濡備綍鍦ㄦā鍨嬫湭鐭ユ檪瀵︾従(xi脿n)灏嶆鍣ㄤ汉鐨勬帶鍒堕€欎竴鍟忛鐨勭爺绌跺皪姗熷櫒浜虹悊璜栫殑鐧�(f膩)灞曞拰姗熷櫒浜烘帶鍒剁悊璜栧湪瀵﹁笎涓殑鎳�(y墨ng)鐢ㄩ兘鍏锋湁閲嶈鐨勬剰缇�銆傛湰鏂囨彁鍑轰竴绋熀浜庣缍�(j墨ng)缍�(w菐ng)绲�(lu貌)姗熷櫒浜烘ā鍨嬭鲸璀樼殑杩唬瀛�(xu茅)缈�(x铆)鏅鸿兘鎺у埗鏂规硶銆備豢鐪熻〃鏄庤┎鏂规硶鍏锋湁婊挎剰鐨勬晥鏋溿€� 1 鍓嶈█ 浣滅偤鍦ㄧ従(xi脿n)浠ｆ帶鍒剁悊璜栭紟鐩涙檪鏈熷晱涓栫殑姗熷櫒浜�锛屽叾鎺у埗鎶€琛�(sh霉)鐨勬垚闀疯垏鐝�(xi脿n)浠ｆ帶鍒剁悊璜栫殑鐧�(f膩)灞曟湁钁楀瘑鍒囩殑闂�(gu膩n)绯�銆傚湪姗熷櫒浜烘妧琛�(sh霉)涓夊崄澶氬勾鐨勬垚闀烽亷绋嬩腑鐝�(xi脿n)浠ｆ帶鍒剁悊璜栨墍鎻愪緵鐨勫咕涔庢墍鏈夌殑瑷�(sh猫)瑷堟柟娉曢兘鍦ㄦ鍣ㄤ汉涓婂仛閬庢噳(y墨ng)鐢ㄧ殑鍢楄│锛岄€欎簺鎺у埗鏂规硶鍦ㄥ缓绔嬫鍣ㄤ汉鐨勬暩(sh霉)瀛�(xu茅)妯″瀷鏅傞渶瑕佸仛鍚堢悊鐨勮繎浼艰檿鐞�锛屽拷鐣ヤ竴浜涗笉纰哄畾鎬у洜绱�銆傜劧鑰岋紝姗熷櫒浜哄嫊鍔涘(xu茅)鍏锋湁楂樺害闈炵窔鎬�銆佸挤鑰﹀悎绛夌壒榛烇紝鍏朵笉纰哄畾鐨勫洜绱犲瑙€瀛樺湪锛岄€欎簺涓嶇⒑瀹氱殑鏈缓妯￠儴鍒嗗嫊鎱�(t脿i)鍦板奖闊块€欎簺鐞嗚珫绲�(ji茅)鏋滃湪瀵﹂殯涓殑鎳�(y墨ng)鐢ㄣ€傚浣曞湪妯″瀷鏈煡鏅傚鐝�(xi脿n)灏嶆鍣ㄤ汉鐨勬帶鍒堕€欎竴鍟忛鐨勭爺绌跺皪姗熷櫒浜虹悊璜栫殑鐧�(f膩)灞曞拰姗熷櫒浜烘帶鍒剁悊璜栧湪瀵﹁笎涓殑鎳�(y墨ng)鐢ㄩ兘鍏锋湁閲嶈鐨勬剰缇�銆� 浜哄伐绁炵稉(j墨ng)鍏冪恫(w菐ng)绲�(lu貌)锛圓rtifical Neural Network锛夋槸鍦ㄧ従(xi脿n)浠ｇ缍�(j墨ng)瀛�(xu茅)銆佺敓鐗╁(xu茅)銆佸績鐞嗗(xu茅)绛夌瀛�(xu茅)闋�(l菒ng)鍩熸垚鏋滅殑鍩虹(ch菙)涓婄敘(ch菐n)鐢熺殑锛屽弽鏄犱簡鐢熺墿绁炵稉(j墨ng)绯荤当(t菕ng)鐨勫熀鏈壒寰�锛屾槸灏嶇敓鐗╃缍�(j墨ng)绯荤当(t菕ng)鐨勬煇绋娊璞°€佺啊鍖栬垏妯℃摤锛屾槸鐞嗚珫鍖栫殑浜鸿叇绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勬暩(sh霉)瀛�(xu茅)妯″瀷锛屽叾鑳藉閫艰繎浠绘剰闈炵窔鎬ф槧灏勭殑鐗规€�锛岀偤瑙ｆ焙姗熷櫒浜烘帶鍒跺晱椤屾彁渚涗簡鏂扮殑鎵嬫銆� 鏈枃鎻愬嚭涓€绋熀浜庣缍�(j墨ng)缍�(w菐ng)绲�(lu貌)姗熷櫒浜烘ā鍨嬭鲸璀樼殑杩唬瀛�(xu茅)缈�(x铆)鎺у埗鏂规硶銆傞€欑ó鏂规硶鐢ㄧ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨姗熷櫒浜虹郴绲�(t菕ng)鐨勬鍚戞垨閫嗗悜妯″瀷锛屽苟娑堥櫎绯荤当(t菕ng)涓嶇⒑瀹氭€у拰澶栭儴骞叉摼鐨勫奖闊�銆備豢鐪熻〃鏄庨€欑ó鏂规硶鏁堟灉鑹ソ銆� 