Minimum-Time Interception with an Un-powered Flight Vehicle

• Main Authors: Winying Chang, 張文贏
• Other Authors: Donglong Sheu
• Format: Others
• Language: zh-TW
• Published: 2000
• Online Access: http://ndltd.ncl.edu.tw/handle/33173513568891145700

碩士 === 國立成功大學 === 航空太空工程學系 === 88 === In general, the boosting time of a solid-fuel rocket is very short. Therefore, it may be considered as an unpowered glider for the most part of its flight time. In this paper, the optimal control theory is applied to analyze the optimal flight trajectory of minimum-time horizontal interception for a pursurer gliding without power. Since the adjoint variable of the azimuth angle can be integrated analytically, the numerical difficulties raised by simultaneously integrating the state equations and the adjoint equations can be circumvented. It is not necessary to use the gradient method to solve the problem. Instead, it needs only to estimate some parameters to satisfy the boundary conditions and the transversality conditions. In order to further illustrate the theory, a numerical example is provided in this paper. Results show that the theory derived in the paper is quite feasible.