Stabilization of underwater vehicle dynamics with symmetry-breaking potentials
โ Scribed by N.E. Leonard
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 646 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
We show how to stabilize, in stages, arbitrary steady translations of an underwater vehicle with feedback that derives from a potential and deliberately breaks symmetry in the dynamics. First, rotational symmetry is broken to ensure stability in the momentum parameters. Then, translational symmetry is broken to prevent drift. Stability of the closed-loop system is proved using the energy-Casimir method. A resulting property of the control law is robustness to model parameter uncertainty.
๐ SIMILAR VOLUMES
with 1 < p < n+2 n-2 , n 2, and 0 V (x) โ L โ , which may decay to 0 at infinity. We prove that if V is radial and satisfies then (1) admits a (ground state) positive solution. We do not use traditional variational methods and the result relies on the study of global solutions of the parabolic prob