2 鍩轰簬绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)妯″瀷杈ㄨ瓨鐨勬鍣ㄤ汉杩唬瀛�(xu茅)缈�(x铆)鎺у埗 杩唬瀛�(xu茅)缈�(x铆)鎺у埗鏂规硶鍦ㄨВ姹虹敱浜庡皪璞″瓨鍦ㄩ潪绶氭€ф垨寤烘ā涓嶈壇閫犳垚鐨勪笉纰哄畾鎬у晱椤屾柟闈㈠叿鏈夊緱澶╃崹鍘氱殑鍎�(y艒u)瓒婃€с€傚畠妯′豢浜洪鐨勫(xu茅)缈�(x铆)鍔熻兘锛屽湪瀛�(xu茅)缈�(x铆)閬庣▼涓笉鏂峰綄瑁滅己涔忕殑鍏堥鐭ヨ瓨锛岄€茶€岃兘浣跨郴绲�(t菕ng)鐨勬帶鍒舵€ц兘寰楀埌涓嶆柗鏀瑰杽銆� 閲囩敤绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨姗熷櫒浜虹殑閫嗗悜妯″瀷锛屼娇姗熷櫒浜虹殑闂�(gu膩n)绡€(ji茅)閬嬪嫊娌胯凯浠ｈ桓鏂瑰悜閫艰繎鏈熸湜杌岃贰锛涜凯浠ｅ(xu茅)缈�(x铆)鎺у埗鍣ㄥ湪绶氬(xu茅)缈�(x铆)鎺у埗鍙冮噺锛屼娇闂�(gu膩n)绡€(ji茅)閬嬪嫊娌挎檪闁撹桓鏂瑰悜璺熻工鏈熸湜杌岃贰銆傚湪姣忎竴娆＄殑杩唬瀛�(xu茅)缈�(x铆)閬庣▼涓�锛屼娇绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶村埌灏嶆ā鍨嬬殑杈ㄨ瓨閬斿埌姣旇純濂界殑閫艰繎绮惧害鍚庯紝鍒╃敤绁炵稉(j墨ng)鍏冪恫(w菐ng)绲�(lu貌)鐨勮几鍑烘(g貌u)閫犱笅涓€娆¤凯浠ｅ(xu茅)缈�(x铆)閬庣▼涓墠楗嬮儴鍒嗙殑鎺у埗寰�锛屽啀灏囧叾鑸囧鏅傚弽楗嬫帶鍒剁祼(ji茅)鍚堬紝褰㈡垚榄杩唬瀛�(xu茅)缈�(x铆)鎺у埗绠楁硶銆� 2.1 鍙嶉鎺у埗鍣ㄧ殑瑷�(sh猫)瑷� 鐢ㄧ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮鲸璀樻ā鍨嬭繎浼间唬鏇挎鍣ㄤ汉绯荤当(t菕ng)鐨勫闅涙ā鍨嬫檪锛岀缍�(j墨ng)缍�(w菐ng)绲�(lu貌)蹇呴爤閫茶涓€娆℃垨澶氭鍦ㄧ窔瑷�(x霉n)绶寸洿鑷虫敹鏂傜媭鎱�(t脿i)锛岄€欏奖闊夸簡鎺у埗鐨勫鏅傛€�銆傛澶�锛屽(xu茅)缈�(x铆)鎺у埗涓嶄竴瀹氳兘淇濊瓑姣忔瀛�(xu茅)缈�(x铆)鏅傞兘鑳借鍎熻窡韫よ宸�,鍌崇当(t菕ng)鐨勫弽楗嬫帶鍒舵湁鍔╀簬鍏嬫湇姝ら鍟忛,鎵€浠ョ偤浜嗘彁楂樼郴绲�(t菕ng)鐨勬姉骞叉摼鎬ц兘鍜屽垵濮嬮妫掓€�,鍦ㄦ帶鍒剁郴绲�(t菕ng)涓彲浠ュ紩鍏ュ弽楗嬫帶鍒�銆� 寮曞叆鍙嶉鎺у埗澧炲挤浜嗙郴绲�(t菕ng)鐨勬姉骞叉摼鎬ц兘锛屾彁楂樹簡绯荤当(t菕ng)鐨勯妫掓€�锛屽緸鑰屼繚璀夋瘡娆″(xu茅)缈�(x铆)鏅傞兘鑳借窡韫よ鍎熻宸€� 2.2 绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄨō(sh猫)瑷� 姗熷櫒浜洪潪绶氭€ц嚜鍥炴婊戝嫊骞冲潎妯″瀷锛�NARMAX妯″瀷锛夌殑涓€鑸舰寮忕偤 y锛坱锛�=f锛坹锛坱-1锛�,y锛坱-2锛�,鈥�,y锛坱-n锛�;u锛坱-1锛�,u锛坱-2锛�,鈥�,u锛坱-m锛夛級 鍏朵腑锛�u锛坱锛�鍜�y锛坱锛�鍒嗗垾鏄郴绲�(t菕ng)鐨勮几鍏ュ拰杓稿嚭鍚戦噺锛�m鍜�n鐐鸿几鍏ュ拰杓稿嚭鐨勬渶澶ф檪寤�銆�f鐐烘湭鐭ョ殑杓稿叆杓稿嚭闈炵窔鎬у嚱鏁�(sh霉)銆傚皣涓婂紡绨¤鐐�y锛坱锛�=f锛圛锛坱-1锛夛級锛屽叾涓�锛�I锛坱-1锛�=[y锛坱-1锛塠SUP]T[/SUP],鈥�,Y锛坱-n锛�,鈥�,u锛坱-1锛塠SUP]T[/SUP],鈥�,u锛坱-m锛塠SUP]T[/SUP]]鈭圧[SUP]nq+mp[/SUP] 鍓囦笁灞ょ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)绲�(ji茅)妲�(g貌u)鐨�BP绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨妯″瀷鍙互琛ㄧず鐐� 鍏朵腑锛�W浠ｈ〃缍�(w菐ng)绲�(lu貌)鐨勬瑠(qu谩n)鍊硷紝N浠ｈ〃绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杓稿叆杓稿嚭鏄犲皠鍑芥暩(sh霉)锛岀缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮几鍏ョ偤I锛坱锛夆垐R[SUP]nq+mp[/SUP]锛�缍�(w菐ng)绲�(lu貌)鐨勮几鍑虹偤锛屽畠鐢�N[SUB]0[/SUB]鍊嬭几鍑虹缍�(j墨ng)鍏冩(g貌u)鎴�锛屽彲浠ョ⒑瀹氳┎绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杓稿嚭灞ょ缍�(j墨ng)鍏冪殑鍊嬫暩(sh霉)鐐�N[SUB]0[/SUB]=q銆� 灏嶄簬纰哄畾鐨勭缍�(j墨ng)缍�(w菐ng)绲�(lu貌)绲�(ji茅)妲�(g貌u)锛屽皪鍏堕€茶瑷�(x霉n)绶村拰瀛�(xu茅)缈�(x铆)锛屾壘鍒版豢瓒宠姹傜殑娆�(qu谩n)鍊煎弮鏁�(sh霉)锛屼娇绲﹀畾鐨勭洰妯欏嚱鏁�(sh霉)鏈€鍎�(y艒u)銆傞€氬父锛屾壘鍒版渶鍎�(y艒u)娆�(qu谩n)鍊兼瘮杓冨洶闆�锛屽彧鑳芥壘鍒扮湡瀵﹀嚱鏁�(sh霉)鐨勪竴鍊嬭繎浼笺€傜偤姝�锛岀郸瀹氫竴鍊嬮€艰繎绮惧害蔚锛�0锛屽彧瑕佹壘鍒版瑠(qu谩n)鍊�W锛�浣垮緱缍�(w菐ng)绲�(lu貌)杓稿嚭鑸囨湡鏈涜几鍑虹殑瑾ゅ樊灏忎簬蔚锛屼究瑾嶇偤缍�(w菐ng)绲�(lu貌)妯″瀷y锛坱+1锛�=N锛圛锛坱锛�,W锛婏級鏄皪鏈煡鍑芥暩(sh霉)鐨勪竴鍊嬮€艰繎銆傚亣瑷�(sh猫)绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮鲸璀樿宸槸 