Optimal stabilization of rigid body attitude
نویسندگان
چکیده
منابع مشابه
Optimal Attitude Control of a Rigid Body using Geometrically
An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete necessary conditions for optimality are derived, and an efficient computational approach is proposed to solve the resulting two point boundary value problem. The us...
متن کاملInverse optimal stabilization of a rigid spacecraft
The authors present an approach for constructing optimal feedback control laws for regulation of a rotating rigid spacecraft. They employ the inverse optimal control approach which circumvents the task of solving a Hamilton–Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapuno...
متن کاملStabilization of a fluid-rigid body system
We consider the mathematical model of a rigid ball moving in a viscous incompressible fluid occupying a bounded domain Ω, with an external force acting on the ball. We investigate in particular the case when the external force is what would be produced by a spring and a damper connecting the center of the ball h to a fixed point h1 ∈ Ω. If the initial fluid velocity is sufficiently small, and t...
متن کاملInverse Optimal Stabilization of a Rigid
| We present an approach for constructing optimal feedback control laws for regulation of a rotating rigid spacecraft. We employ the inverse optimal control approach which circumvents the task of solving a Hamilton-Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapunov functio...
متن کاملNew Control Laws for the Attitude Stabilization of Rigid Bodies
This paper introduces a new class of globally asymptotically stabilizing feedback control laws for the complete i e dynamics and kinematics attitude motion of a rotating rigid body Control laws are given in terms of two new parameterizations of the rotation group derived using stereographic projection The stabilizing properties of the proposed controllers are proved using Lyapunov functions whi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1963
ISSN: 0022-247X
DOI: 10.1016/0022-247x(63)90012-x