| With the development of technology, the combat environment will be more com-plicated in the future. On the one hand, the invading target may take some interferencemeasures to avoid the interception, on the other hand, there may be other interference sig-nals in the combat environment, such as the electromagnetic signal in the atmosphere andthe atmospheric refraction. In the complicated detection environment, the seeker of theinterceptor will receive more than one measurement, which means that the seeker detectsmore than one target. Under the existence of multiple targets, the convention guidancestrategy is that the interceptor will not be controlled untill the real target is identified andthis strategy may miss the real target under the limited maneuverability and field of viewof the interceptor. The study focuses on the terminal interception engagement in compli-cated environment, and mainly works on multi-targets problem caused by the complicateddetection environment. The main contributions are as follows.Firstly, relative kinematics equations between the interceptor and target is estab-lished and based on the single target relative kinematics equations, relative motion modelbetween the multiple targets and the interceptor is established. Then the guidance involv-ing multiple targets is described and the guidance course is analyzed.Secondly, the Level of Interest of a target is defined, and an approach to calculatethe Level of Interest of a target based on the measured relative motion information is pro-vided. Then the simulation is carried out to verify the efectiveness of provided approach.Thirdly, when some targets reach the boundary of the reachable set of the interceptor,an target selecting approach considering both the Level of Interest of the target and theenergy cost is provided. It is firstly pointed out that the energy cost is used to modifythe non-zero initial conditions and to resist the target maneuver, and then the finite timeperformance criteria for the linear time varying system is provided, including the finitetime norm of signal, the H∞performance criteria and the solution to the H∞performancecriteria. Next the performance index of energy cost for intercepting a non-maneuveringis provided and based on the finite time norm of a time varying system, the performanceindex of energy cost for intercepting a maneuvering target with non-zero initial conditionsis constructed. Then, the necessary conditions that the targets are kept reachable areprovided and the energy cost for guidance involving multiple targets is given based on the one-on-one guidance energy cost. At last, the target selecting criterion function isconstructed and simulation examples are provided to verify the efectiveness of the targetselecting approach.Finally, considering the relative motion model between the multiple targets and theinterceptor is uncontrollable, Single Input Multiple Output, and the input has saturationconstraint, the guidance command is designed based on the predictive control approach.The main idea of the predictive control approach, the mathematical description of pre-dictive control and the calculation method of the optimal control command are provided.The guidance direction is determined by heading onto a virtual target in the targets region.The virtual targets selecting approach, the relative motion between the virtual target andthe interceptor and the virtual targets selecting criterion are provided. Then the evaluationoutput of the relative motion model is determined. At last, simulation experiments arecarried out to verify the feasibility and efectiveness of the guidance method. |
