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For a broad class of nonlinear systems, we formulate the problem of guaranteeing safety with optimality under constraints. Specifically, we define controlled safety for differential inclusions with constraints on the states and the inputs.…

Optimization and Control · Mathematics 2022-11-24 Masoumeh Ghanbarpour , Axton Isaly , Ricardo G. Sanfelice , Warren E. Dixon

The problem of designing a stabilizing feedback controller in the presence of saturating actuators and multi-rate (asynchronous) aperiodic state measurements is studied. Specifically, we consider a scenario in which measurements of the…

Systems and Control · Electrical Eng. & Systems 2022-10-21 Francesco Ferrante , Ricardo G. Sanfelice , Sophie Tarbouriech

Control Barrier Functions and Quadratic Programming are increasingly used for designing controllers that consider critical safety constraints. However, like Artificial Potential Fields, they can suffer from the stable spurious equilibrium…

Systems and Control · Electrical Eng. & Systems 2023-07-20 Vinicius Mariano Goncalves , Prashanth Krishnamurthy , Anthony Tzes , Farshad Khorrami

This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how SLS shifts the controller synthesis task from the design of…

Optimization and Control · Mathematics 2019-04-04 James Anderson , John C. Doyle , Steven Low , Nikolai Matni

In this paper, the safety-critical control problem for uncertain systems under multiple control barrier function (CBF) constraints and input constraints is investigated. A novel framework is proposed to generate a safety filter that…

Systems and Control · Electrical Eng. & Systems 2025-03-21 Jinyang Dong , Shizhen Wu , Rui Liu , Xiao Liang , Biao Lu , Yongchun Fang

In this paper, we investigate the problem of synthesizing controllers for temporal logic specifications under security constraint. We assume that there exists a passive intruder (eavesdropper) that can partially observe the behavior of the…

Systems and Control · Electrical Eng. & Systems 2023-05-24 Yu Chen , Shuo Yang , Rahul Mangharam , Xiang Yin

For a nonlinear system (e.g. a robot) with its continuous state space trajectories constrained by a linear temporal logic specification, the synthesis of a low-level controller for mission execution often results in a non-convex…

Robotics · Computer Science 2020-09-08 Binghan He , Jaemin Lee , Ufuk Topcu , Luis Sentis

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

Synthesizing safety controllers for general nonlinear systems is a highly challenging task, particularly when the system models are unknown, and input constraints are present. While some recent efforts have explored data-driven safety…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Behrad Samari , Abolfazl Lavaei

In this paper, we consider the use of barrier function-based approaches for the safe control problem in stochastic systems. With the presence of stochastic uncertainties, a myopic controller that ensures safe probability in infinitesimal…

Dynamical Systems · Mathematics 2021-11-04 Zhuoyuan Wang , Haoming Jing , Christian Kurniawan , Albert Chern , Yorie Nakahira

In this paper, we consider the problem of safe control synthesis of general controlled nonlinear systems in the presence of bounded additive disturbances. Towards this aim, we first construct a governing augmented state space model…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Vrushabh Zinage , Rohan Chandra , Efstathios Bakolas

A common assumption on the deployment of safeguarding controllers on the digital platform is that high sampling frequency translates to a small violation of safety. This paper investigates and formalizes this assumption through the lens of…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Gilbert Bahati , Pio Ong , Aaron D. Ames

This paper presents a control law for stabilization and trajectory tracking of a multicopter subject to safety constraints. The proposed approach guarantees forward invariance of a prescribed safety set while ensuring smooth tracking…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Jhon Manuel Portella Delgado , Ankit Goel

We demonstrate the use of a new, control-oriented notion of finite state approximation for a particular class of hybrid systems. Specifically, we consider the problem of designing a stabilizing binary output feedback switching controller…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf , Alexandre Megretski , Munther A. Dahleh

Recent advances in learning-based perception systems have led to drastic improvements in the performance of robotic systems like autonomous vehicles and surgical robots. These perception systems, however, are hard to analyze and errors in…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Shromona Ghosh , Yash Vardhan Pant , Hadi Ravanbakhsh , Sanjit A. Seshia

In this paper, we propose an approach for synthesizing provable reach-avoid controllers, which drive a deterministic system operating in an unknown environment to safely reach a desired target set. The approach falls within the reachability…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Jianqiang Ding , Taoran Wu , Yuping Qian , Lijun Zhang , Bai Xue

Safety is the major consideration in controlling complex dynamical systems using reinforcement learning (RL), where the safety certificate can provide provable safety guarantee. A valid safety certificate is an energy function indicating…

Machine Learning · Computer Science 2022-05-27 Haitong Ma , Changliu Liu , Shengbo Eben Li , Sifa Zheng , Jianyu Chen

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

In this paper, we propose a compositional framework for the construction of control barrier certificates for large-scale stochastic switched systems accepting multiple control barrier certificates with some dwell-time conditions. The…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Ameneh Nejati , Sadegh Soudjani , Majid Zamani

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark
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