Research On Pursuit Theory And Its Application To Space Mission

Inspired by the pursuit strategy in creatures'motion, this paper makes a research on the principles and application of cyclic pursuit algorithm in satellites formation reconfiguration and motion camouflage algorithm in space weapon counteracting anti-satellite satellite. The main contents are shown as follows.The control laws which meet with satellites formation autonomous reconfiguration requirements with local stability characteristics are obtained. Virtual Beacon's Guidance is integrated to improve the existing Nonlinear Cyclic Pursuit law to deduce a method of Nonlinear Cyclic Pursuit & Beacon's Guidance in which the formation can get reconfiguration and reorientation simultaneously. On account of their contradiction, control gain is reset to coordinate the system's motion and stability in control. Analysis and simulation results prove the mission could be achieved whether Nonlinear Cyclic Pursuit & Beacon's Guidance is applied to the crew or only a single member. In addition, to verify the local asymptotical stability of the motion, special techniques are adopted.Applying the control laws to Distributed Satellite Systems reconfiguration, thus the rules of their utilization in missions by means of impulses or low-thrust system are deduced. In consider of the motion regulation in aerodynamics, the idea of planar cyclic pursuit and normal proportional derivative feedback combined control laws are proposed. Since multi-impulses and continuous low thruster are the most popular power plants, missions of formation recovery to reference center, separation adjustment, phase angle adjustment, and linear configuration maintanence are simulated. In addition, presumption of impetus'insufficiency and one breakdown of pursuit chain are set, on which the pursuit tasks could still be achieved in simulation, so that these control methods are considered of high reliability and stability in conclusion.In single Motion Camouflage aspect, the camouflage trajectories of weapons in counteracting anti-satellite satellite are studied on the assumption there is no telemeter installed on the target and the weapon's image is always in a pixel. The models of stealth trajectories are established in multi-impulse system in which parameters setting are optimized and relevant rules are deduced. Based on the formal analysis, multi-impulse system is more preferred in short period attack, an on-line suboptimal minimal approaching time consumption method is developed and progressively, the space relative motion camouflage in low continuous thrust model is developed. To meet with the boundary constraint of initial zero relative rates, a special camouflage trajectory is obtained along with the analytical expressions of accelerations in need, time consumption in minimal fuel consumption and feasible region of progress duration in thrust restriction. In addition, Pseudo-spectral method is integrated to optimize the position ratio in fuel consideration. In view of the mathematical fundamentals of Motion Camouflage, models of asteroid soft landing and hard landing, as well as model of rendezvous and docking are developed.Multi-agents'team work in Motion Camouflage can not only enhance the shooting probability, but also reduce the looming cues. In view of the team work and still on the presumption there is no telemeter installed on the target but the image change can be detected, approaching types of pack hunting, flying in formation and flying in swarm are introduced. Especially for the follower's motion in formation, resolution to the control if position information is about the target or the leader with boundary contraints are deduced. Take the advantage of motion in V-formation and in swarm, formation configuration in V-swarm is proposed, and models of configuration maintainence and looming cues reduction are developed and simulated.In summary, this paper aiming at resolving satellites reconfiguration in Cyclic Pursuit and developing camouflage trajectories for space weapons to counteract anti-satellite satellite has made a systematical research on relevant principles, models and application regulations. Matching upto the development of science and technology, control laws studied in this paper are believed to have a good prospect in future engineering application.