Abstract
We derive a feedback control law that uses internal rotors to globally stabilize steady translation of an underwater vehicle that is subject to fluid drag as well as conservative rigid body and fluid forces. This result extends our previous work on asymptotic stabilization of the system where physical dissipation was neglected. Our stabilizing control laws consist of two terms: the first term addresses the conservative part of the system by shaping energy to yield Lyapunov stability, and the second term adds dissipation to ensure asymptotic stability to the motion of interest. The Lyapunov function must be suitably modified in the second step since fluid drag destroys conservation of momentum, and the feedback-controlled dissipation must be carefully designed to dominate the possibly destabilizing fluid drag.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2527-2532 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| State | Published - 1999 |
| Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization