Exponential stabilization of a nonholonomic underwater vehicle with constant desired configuration
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 20-25 vol.1
- https://doi.org/10.1109/robot.1994.351016
Abstract
Presents a feedback control law which gives exponential stabilization of a nonholonomic underwater vehicle to a constant desired configuration. This is achieved by transforming the kinematic model into a chained form, and applying a control scheme for exponential stabilization of chained form systems. The nonholonomic vehicle under consideration is described by a kinematic model with three angular velocities and one translational velocity component as inputs. The kinematic model of the underwater vehicle is given in SE(3) by a position vector and a rotation matrix. Due to the difference in topology, the transformation into chained form is not global, but has singularities for large angular deviations. This problem is discussed, and conditions for avoiding the singularities are derived.<>Keywords
This publication has 8 references indexed in Scilit:
- Nonholonomic control systems: from steering to stabilization with sinusoidsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Nonlinear tracking control of autonomous underwater vehiclesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- An exponentially convergent control law for a nonholonomic underwater vehiclePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Nonholonomic motion control of an autonomous underwater vehiclePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Exponential stabilization of nonholonomic chained systemsIEEE Transactions on Automatic Control, 1995
- 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
- Controllability and stabilizability properties of a nonholonomic control systemPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1990