Study On Optimization And Design Approach For Mutiple Flight Vehicles Cooperative Interception Based On Area Coverage

With the development of military technology,the penetration ability of high speed and maneuvering targets represented by hypersonic flight vehicle in near space has improved continuously.The existing early warning system cannot detect and track such targets accurately,which makes it difficult to intercept and defend this kind of target.Under the condition of inaccurate detection,the interception ability of a single flight vehicle has been unable to meet the demands of military tasks,thus cooperative interception using multiple flight vehicles has gradually become a trend of defense technology in the future.When using multiple flight vehicles to intercept a target,a cooperative interception optimization and design is needed firstly,that is,determining the number of flight vehicles and the interception task of each flight vehicle according to the mission requirements.Most of the existing researches on the cooperative interception optimization and design of multiple flight vehicles is carried out under the condition of the precise target movement information,and the maneuverability of the flight vehicle is not fully considered.Thus,the existing results cannot be applied to the interception of hypersonic target under inaccurate detection.In view of this,considering the detection error of the early warning system,target maneuver and the maneuverability of a flight vehicle,cooperative interception of multiple flight vehicles is taken as the research project in this dissertation.The key problems are summarized and some in-depth researches are carried out on the following aspects.Firstly,aiming at the interception problem under target maneuverability and inaccurate detection,taking the maneuverability constraint of a flight vehicle into consideration,the mathematical description and property of interception area are presented.Considering the target maneuver and movement information error,the mathematical description of the predicted interception area is presented and a performance function for the coverage of predictive interception area is constructed,then the interception is described as area coverage problem.Under the condition of insufficient maneuverability,two cooperative interception approaches are proposed,namely simultaneous cooperative interception and non-simultaneous interception.Based on area coverage.Aiming at the non-simultaneous cooperative interception,a performance index function considering the coordination of flight vehicles in time is constructed,and the description of non-simultaneous cooperative interception is established based on spatial-temporal coverage.Secondly,for a class of area coverage optimization problems,a distance-based area segmentation method is presented and the index function for area coverage is decomposed based on area segmentation.Then,an area coverage optimization algorithm is proposed based on area segmentation and approximation,and the convergence of the algorithm is proved.Aiming at the problem of simultaneous cooperative interception for multiple flight vehicles,taking the demand of successful handover probability into account,a simultaneous cooperative interception optimization and design approach based on area coverage is proposed and the number of flight vehicles and their spatial distribution at the handover moment are optimized.Besides,the cooperative guidance law is designed based on area coverage.Thirdly,for a class of spatial-temporal coverage optimization problems,a gradient approximation method based on Mote Carlo sampling and finite difference quotient is presented.A spatial-temporal coverage optimization algorithm is proposed based on finite difference quotient and approximation,and the convergence of the algorithm is proved.Aiming at the problem of non-simultaneous cooperative interception for multiple flight vehicles,the time interval is optimized based on the spatial-temporal coverage optimization algorithm and the admissible error of time interval is analyzed.Considering the demand of successful handover probability and the error of time interval,a non-simultaneous cooperative interception optimization and design approach based on spatial-temporal coverage is proposed and the number and time interval of flight vehicles are optimized.Finally,aiming at the interception of near-space hypersonic target,the prediction error of target acceleration and detection error of the target movement information are analyzed,and the constraint conditions for cooperative interception optimization and design are presented.Based on the simultaneous cooperative interception optimization and design approach,the number of flight vehicles and their spatial distribution at the handover moment are optimized for the simultaneous cooperative interception of hypersonic target.Based on the non-simultaneous cooperative interception optimization and design approach,the number of flight vehicles and interception time interval are optimized for the non-simultaneous cooperative interception of hypersonic target.Simulation experiments are carried out to verify the effectiveness of cooperative interception design approach and by the comparison of simulation results,the advantages and disadvantages of the two cooperative interception approaches are compared and analyzed.