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Hamilton-Jacobi (HJ) reachability is a method that provides rigorous analyses of the safety properties of dynamical systems. This method has been successfully applied to many low-dimensional dynamical system models such as coarse models of…

Optimization and Control · Mathematics 2016-09-20 Mo Chen , Sylvia Herbert , Claire J. Tomlin

Symbolic control techniques aim to satisfy complex logic specifications. A critical step in these techniques is the construction of a symbolic (discrete) abstraction, a finite-state system whose behaviour mimics that of a given…

Artificial Intelligence · Computer Science 2021-04-29 Alex Devonport , Adnane Saoud , Murat Arcak

Ensuring safety for autonomous robots operating in dynamic environments can be challenging due to factors such as unmodeled dynamics, noisy sensor measurements, and partial observability. To account for these limitations, it is common to…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Shaohang Han , Matti Vahs , Jana Tumova

We use model-free reinforcement learning, extensive simulation, and transfer learning to develop a continuous control algorithm that has good zero-shot performance in a real physical environment. We train a simulated agent to act optimally…

Artificial Intelligence · Computer Science 2018-03-09 M Ferguson , K. H. Law

Autonomous systems are increasingly deployed in real-world environments, where they must achieve high performance while maintaining safety under state and input constraints. Although Model Predictive Control (MPC) provides a principled…

Robotics · Computer Science 2026-04-28 Hao Wang , Nam Nguyen , Armand Jordana , Ludovic Righetti , Somil Bansal

Learning has propelled the cutting edge of performance in robotic control to new heights, allowing robots to operate with high performance in conditions that were previously unimaginable. The majority of the work, however, assumes that the…

Robotics · Computer Science 2018-03-13 Christopher D. McKinnon , Angela P. Schoellig

This paper introduces a new formulation for stochastic optimal control and stochastic dynamic optimization that ensures safety with respect to state and control constraints. The proposed methodology brings together concepts such as…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Marcus Aloysius Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

Passivity is necessary for robots to fluidly collaborate and interact with humans physically. Nevertheless, due to the unconstrained nature of passivity-based impedance control laws, the robot is vulnerable to infeasible and unsafe…

Robotics · Computer Science 2024-03-18 Zhiquan Zhang , Tianyu Li , Nadia Figueroa

Previous approaches to constructing abstractions for control systems rely on geometric conditions or, in the case of an interconnected control system, a condition on the interconnection topology. Since these conditions are not always…

Optimization and Control · Mathematics 2020-05-22 Stanley W. Smith , Murat Arcak , Majid Zamani

Goal-conditioned policies, such as those learned via imitation learning, provide an easy way for humans to influence what tasks robots accomplish. However, these robot policies are not guaranteed to execute safely or to succeed when faced…

Robotics · Computer Science 2025-03-05 Hyun Joe Jeong , Rosy Chen , Andrea Bajcsy

Runtime energy management has become quintessential for multi-sensor autonomous systems at the edge for achieving high performance given the platform constraints. Typical for such systems, however, is to have their controllers designed with…

Systems and Control · Electrical Eng. & Systems 2023-02-27 Mohanad Odema , James Ferlez , Yasser Shoukry , Mohammad Abdullah Al Faruque

Despite the impressive recent advances in learning-based robot control, ensuring robustness to out-of-distribution conditions remains an open challenge. Safety filters can, in principle, keep arbitrary control policies from incurring…

Robotics · Computer Science 2025-01-17 Duy P. Nguyen , Kai-Chieh Hsu , Wenhao Yu , Jie Tan , Jaime F. Fisac

Guaranteeing safe behavior on complex autonomous systems -- from cars to walking robots -- is challenging due to the inherently high dimensional nature of these systems and the corresponding complex models that may be difficult to determine…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Tamas G. Molnar , Aaron D. Ames

We consider abstraction-based design of output-feedback controllers for dynamical systems with a finite set of inputs and outputs against specifications in linear-time temporal logic. The usual procedure for abstraction-based controller…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Rupak Majumdar , Necmiye Ozay , Anne-Kathrin Schmuck

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

Automatic off-line design is an attractive approach to implementing robot swarms. In this approach, a designer specifies a mission for the swarm, and an optimization process generates suitable control software for the individual robots…

For safely applying reinforcement learning algorithms on high-dimensional nonlinear dynamical systems, a simplified system model is used to formulate a safe reinforcement learning framework. Based on the simplified system model, a…

Robotics · Computer Science 2021-09-09 Zhehua Zhou , Ozgur S. Oguz , Marion Leibold , Martin Buss

Designing controllers to satisfy temporal requirements has proven to be challenging for dynamical systems that are affected by uncertainty. This is mainly due to the states evolving in a continuous uncountable space, the stochastic…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Birgit C. van Huijgevoort , Ruohan Wang , Sadegh Soudjani , Sofie Haesaert

Pneumatically-actuated anthropomorphic robots with high degrees of freedom (DOF) offer significant potential for physical human-robot interaction. However, precise control of pneumatic actuators is challenging due to their inherent…

Robotics · Computer Science 2026-05-11 Hiroshi Atsuta , Hisashi Ishihara , Minoru Asada

We propose an efficient symbolic control synthesis algorithm for equivariant continuous-time dynamical systems to satisfy reach-avoid specifications. The algorithm exploits dynamical symmetries to construct lean abstractions to avoid…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Hussein Sibai , Sacha Huriot , Tyler Martin , Murat Arcak