DocumentCode :
2412078
Title :
Stabilization of a rotating rigid body by the energy momentum method
Author :
Zhao, Rongze ; Posbergh, Thomas A.
Author_Institution :
Control Sci. & Dynamical Syst., Minnesota Univ., Minneapolis, MN, USA
fYear :
1992
fDate :
1992
Firstpage :
1583
Abstract :
The authors discuss the stabilization by feedback control of a rigid body uniformly rotating about an arbitrary axis. They consider a class of feedback laws that depend on a parameter matrix W, which is nonsingular and symmetric. It is shown that under this class of feedback laws, the closed loop system is Hamiltonian and represents the motion of a generalized rigid body. For such systems the energy-momentum method enables determination of feedback gains which ensure the stability for the closed loop system. Several examples are used to demonstrate the methodology
Keywords :
angular momentum; closed loop systems; feedback; stability; Euler equations; Hamiltonian; Lie algebra; arbitrary axis; closed loop system; energy momentum method; feedback control; feedback gains; feedback laws; parameter matrix; rotating rigid body; stabilization; uniformly rotating; Aerospace engineering; Algebra; Closed loop systems; Control systems; Feedback control; Feedback loop; Solid modeling; Stability; Stability analysis; Symmetric matrices; Tensile stress;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
Type :
conf
DOI :
10.1109/CDC.1992.371460
Filename :
371460
Link To Document :
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