizon safe controllers for a dynamical system for which no explicit analytical model exists and limited data only along a single trajectory of the system are available. Given samples of the…

Optimization and Control · Mathematics 2018-01-15 Mohamadreza Ahmadi , Arie Israel , Ufuk Topcu

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Mohammad Bajelani , Klaske van Heusden

In this work, we propose a compositional scheme based on small-gain reasoning to synthesize safety controllers for interconnected stochastic hybrid systems. In our proposed setting, we first offer an augmented scheme that characterizes each…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Mahdieh Zaker , Omid Akbarzadeh , Behrad Samari , Abolfazl Lavaei

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

This work is concerned with the safety controller synthesis of stochastic hybrid systems, in which continuous evolutions are described by stochastic differential equations with both Brownian motions and Poisson processes, and instantaneous…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Abolfazl Lavaei , Sadegh Soudjani , Emilio Frazzoli

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

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

Networked control systems (NCS) are widely used in safety-critical applications, but they are often analyzed under the assumption of ideal communication channels. This work focuses on the synthesis of safety controllers for discrete-time…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Yihan Liu , Meiqi Tian , Teng Yan , Bingzhuo Zhong

While conventional (k=1) discrete-time barrier certificate conditions impose strict safety constraints by requiring the function to be non-increasing at every step, k-inductive barrier certificates relax this by allowing a temporary…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Ben Wooding , Hongchao Zhang , Taylor T. Johnson , Abolfazl Lavaei

This paper presents a novel data-driven framework for the robust safety verification and safe control synthesis of unknown monotone discrete-time systems. While existing data-driven safety analysis approaches are often either heuristic in…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Felipe Galarza-Jimenez , Majid Zamani , Saber Jafarpour

We present a data-driven method to synthesize robust control invariant (RCI) sets for linear parameter-varying (LPV) systems subject to unknown but bounded disturbances. A finite-length data set consisting of state, input, and scheduling…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Manas Mejari , Sampath Kumar Mulagaleti , Alberto Bemporad

In this paper, we introduce a data-driven framework for synthesis of provably-correct controllers for general nonlinear switched systems under complex specifications. The focus is on systems with unknown disturbances whose effects on the…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Ibon Gracia , Dimitris Boskos , Luca Laurenti , Morteza Lahijanian

In this paper, we present a novel data-driven approach to quantify safety for non-linear, discrete-time stochastic systems with unknown noise distribution. We define safety as the probability that the system remains in a given region of the…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Luca Laurenti , Alessandro Abate