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In this paper, we propose a novel model predictive control (MPC) framework for output tracking that deals with partially unknown constraints. The MPC scheme optimizes over a learning and a backup trajectory. The learning trajectory aims to…

Optimization and Control · Mathematics 2022-05-10 Raffaele Soloperto , Ali Mesbah , Frank Allgöwer

With the recent surge of interest in using robotics and automation for civil purposes, providing safety and performance guarantees has become extremely important. In the past, differential games have been successfully used for the analysis…

Optimization and Control · Mathematics 2017-04-24 Mo Chen , Sylvia Herbert , Claire J. Tomlin

Safety is a central requirement for autonomous system operation across domains. Hamilton-Jacobi (HJ) reachability analysis can be used to construct "least-restrictive" safety filters that result in infrequent, but often extreme, control…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Athindran Ramesh Kumar , Kai-Chieh Hsu , Peter J. Ramadge , Jaime F. Fisac

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Hamilton-Jacobi (HJ) reachability is a rigorous mathematical framework that enables robots to simultaneously detect unsafe states and generate actions that prevent future failures. While in theory, HJ reachability can synthesize safe…

Robotics · Computer Science 2025-12-16 Kensuke Nakamura , Lasse Peters , Andrea Bajcsy

This paper introduces a neural Nonlinear Model Predictive Control (NMPC) framework for mapless, collision-free navigation in unknown environments with Aerial Robots, using onboard range sensing. We leverage deep neural networks to encode a…

Robotics · Computer Science 2025-11-27 Martin Jacquet , Marvin Harms , Kostas Alexis

Autonomous ground vehicles (AGVs) must navigate safely in cluttered environments while accounting for complex dynamics and environmental uncertainty. Hamilton-Jacobi Reachability (HJR) offers formal safety guarantees through the computation…

Robotics · Computer Science 2025-12-02 Granthik Halder , Rudrashis Majumder , Rakshith M R , Rahi Shah , Suresh Sundaram

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

In Bansal et al. (2019), a novel visual navigation framework that combines learning-based and model-based approaches has been proposed. Specifically, a Convolutional Neural Network (CNN) predicts a waypoint that is used by the dynamics…

Robotics · Computer Science 2020-05-19 Anjian Li , Somil Bansal , Georgios Giovanis , Varun Tolani , Claire Tomlin , Mo Chen

Hamilton-Jacobi (HJ) reachability analysis has been developed over the past decades into a widely-applicable tool for determining goal satisfaction and safety verification in nonlinear systems. While HJ reachability can be formulated very…

Robotics · Computer Science 2020-03-13 Vicenc Rubies-Royo , David Fridovich-Keil , Sylvia Herbert , Claire J. Tomlin

Multi-agent differential games are important and useful tools for analyzing many practical problems. With the recent surge of interest in using UAVs for civil purposes, the importance and urgency of developing tractable multi-agent analysis…

Systems and Control · Computer Science 2016-10-05 Mo Chen , Jennifer C. Shih , Claire J. Tomlin

We present a novel method to synthesize a terminal cost function for a nonlinear model predictive controller (MPC) through value function approximation using supervised learning. Existing methods enforce a descent property on the terminal…

Optimization and Control · Mathematics 2025-12-05 T. M. J. T. Baltussen , C. A. Orrico , A. Katriniok , W. P. M. H. Heemels , D. Krishnamoorthy

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

Optimization and Control · Mathematics 2024-03-12 Thomas Berger , Dario Dennstädt

Model Predictive Control (MPC) is a classic tool for optimal control of complex, real-world systems. Although it has been successfully applied to a wide range of challenging tasks in robotics, it is fundamentally limited by the prediction…

Robotics · Computer Science 2021-04-08 Nathan Hatch , Byron Boots

This paper presents a data-driven Model Predictive Control (MPC) for energy-efficient urban road driving for connected, automated vehicles. The proposed MPC aims to minimize total energy consumption by controlling the vehicle's longitudinal…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Eunhyek Joa , Eric Yongkeun Choi , Francesco Borrelli

This paper presents a distributed learning model predictive control (DLMPC) scheme for distributed linear time invariant systems with coupled dynamics and state constraints. The proposed solution method is based on an online distributed…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Yvonne R. Stürz , Edward L. Zhu , Ugo Rosolia , Karl H. Johansson , Francesco Borrelli

Reference tracking and obstacle avoidance rank among the foremost challenging aspects of autonomous driving. This paper proposes control designs for solving reference tracking problems in autonomous driving tasks while considering static…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

We unify Hamilton-Jacobi (HJ) reachability and Reinforcement Learning (RL) through a proposed running cost formulation. We prove that the resultant travel-cost value function is the unique bounded viscosity solution of a time-dependent…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Prashant Solanki , Isabelle El-Hajj , Jasper van Beers , Erik-Jan van Kampen , Coen de Visser

Safety is an important topic in autonomous driving since any collision may cause serious injury to people and damage to property. Hamilton-Jacobi (HJ) Reachability is a formal method that verifies safety in multi-agent interaction and…

Robotics · Computer Science 2021-05-24 Anjian Li , Liting Sun , Wei Zhan , Masayoshi Tomizuka , Mo Chen

Within a robot autonomy stack, the planner and controller are typically designed separately, and serve different purposes. As such, there is often a diffusion of responsibilities when it comes to ensuring safety for the robot. We propose…

Robotics · Computer Science 2020-08-04 Xinrui Wang , Karen Leung , Marco Pavone