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This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares

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

The design of the performance index, also referred to as cost or reward shaping, is central to both optimal control and reinforcement learning, as it directly determines the behaviors, trade-offs, and objectives that the resulting control…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Ayush Rai , Shaoshuai Mou , Brian D. O. Anderson

Shielding has emerged as a promising approach for ensuring safety of AI-controlled autonomous systems. The algorithmic goal is to compute a shield, which is a runtime safety enforcement tool that needs to monitor and intervene the AI…

Artificial Intelligence · Computer Science 2025-05-29 Davide Corsi , Kaushik Mallik , Andoni Rodriguez , Cesar Sanchez

Self-adaptive systems (SASs) are capable of adjusting its behavior in response to meaningful changes in the operational con-text and itself. The adaptation needs to be performed automatically through self-managed reactions and…

Software Engineering · Computer Science 2017-04-06 Zhuoqun Yang , Zhi Jin , Zhi Li

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

In this paper, we propose a method for bounding the probability that a stochastic differential equation (SDE) system violates a safety specification over the infinite time horizon. SDEs are mathematical models of stochastic processes that…

Dynamical Systems · Mathematics 2020-06-04 Shenghua Feng , Mingshuai Chen , Bai Xue , Sriram Sankaranarayanan , Naijun Zhan

Cyber-physical systems are often safety-critical in that violations of safety properties may lead to catastrophes. We propose a method to enforce the safety of systems with real-valued signals by synthesizing a runtime enforcer called the…

Logic in Computer Science · Computer Science 2019-08-16 Meng Wu , Jingbo Wang , Jyotirmoy Deshmukh , Chao Wang

In this draft article, we consider the problem of achieving safe control of a dynamic system for which the safety index or (control barrier function (loosely)) has relative degree equal to two. We consider parameter affine nonlinear dynamic…

Optimization and Control · Mathematics 2022-08-26 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

Machine Learning · Computer Science 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

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

This paper proposes a constructive approach to safety control of nonlinear cascade systems subject to multiple state constraints. New design ingredients include a unified characterization of safety and stability for systematic designs of…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Si Wu , Tengfei Liu , Zhong-Ping Jiang

System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state…

Optimization and Control · Mathematics 2022-06-07 Lauren Conger , Shih-Hao Tseng

In cyber-physical systems, malicious and resourceful attackers could penetrate the system through cyber means and cause significant physical damage. Consequently, detection of such attacks becomes integral towards making these systems…

Computer Science and Game Theory · Computer Science 2017-02-10 Amin Ghafouri , Waseem Abbas , Aron Laszka , Yevgeniy Vorobeychik , Xenofon Koutsoukos

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

Incremental input-to-state stability (delta-ISS) offers a robust framework to ensure that small input variations result in proportionally minor deviations in the state of a nonlinear system. This property is essential in practical…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Mahdieh Zaker , David Angeli , Abolfazl Lavaei

This work applies universal adaptive control to control barrier functions to achieve forward invariance of a safe set despite the presence of unmatched parametric uncertainties. The approach combines two ideas. The first is to construct a…

Systems and Control · Electrical Eng. & Systems 2022-08-17 Brett T. Lopez , Jean-Jacques Slotine

Interconnected systems such as power systems and chemical processes are often required to satisfy safety properties in the presence of faults and attacks. Verifying safety of these systems, however, is computationally challenging due to…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Luyao Niu , Abdullah Al Maruf , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

Generating safety-critical scenarios is essential for testing and verifying the safety of autonomous vehicles. Traditional optimization techniques suffer from the curse of dimensionality and limit the search space to fixed parameter spaces.…

Machine Learning · Computer Science 2024-03-08 Haolan Liu , Liangjun Zhang , Siva Kumar Sastry Hari , Jishen Zhao

Goals are first-class entities in a self-adaptive system (SAS) as they guide the self-adaptation. A SAS often operates in dynamic and partially unknown environments, which cause uncertainty that the SAS has to address to achieve its goals.…

Software Engineering · Computer Science 2019-05-23 Gabriela Félix Solano , Ricardo Diniz Caldas , Genaína Nunes Rodrigues , Thomas Vogel , Patrizio Pelliccione