Optimal Trajectory Correction in Midcourse Guidance Phase Considering the Zeroing Effort Interception

doi:10.3969/j.issn.1000-1093.2018.08.008

Abstract

Abstract: An optimal midcourse trajectory correction algorithm considering the zeroing effort interception is designed for the defensive combat in near space. The zeroing effort interception condition is derived by analyzing the relative motion of interceptor and target in the terminal guidance phase, which is uniquely determined by the velocity ratio of target and interceptor and the respective angles among their velocity vectors and the line-of-sight. In terms of the cases where the nominal trajectory fails to satisfy the zeroing effort condition due to the updated target information, a scheme of optimal trajectory correction in the midcourse guidance phase is proposed to modify the interceptor states to re-satisfy the zeroing effort interception condition at the handover moment in the midcourse and terminal guidance phases. The compensation commands of control are derived by further differentiating the first order optimal conditions and transversality conditions that are satisfied by the nominal trajectory. The deviations of interceptor initial states and terminal constraints are considered in the resolving of compensation commands. The simulated results testify the effectiveness and the superiority of the proposed method.Key

Key words: interceptor, midcourseguidance, zeroingeffortinterception, trajectorycorrection, handoverinthemidcourseandterminalguidancephase, optimization

CLC Number:

TJ765.4⁺3

ZHOU Jin， LEI Hu-min. Optimal Trajectory Correction in Midcourse Guidance Phase Considering the Zeroing Effort Interception[J]. Acta Armamentarii, 2018, 39(8): 1515-1525.

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第39卷
第8期2018 年8月兵工学报ACTA
ARMAMENTARIIVol.39No.8Aug.2018

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