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This paper exploits the control algorithm design of fuel-optimal satellite formation keeping strategy using linear programming approach. In the study, a fuel-optimal control problem is converted into a linear programming problem by means of an approximate discretization method. Furthermore, model predictive control approach is adopted to realize the fuel-optimal maneuver. At last, the designed control...
An effective method is proposed to formulate and solve a fuel-optimal control problem of satellite formation maneuver using continuous low thrusters. To ensure long-term flying formation and to save fuel practically possible, the final satellite formation is designed as the passive and periodic relative orbits accommodating the J2 perturbation. Based on the conditions of the passive and periodic relative...
A queuing system with dual services, i.e., the primary service and the auxiliary service, is considered in the present article. The server has to allocate part of its capacity to process the additional service when the auxiliary service is requested. We show that the possible optimal auxiliary capacity is actually on the convex envelope of the auxiliary cost function. Also, the optimal control policy...
We consider an M/M/1 queueing system with auxiliary service in addition to primary service. When the auxiliary service is requested, the server allocates part of its capacity to process the additional service. We show that the possible optimal auxiliary capacity is actually on the convex envelope of the auxiliary cost function. Also, the optimal control policy is that the allocated capacity for auxiliary...
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