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One of the most fundamental problems in Markov decision processes is analysis and control synthesis for safety and reachability specifications. We consider the stochastic reach-avoid problem, in which the objective is to synthesize a…

Optimization and Control · Mathematics 2017-10-09 Nikolaos Kariotoglou , Maryam Kamgarpour , Tyler Summers , John Lygeros

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

This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

Systems and Control · Computer Science 2018-12-07 Cees F. Verdier , Manuel Mazo

Neural networks (NNs) have been shown to learn complex control laws successfully, often with performance advantages or decreased computational cost compared to alternative methods. Neural network controllers (NNCs) are, however, highly…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Oliver Gates , Matthew Newton , Konstantinos Gatsis

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma

A method is proposed to compute robust inner-approximations to the backward reachable set for uncertain nonlinear systems. It also produces a robust control law that drives trajectories starting in these sets to the target set. The method…

Systems and Control · Electrical Eng. & Systems 2020-03-13 He Yin , Peter Seiler , Murat Arcak

We present a method of computing backward reachable sets for nonlinear discrete-time control systems possessing continuous symmetries. The starting point is a dynamic game formulation of reachability analysis where control inputs aim to…

Systems and Control · Computer Science 2018-01-30 John Maidens , Murat Arcak

Unmanned aerial vehicles (UAVs) suffer from sensor drifts in GPS denied environments, which can lead to potentially dangerous situations. To avoid intolerable sensor drifts in the presence of GPS spoofing attacks, we propose a safety…

Systems and Control · Electrical Eng. & Systems 2020-04-14 Wenbin Wan , Hunmin Kim , Naira Hovakimyan , Lui Sha , Petros G. Voulgaris

Control Co-Design (CCD) considers the coupled effects of both the plant and control parameters to optimize a system's closed-loop transient performance during the design stage. This paper presents a new method for CCD with guarantees on…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Trevor J. Bird , Jacob A. Siefert , Herschel C. Pangborn , Neera Jain

Autonomous mobile robots must maintain safety, but should not sacrifice performance, leading to the classical reach-avoid problem: find a trajectory that is guaranteed to reach a goal and avoid obstacles. This paper addresses the near…

Robotics · Computer Science 2024-10-28 Long Kiu Chung , Wonsuhk Jung , Chuizheng Kong , Shreyas Kousik

The safety region of operation of a system is the subset of allowed outputs for which no undesirable outcome would occur. Knowing if a system would ever leave its safety regions of operation is important information for the planning and…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Ivan Perez Avellaneda , Luis A. Duffaut Espinosa

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

Designing controllers that accomplish tasks while guaranteeing safety constraints remains a significant challenge. We often want an agent to perform well in a nominal task, such as environment exploration, while ensuring it can avoid unsafe…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Azra Begzadić , Nikhil Uday Shinde , Sander Tonkens , Dylan Hirsch , Kaleb Ugalde , Michael C. Yip , Jorge Cortés , Sylvia Herbert

Objective: To obtain explainable guarantees in the online synthesis of optimal controllers for high-integrity cyber-physical systems, we re-investigate the use of exhaustive search as an alternative to reinforcement learning. Approach: We…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Mario Gleirscher , Philip Hönnecke

Reinforcement Learning (RL) algorithms have achieved remarkable performance in decision making and control tasks due to their ability to reason about long-term, cumulative reward using trial and error. However, during RL training, applying…

Robotics · Computer Science 2021-03-03 Yifei Simon Shao , Chao Chen , Shreyas Kousik , Ram Vasudevan

We propose a scalable method for forward stochastic reachability analysis for uncontrolled linear systems with affine disturbance. Our method uses Fourier transforms to efficiently compute the forward stochastic reach probability measure…

Systems and Control · Computer Science 2017-02-14 Abraham P. Vinod , Baisravan Homchaudhuri , Meeko M. K. Oishi

Reach-Avoid-Stay (RAS) optimal control enables systems such as robots and air taxis to reach their targets, avoid obstacles, and stay near the target. However, current methods for RAS often struggle with handling complex, dynamic…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Gabriel Chenevert , Jingqi Li , Achyuta kannan , Sangjae Bae , Donggun Lee

Controller synthesis is in essence a case of model-based planning for non-deterministic environments in which plans (actually ''strategies'') are meant to preserve system goals indefinitely. In the case of supervisory control environments…

Machine Learning · Computer Science 2023-05-05 Tomás Delgado , Marco Sánchez Sorondo , Víctor Braberman , Sebastián Uchitel

This paper addresses the problem of forbidden states for safe Petri net modeling discrete event systems. We present an efficient method to construct a controller. A set of linear constraints allow forbidding the reachability of specific…

Information Theory · Computer Science 2009-04-06 Abbas Dideban , M. Zareiee , Hassane Alla

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…