Meta-heuristic Multi-objective On-orbit Service Mission Optimization Design Method For Medium And High Orbit Satellites

Due to medium/high orbit satellites are in high orbit,complex space environment and prone to failure,on-orbit service can be used to extend their service life.In order to realize the long-term and stable service of spacecraft to medium/high orbit satellites,it is necessary to optimize the on-orbit service task design of service spacecraft.At present,the research of on-orbit service mission design mainly focuses on the optimization design of continuous rendezvous orbit of service spacecraft,while other problems in this process are ignored.In order to realize the complete optimization design of on-orbit service task,there are many difficulties to be solved.To provide refueling and maintenance for service spacecraft,it is necessary to deploy several on-orbit service stations reasonably in space.In view of the large number of satellites in service,the collection with the most service value should be selected through comprehensive evaluation.In order to achieve the shortest service time,minimum fuel consumption,the highest economic value and other indicators,while ensuring the urgency of satellite tasks,service station time-window and other constraints,it is necessary to optimize the access sequence of multiple service spacecraft to complete multiple tasks.In order to further reduce the fuel consumption of the service spacecraft during flight,a low-thrust engine with larger specific impulse should be used to optimize the visit orbit of the service spacecraft.The above problems can be theoretically classified as strong nonlinear,multi-constraint and multi-objective optimization problems,which can be solved by metaheuristic algorithm.This thesis takes the medium/high orbit satellite on-orbit service task optimization design as the research background,using multi-objective optimization framework,applied with metaheuristic algorithms,to study the on-orbit service station deployment optimization problem.On this basis,the optimization selection of the service objects,service spacecraft visit sequence optimization and low-thrust spacecraft orbit design are studied.The main research work of this thesis includes the following contents:Research on the relevant theoretical basis.The time system and coordinate system are defined to describe the motion state of celestial bodies in space.A two-body motion model is established,and the mathematical models of orbit elements and perturbation force are given.As the basis of the orbit optimization problem,the calculation methods of impulse orbit and low-thrust orbit are analyzed.The model of multi-objective optimization problem is established and the evaluation indexes and typical methods of multi-objective optimization are given.The mathematical model of multi-objective optimization problem is established,and the evaluation indexes and typical methods of multi-objective optimization are given.Finally,the research idea of realizing service vehicles to complete on-orbit service mission is proposed.In order to meet the requirements of fuel consumable and maintenance demand of the service vehicles during mission,the deployment methods of general on-orbit service stations(for all satellites in medium/high orbit satellite cluster)and special on-orbit service stations(for specific service objects)are studied.Considering the types,economic values and service capabilities of the service stations,the optimization model of service station deployment is established.To solve the nonconvex,nonlinear problem with a large number of local optimal solutions,a new whale army optimization algorithm is proposed.The concepts of deep prey whale and commander are introduced,and the group search method is adopted to improve the local and global search ability of the algorithm,so that it is suitable for solving complex universal test problems with unknown mathematical properties.In view of the large number of potential service object groups with on-orbit service demand on medium and high orbits,based on the analysis of task urgency and cooperation of satellites,the optimization selection method of service object is proposed considering five kinds of service items,such as fuel filling and satellite maintenance.Considering the complexity of the problem,a proportional,integral and differential search model is established,and a proportional-integral-differential evolutionary algorithm is proposed combined with a feedback mechanism of parameter adjustment.Finally,the algorithm for determining the service task category required by potential service objects and the algorithm for selecting service objects with cooperative working relationship are proposed.The discrete proportional integral-differential evolutionary algorithm is used as the multiobjective optimizer to give the multi-objective optimization selection algorithm for service objects.Aiming at the shortcomings of numerical method for solving low-thrust orbit,such as sensitive initial value,small convergence area and large amount of calculation,a fast and high precision low-thrust orbit design method based on shape approximation theory is proposed.On the one hand,a high-order shape approximation method based on Fourier series expansion is proposed to solve the problem of orbit transfer between celestial bodies with different semi-major axes,and the coefficients of the high-order shape equation are optimized by metaheuristic algorithm.On the other hand,aiming at the problem of orbit rendezvous between spacecraft with equal semi-major axes,a two-stage shape approximation method is proposed based on the analysis of orbit safety,and a meta-heuristic algorithm is used to optimize the orbit elements and flight time of two-phase orbits.Based on the above-mentioned deployed on-orbit service station,the selected service object group and the designs method for low-thrust orbit,the optimization methods for the visit sequence and the visit orbit of the service vehicles to realize the on-orbit service mission are proposed.Based on the analysis of the service conditions of the on-orbit service station,a three-pulse orbit is adopted to realize the flight orbits of service vehicles,and the visit sequence optimization model of the service spacecraft is established.Based on the visit sequence obtained,a design method of service spacecraft visit orbit is proposed using low-thrust maneuver.To solve the large scale and discrete problems,a multi-objective optimization framework,An D-NS,is proposed to obtain a convergent,extensive and uniform Pareto solution set for on-orbit service mission design of service vehicles.