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Capturability of 3D RTPN guidance law against true-arbitrarily maneuvering target with maneuverability limitation

Chinese Journal of Aeronautics 2022年第7期35卷 75-90页

作者： Kebo LI Zhihui BAI Hyo-Sang SHIN Antonios TSOURDOS Min-Jea TAHK Department of Applied Mechanics College of Aerospace Science and EngineeringNational University of Defense TechnologyChangsha 410073China Institute of Aerospace Sciences SATMCranfield UniversityCranfield MK430ALUK Department of Aerospace Engineering Korea Advanced Institute of Science and TechnologyDaejeon 34141Republic of Korea

The capturability of the Three-Dimensional(3D)Realistic True Proportional Navigation(RTPN)guidance law is thoroughly *** true-arbitrarily maneuvering target is considered,which maneuvers along an arbitrary direction in 3D space with an arbitrary but upperbounded *** whole nonlinear relative kinematics between the interceptor and target is taken into ***,the upper-bound of commanded acceleration of 3D RTPN is deduced,using a novel Lyapunov-like ***,the reasonable selection range of navigation gain of3D RTPN is analyzed,when the maneuver limitation of interceptor is *** that,a more realistic definition of capture is adopted,i.e.,the relative range is smaller than an acceptable miss-distance while the approaching speed is larger than a required impact *** previous researches which present Two-Dimensional(2D)capture regions,the inequality analysis technique is utilized to obtain the 3D capture region,where the three coordinates are the closing speed,transversal relative speed,and relative *** obtained capture region could be taken as a sufficient-but-unnecessary condition of *** new theoretical findings are all given in explicit expressions and are more general than previous results.

关键词： capture region Lyapunov-like approach Maneuverability Limitation Realistic true proportional navigation True-arbitrarily maneuvering target

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New Result on Interception of Stationary Targets at Arbitrary Time-Varying Speed

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Guidance, Navigation and Control 2022年第4期2卷 18-40页

作者： Yuanhe Liu Kebo Li Yangang Liang Jin Tang College of Aerospace Science and Engineering National University of Defense Technology Changsha 410072 P.R.China

This paper develops a novel approach and some main results on the varying-speed missile guided by pure proportional navigation(PPN)against a stationary target in the planar interception *** missile kinematic equation is established in the arc-length domain based on the differential geometry theory,which eliminates the influence of time-varying missile ***,the closed-form solutions of line-of-sight(LOS)rate,leading angle,closing speed,and curvature command are derived in the arc-length *** performance of the varyingspeed missile is analyzed,including the maximum relative distance,maximum curvature command,accurate path-to-go,and curvature ***,the capture region is obtained considering the missile maneuvering acceleration *** new theoretical results could be extended to improve the performance of existing guidance laws designed under the constant-speed assumption.

关键词： Differential geometry curve theory time-varying speed pure proportional navigation capture region

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