A real-time game theoretic planner for autonomous two-player drone racing

R Spica, E Cristofalo, Z Wang… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
In this article, we propose an online 3-D planning algorithm for a drone to race competitively
against a single adversary drone. The algorithm computes an approximation of the Nash …

Safe occlusion-aware autonomous driving via game-theoretic active perception

Z Zhang, JF Fisac - arXiv preprint arXiv:2105.08169, 2021 - arxiv.org
Autonomous vehicles interacting with other traffic participants heavily rely on the perception
and prediction of other agents' behaviors to plan safe trajectories. However, as occlusions …

Nonlinear state-feedback design for vehicle lateral control using sum-of-squares programming

AM Ribeiro, AR Fioravanti, A Moutinho… - Vehicle System …, 2022 - Taylor & Francis
This work addresses the lateral stabilisation problem of four-wheels ground vehicles. The
objective is to estimate the largest state-space region such that the closed-loop vehicle …

Infinite-horizon reach-avoid zero-sum games via deep reinforcement learning

J Li, D Lee, S Sojoudi, CJ Tomlin - arXiv preprint arXiv:2203.10142, 2022 - arxiv.org
In this paper, we consider the infinite-horizon reach-avoid zero-sum game problem, where
the goal is to find a set in the state space, referred to as the reach-avoid set, such that the …

Signal temporal logic meets reachability: Connections and applications

M Chen, Q Tam, SC Livingston, M Pavone - International Workshop on the …, 2018 - Springer
Signal temporal logic (STL) and reachability analysis are effective mathematical tools for
formally analyzing the behavior of robotic systems. STL is a specification language that uses …

Guaranteed-safe approximate reachability via state dependency-based decomposition

A Li, M Chen - 2020 American Control Conference (ACC), 2020 - ieeexplore.ieee.org
Hamilton Jacobi (HJ) Reachability is a formal verification tool widely used in robotic safety
analysis. Given a target set as unsafe states, a dynamical system is guaranteed not to enter …

Safe set-based trajectory planning for robotic manipulators

R McGovern, N Athanasopoulos… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Inspired by the line of seminal works on projected path dynamics and time-optimal control of
robots, which originated in the 1980s, and recent advances on the computation of safe sets …

Fast, smooth, and safe: implicit control barrier functions through reach-avoid differential dynamic programming

AR Kumar, KC Hsu, PJ Ramadge… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
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 …

Coordinated defense allocation in reach-avoid scenarios with efficient online optimization

J Liu, Z Ouyang, J Yang, H Chen, H Lu… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper, we present a dual-layer online optimization strategy for defender robots
operating in multiplayer reach-avoid games within general convex environments. Our goal is …

Pursuit-evasion differential games of players with different speeds in spaces of different dimensions

S Li, C Wang, G Xie - 2022 American Control Conference …, 2022 - ieeexplore.ieee.org
We study pursuit-evasion differential games between a faster pursuer moving in 3D space
and an evader moving in a plane. We first extend the well-known Apollonius circle to 3D …