Stability conditions of angular motion of a rigid body with linear regulator
Abstract
The direct Liapunov method is used to derive sufficient and necessary conditions for the zero-rate steady-state global asymptotic stability of a rotating rigid body for a linear time-invariant feedback controller. The motion of the body is described by the Euler equation and external torque is the linear function of angular velocity. The stability conditions are extended to the case of a time-variant gain feedback regulator system.
- Publication:
-
11th International Symposium on Space Technology and Science
- Pub Date:
- 1975
- Bibcode:
- 1975spte.symp..697K
- Keywords:
-
- Angular Velocity;
- Feedback Control;
- Liapunov Functions;
- Motion Stability;
- Rigid Structures;
- Rotating Bodies;
- Asymptotic Methods;
- Euler Equations Of Motion;
- Linear Systems;
- Regulators;
- Speed Control;
- Steady State;
- Astrodynamics