Design a of 3-Dimensional Nonlinear Optimal Robust Guidance Law for Homing Missiles against Maneuvering Targets using Genetic Algorithm

Abstract

Optimal sliding mode guidance (OSMG) law is proposed for tactical missiles pursuing maneuvering targets in three-dimensional space. The most important characteristic of sliding mode control (SMC) is high robustness against parameter variations or external disturbances. Using a Lyapunov function, it is demonstrated that the derived guidance law can stabilize the engagement system. Also, coefficients of controller are chosen using genetic algorithm optimally. Compared with traditional augmented proportional navigation guidance (APNG) law, the proposed guidance law not only can increase robustness against external disturbance and eliminate the effect of target maneuvers but can improve tracking performance and reduce interception time and miss distance. 3-D missile-target engagement is simulated for different target maneuvers and for some various scenarios, then results of the OSMG law are compared with conventional APNG law. Simulation Results confirmed the above mentioned pretensions. ØªØµÙÛÙ 3-اÙأبعاد غÛر اÙخطÛØ© اÙØ£ÙØ«Ù ÙاÙÙ٠اÙتÙجÛÙ ÙتÛÙ ÙÙصÙارÛØ® صارÙØ® ÙÙج٠ضد Ø£Ùدا٠اÙÙÙاÙرة باستخدا٠اÙØ®ÙارزÙÛØ© اÙجÛÙÛØ©ÙÛÙترح اÙÙاÙÙ٠اÙØ£Ùث٠اÙزÙا٠اÙتÙجÛÙ Ùضع (OSMG) ÙÙصÙارÛØ® اÙتکتÛÚ©ÛØ© اÙساعÛØ© Ø¥Ù٠تحÙÛ٠أÙدا٠اÙÙÙاÙرة ÙÛ Ø§ÙÙضاء Ø«ÙØ§Ø«Û Ø§Ùأبعاد. ÙØ£ÙÙ Ùا ÛÙÛز اÙزÙا٠ÙراÙبة اÙÙضع (SMC) ÙÙ ÙتاÙØ© عاÙÛØ© ضد اÙتغÛرات اÙÙعÙÙØ© أ٠اÙاضطرابات اÙخارجÛØ©. باستخدا٠ÙظÛÙØ© ÛابÙÙÙÙØ ÙÛتضح أ٠اÙÙاÙÙ٠اÙتÙجÛÙات اÙÙستÙدة ÛÙک٠أ٠ÛستÙر اÙÙظا٠اÙاشتباک. Ø£ÛØ¶Ø§Ø Ûت٠اختÛار ÙعاÙÙات تحک٠باستخدا٠اÙØ®ÙارزÙÛØ© اÙجÛÙÛØ© عÙ٠اÙÙح٠اÙØ£ÙØ«Ù. ÙÙارÙØ© Ùع اÙÙاÙÙ٠اÙتÙÙÛØ¯Û ØªØ¶Ø§Ù ØªÙجÛ٠اÙÙÙاحة اÙÙØ³Ø¨Û (APNG)Ø ÙÙاÙÙ٠اÙتÙجÛ٠اÙÙÙترح ÙÛس ÙÙØ· ÛÙک٠أ٠تزÛد ÙÙØ© ضد اضطراب خارجÛØ ÙاÙÙضاء عÙ٠تأثÛر اÙÙÙاÙرات اÙÙدÙØ ÙÙÚ©Ù ÛÙک٠تحسÛ٠تتبع اÙأداء ÙتÙÙÛ٠اÙÙÙت ÙاÙÙساÙØ© اعتراض تÙÙت. ÙÙ Ùحاکاة 3-D اÙÙشارکة اÙصÙارÛØ® اÙÙستÙدÙØ© ÙÙختÙ٠اÙÙÙاÙرات اÙÙد٠ÙباÙÙسبة Ùبعض سÛÙارÛÙÙات ÙختÙÙØ©Ø Ø«Ù ØªØªÙ ÙÙارÙØ© اÙÙتائج ÙÙÙاÙÙÙ OSMG Ùع اÙÙاÙÙÙ APNG اÙتÙÙÛدÛØ©. Ùأکدت Ùتائج اÙÙحاکاة اÙذرائع اÙÙØ°Ú©Ùرة أعÙاÙ. 3ç»´é线æ§æä¼é²æ£å¶å¯¼å¾ç寻ç导弹æ»å»æºå¨ç®æ çåºäºéä¼ ç®æ³DESIGN Aèµä¹å¾·é¿éæå¾·æ½è±¡æä¼æ»æ¨¡å¶å¯¼ï¼OSMGï¼æ³å¾æåºäºææ¯å¯¼å¼¹å¨ä¸ç»´ç©ºé´ä¸­è¿½æ±æºå¨ç®æ ãæ»æ¨¡æ§å¶ï¼SMCï¼çæéè¦çç¹ç¹æ¯å¯¹åæ°çååæå¤é¨æ°å¨é«é²æ£æ§ã使ç¨Lyapunovå½æ°ï¼è¯ææå¾åºçå¶å¯¼å¾è½ç¨³å®èä»»å¶ãæ­¤å¤ï¼æ§å¶å¨çç³»æ°å¾å°æä½³å©ç¨éä¼ ç®æ³éæ©ãä¸ä¼ ç»çå¢å æ¯ä¾å¯¼å¼ï¼APNGï¼æ³ç¸æ¯ï¼ä¸ä»æåºçå¶å¯¼å¾å¯ä»¥æé«æå¤çå¹²æ°çé²æ£æ§ï¼å¹¶æ¶é¤ç®æ æºå¨çå½±åï¼ä½å¯ä»¥æé«è·è¸ªæ§è½ï¼å¹¶éä½æ¦æªæ¶é´åè±é¶ã 3-D导弹ç®æ äº¤æ模æé对ä¸åçç®æ æºå¨åä¸äºä¸åçæåµä¸ï¼é£ä¹OSMGæ³çç»æä¸ä¼ ç»çAPNGæ³ç¸æ¯ã模æç»æè¯å®äºä¸è¿°èªè´ã