Spacecraft control ignoring dM/dt

May 03, 2011 1 Replies

Kirk's _Optimal Control Theory_ (amazon.com/dp/0136380980) includes some pr= actice examples involving spacecraft control, "neglecting the change in mas= s resulting from fuel consumption" for simplicity. (To be fair, in a later= section -- after introducing inequality constraints on state & control -- = he does treat the full lunar soft-landing problem, including the changing s= ystem mass.)



My question: Is the simplification *ever* reasonable? Are there classes o= f rocket engines where the consumed fuel comprises so small a fraction of v= ehicle mass that it can be (to low order) ignored? Nuclear-thermal rockets= ? Ion drives?


--Joel


Steering thrusters, perhaps.

If the mission is long enough that the changing mass happens slowly with respect to the required vehicle dynamics (i.e., a trip to Mars on chemical rockets), then the control problem is eased to one of gain scheduling, rather than having to treat the thing as a full-blown time-varying problem.

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