Feedback Control of a Nonholonomic Underwater Vehicle With a Constant Desired Configuration
- 1 February 1996
- journal article
- research article
- Published by SAGE Publications in The International Journal of Robotics Research
- Vol. 15 (1) , 24-35
- https://doi.org/10.1177/027836499601500102
Abstract
In this article we present a feedback control law that gives exponential convergence of a nonholonomic underwater vehicle to a constant desired configuration. This is achieved using a piecewise smooth feedback control law that is based on previous work on the control of nonholonomic mobile robots in the plane. The kinematic model of the underwater vehicle is given in SE(3) by homogeneous transformation matrices, and attitude deviations are given by Euler parameters. This gives a global description without singularities. It is also shown how controllability of the nonholonomic underwater vehicle can be analyzed in SE(3) without the use of local charts. The inputs of the system are the three angular velocity components and the forward velocity.Keywords
This publication has 10 references indexed in Scilit:
- Velocity and torque feedback control of a nonholonomic cartPublished by Springer Nature ,2006
- Attitude stabilization with a nonholonomic constraintPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Nonholonomic control systems: from steering to stabilization with sinusoidsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Smooth Time-Periodic Feedback Solutions for Nonholonomic Motion PlanningPublished by Springer Nature ,1993
- Exponential stabilization of mobile robots with nonholonomic constraintsIEEE Transactions on Automatic Control, 1992
- Explicit design of time-varying stabilizing control laws for a class of controllable systems without driftSystems & Control Letters, 1992
- A globally convergent angular velocity observer for rigid body motionIEEE Transactions on Automatic Control, 1991
- Nonlinear Dynamical Control SystemsPublished by Springer Nature ,1990
- Matrix GroupsPublished by Springer Nature ,1984
- Lie Groups and Compact GroupsPublished by Cambridge University Press (CUP) ,1977