| With the rapid development of modern missile technology,air combat environment become more and more complex.The emergence of more intelligent maneuvering targets making the flight vehicle intercepting target problem is facing a serious challenge.In order to improve the probability of intercepting maneuvering target,it is necessary to design a new guidance law.A new approach based on game theory is proposed to design interceptor’s guidance strategy.Matrix game and dynamic game method are utilized.Firstly,the relative motion model of the interceptor and the target are established.It includes two parts.The motion equations of the missile and target are deduced according to the relative motion model.The form of nonlinear state equations are converted.Thus,it is similar to the actual situation at the end of the missile flight.Secondly,the game model of terminal guidance problem are presented.It also includes two parts.Terminal guidance problem is converted into a two-person competition game problem based on matrix strategy and dynamic game theory.A linear combination of limited maneuvers is considered for target’s evading strategy.Appropriate payoff functions are selected to set up the dynamic game model.Thirdly,the guidance law of one-on-one interception problem based on game theory is designed.The Nash equilibrium solution of the dynamic game model are obtained by using the model prediction algorithm and the hybrid particle swarm algorithm.A segmenting form of switching guidance laws are derived.The effectiveness of the guidance law is verified by two-dimensional simulation.Finally,the cooperative guidance law of multiple flight-on-one interception problem based on game theory is designed.The Nash equilibrium solution of the dynamic game model are obtained by using the model prediction algorithm.A collaborative intercepting strategies are derived.The effectiveness of the guidance law is also verified by two-dimensional simulation. |
