Title :
The control of angular momentum for asymmetric rigid bodies
Author_Institution :
The Aerospace Corporation, Los Angeles, CA, USA
fDate :
6/1/1982 12:00:00 AM
Abstract :
A linear feedback law is obtained in closed form for the regulation of the angular momentum of an arbitrary rotating rigid body, without linearizing hypotheses of symmetry, yet optimal for a suitable quadratic energy cost. The evolution of the amplitude of the controlled angular momentum is thereby obtained in closed form, whence asymptotic closed-loop stability and exact open-loop terminal rate nulling are derived. Earlier steady-state results are recovered as particular cases.
Keywords :
Mechanical variables control; Cost function; Linear feedback control systems; Nonlinear equations; Open loop systems; Optimal control; Regulators; Riccati equations; Stability; Steady-state; Torque control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1102973