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Control variable parameterization-based computational method for optimal control of initiative anti-interception penetration
Received date: 2014-06-23
Revised date: 2014-07-29
Online published: 2015-01-07
To solve the problem caused by experiencing increases in defense capability of enemy antiaircraft system, the concept of initiative anti-interception penetration (IAIP) is proposed, to make up for the defects of the traditional penetration that only takes escape into account, while ignoring attack mission. According to the connotation of IAIP guidance, and considering the maneuver performance of target, terminal intercepting characteristics of interceptor missile and control system performance of attack missile, the three-body motion model, named attacker-target-interceptor, has been established, and the design of penetration guided command has been equivalent to solving nonlinear optimal control problem, where the penetration command is the solution of optimal control for minimizing fuel consumption, overload of attacker, miss distance of interceptor, attack angle, hit precision and angle of sight after penetration of attacker, are control constraint, path constraint and terminal constraint. After the optimal control problem is transformed into nonlinear integer programming model based on control variable parameterization (CVP) method and the continuous path constraint is simulated by scatter point, sequential quadratic program (SQP) algorithm is used to get the numerical solution of guidance commands under the condition of penetration occasion is given. An hydride genetic algorithm based on CVP (CVP-GA), is proposed to obtain the optimal penetration occasion and guided command. Simulation results show that hit accuracy of attacker used the optimal control of IAIP can still meet the mission requirements after successful penetration its fuel consumption is reduced by 23.7% compared with the traditional tandem penetration method, demonstrating the efficiency and superiority of the proposed method.
WANG Fang , LIN Tao , ZHANG Ke . Control variable parameterization-based computational method for optimal control of initiative anti-interception penetration[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(6) : 2037 -2046 . DOI: 10.7527/S1000-6893.2014.0359
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