A set of performance limitations is developed for a class of minimal fuel satellite attitude controls where the control torque is amplitude constrained. Both the fixed and free terminal time problems are considered. Conditions for controllability and minimal fuel controllability are derived using quantity of fuel and control time as parameters. The results are compared with those of a similar system where the control torques have been idealized to impulses.
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J.S. Meditch (1964) studied this question.
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