Research On Interception Guidance Based On Game Theory

With the rapid development of modern military technology, allowing for the increas-ingly complex air combat environment, as well as more intelligent maneuvering targets,the research of flight vehicle intercepting target problem is facing severe challenges. Howto design a new kind of guidance strategy, enables the interceptor has some robustness tothe target’s maneuvers, besides increases the probability of a flight vehicle intercepting amaneuvering target has become the key to solve this problem. In this paper, a method ofintercepting a maneuvering target is investigated as the research background. Combinedwith matrix game and dynamic game theory, we propose a novel approach for designinginterceptor’s guidance strategy based on game theory. The main contents are divided intothe following four aspects:First, establish the relative motion model of the interceptor and the target. It includestwo parts: a single flight vehicle intercepting a single target and multiple flight vehiclesintercepting a single target collaboratively. Here, it is not necessary to linearize the rela-tive motion equation of interceptor and target. Therefore, we still study on the nonlineardiferential equations of system, and finally convert them into the form of nonlinear stateequation.Second, establish the game model of terminal guidance problem. It also includesone to one intercepting and multiple flight vehicles intercepting collaboratively two cas-es. Based on matrix strategy and dynamic game theory, terminal guidance problem isconverted into a two-person competition game problem. We consider target’s evadingstrategy as a linear combination of limited maneuvers. Appropriate payof functions areselected to set up the dynamic game model.Next, we study the interceptor’s guidance laws design based on game theory. Here,the case of a single flight vehicle intercepting a single target is concerned. Taking ad-vantage of receding horizon control concepts, we strike the equilibrium solution of thisdynamic game model. As a result, the obtained guidance strategy for interceptor is a seg-menting form of switching guidance laws. By means of the two-dimensional simulation,efectiveness of this guidance law is verified.At last, we study the cooperative guidance strategy for multiple flight vehicles basedon game theory. Here, the scenario of multiple flight vehicles intercepting a target is considered. The cooperative relationship among interceptors is considered as a combina-tion of guidance laws each flight vehicle may take. The same as above, a collaborativeintercepting strategy is derived for interceptors on the basis of receding horizon controlmethod. The subsequent two-dimensional simulation describes the efectiveness of thisstrategy.