Title :
An optimization result with application to optimal spacecraft reaction wheel orientation design
Author :
Bayard, David S.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Abstract :
This paper provides the globally optimal solution for both minimizing and maximizing the squared Frobenious norm of YQX (where X and Y are arbitrary compatibly dimensioned matrices) over the class of orthogonal matrices Q. The specialization of this optimization result to 3 dimensions is found applicable to optimally orienting spacecraft reaction wheel actuators with respect to specified torque, momentum storage and power requirements
Keywords :
attitude control; matrix algebra; momentum; optimal control; optimisation; space vehicles; momentum; optimization; orthogonal matrix; quadratic cost problem; reaction wheel orientation; spacecraft; Actuators; Cost function; Design optimization; Geometry; Laboratories; Propulsion; Space technology; Space vehicles; Torque; Wheels;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945932
