Exact solutions to a class of feedback systems on \(\mathsf{SO}(n)\)

DOI10.1016/j.automatica.2015.10.023zbMath1329.93110OpenAlexW2164182702MaRDI QIDQ901189

Johan Markdahl, Xiao-ming Hu

Publication date: 23 December 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.10.023

zbMATH Keywords

nonlinear systemsLie groupsglobal stabilitysampled-data systemspredictive controlattitude control

Mathematics Subject Classification ID

Related Items (3)

A geodesic feedback law to decouple the full and reduced attitude ⋮ Consensus on SO(3) with piecewise-continuous sinusoids ⋮ Orientation control on SO(3) with piecewise sinusoids

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers
• Exact solution of a triaxial gyrostat with one rotor
• Adaptive nonlinear control without overparametrization
• Optimal control on Lie groups with applications to attitude control
• Nonlinear systems. Analysis, stability, and control
• Switching in systems and control
• Hamel coefficients for the rotational motion of anN–dimensional rigid body
• Mathematical Systems Theory I
• Exact nonlinear control of large angle rotational maneuvers
• Lagrangian mechanics and variational integrators on two-spheres
• Asymptotic Smooth Stabilization of the Inverted 3-D Pendulum
• Homography-Based Visual Servo Control With Imperfect Camera Calibration
• Almost-Global Tracking of Simple Mechanical Systems on a General Class of Lie Groups
• Quaternion-Based Hybrid Control for Robust Global Attitude Tracking
• Rigid-Body Attitude Control
• Functions of Matrices
• On the Existence and Uniqueness of the Real Logarithm of a Matrix
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

This page was built for publication: Exact solutions to a class of feedback systems on \(\mathsf{SO}(n)\)