The geometric convexity on SE(3) and its application to the formation tracking in multi-vehicle systems

DOI10.1080/00207179.2017.1361043zbMath1414.93073OpenAlexW2740152203MaRDI QIDQ5742534

Xiuhui Peng, Zhi-Yong Geng, Junyong Sun

Publication date: 15 May 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2017.1361043

zbMATH Keywords

Pontryagin's minimum principleformation trackinggeometric convexitymulti-vehicle systemsspecial Euclidean group

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Application models in control theory (93C95) Geometric methods (93B27) Decentralized systems (93A14)

Related Items (2)

Trajectory tracking of nonholonomic mobile robots by geometric control on special Euclidean group ⋮ Roto-translation invariant formation of fixed-wing UAVs in 3D: feasibility and control

Cites Work

• Unnamed Item
• Unnamed Item
• Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph
• Necessary and sufficient conditions for containment control of networked multi-agent systems
• Distributed finite-time attitude containment control for multiple rigid bodies
• Second-order tracking control for leader-follower multi-agent flocking in directed graphs with switching topology
• Tracking control for multi-agent consensus with an active leader and variable topology
• Adaptive output feedback consensus tracking for heterogeneous multi-agent systems with unknown dynamics under directed graphs
• Collective motions and formations under pursuit strategies on directed acyclic graphs
• Tracking for fully actuated mechanical systems: A geometric framework
• Control theory from the geometric viewpoint.
• Consensus based formation control laws for systems on Lie groups
• A survey of multi-agent formation control
• Adaptive consensus tracking for linear multi-agent systems with heterogeneous unknown nonlinear dynamics
• Consensus for formation control of multi-agent systems
• Graph-theoretic characterisations of the steady states for containment control
• Coordinated Motion Design on Lie Groups
• Finite-time optimal formation control of multi-agent systems on the Lie group SE(3)
• Hierarchical subspace identification of directed acyclic graphs
• Information Flow and Cooperative Control of Vehicle Formations
• Almost-Global Tracking of Simple Mechanical Systems on a General Class of Lie Groups
• Cooperative Control of Dynamical Systems

This page was built for publication: The geometric convexity on SE(3) and its application to the formation tracking in multi-vehicle systems