鐣舵绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)缍�(j墨ng)閬庤〒(x霉n)绶村悗锛岀嵅寰楁渶鍎�(y艒u)娆�(qu谩n)鍊硷紙W锛婏級鏅傛豢瓒� 鈥�f锛圛锛坱锛夛級-N锛圛锛坱锛�,W锛�锛�鈥�=鈥�e[SUB]n[/SUB]锛坱+1锛�鈥栤墹蔚,锛�D鐐篟[SUP]nq+mp[/SUP]涓�鐨勪竴鍊嬮泦鍚�銆� 鑷虫锛屾垜鍊戝緱鍒颁簡閫艰繎姗熷櫒浜虹郴绲�(t菕ng)鐨勭缍�(j墨ng)缍�(w菐ng)绲�(lu貌)妯″瀷锛屽皣绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮〒(x霉n)绶磋垏瀛�(xu茅)缈�(x铆)鎺у埗绲�(ji茅)鍚堣捣渚�锛屽湪绗杩唬瀛�(xu茅)缈�(x铆)鐨勯亷绋嬩腑锛屼娇绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)瀛�(xu茅)缈�(x铆)涓€瀹氱殑娆℃暩(sh霉)浠ラ€艰繎姗熷櫒浜虹郴绲�(t菕ng)妯″瀷銆傞€氬父浠ヨ宸簴鍓� 渚嗕綔鐐虹恫(w菐ng)绲�(lu貌)妯″瀷閫艰繎姗熷櫒浜虹郴绲�(t菕ng)鐨勬婧栥€俫锛埪凤級鏄痚锛坱锛夌殑鍑芥暩(sh霉)锛宔鏄畾缇╁湪[0,r]涓婄殑瑾ゅ樊鍑芥暩(sh霉)锛屾槸缍�(w菐ng)绲�(lu貌)妯″瀷鑸囧闅涚郴绲�(t菕ng)鐨勫亸宸�锛屾槸缍�(w菐ng)绲�(lu貌)妯″瀷鍙冩暩(sh霉)锛堥€氬父琛ㄧ従(xi脿n)鐐烘瑠(qu谩n)鍊硷級鐨勯潪绶氭€у嚱鏁�(sh霉)锛屼簬鏄紝杈ㄨ瓨鍟忛姝哥祼(ji茅)鐐洪潪绶氭€у劒(y艒u)鍖栧晱椤�銆傜缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鍏锋湁铏曠悊闈炵窔鎬у劒(y艒u)鍖栧晱椤岀殑鑳藉姏锛屼笖鑳藉苟琛岃檿鐞嗕俊鎭�锛岄€熷害杓冨揩锛屽洜姝�锛屽湪绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨涓噰鐢ㄩ€欑ó瑾ゅ樊婧栧墖銆� 閲囩敤BP绠楁硶淇暣绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勬瑠(qu谩n)鍊煎拰闁惧€�锛屼娇瑾ゅ樊鎬ц兘鍑芥暩(sh霉) 鏈€灏�锛屽叾涓璳浠ｈ〃杩唬瀛�(xu茅)缈�(x铆)鐨勬鏁�(sh霉)锛�鍜�浠ｈ〃瀵﹂殯杓稿嚭鍜岀恫(w菐ng)绲�(lu貌)妯″瀷鐨勮几鍑�锛孴鐐虹缍�(j墨ng)缍�(w菐ng)绲�(lu貌)閲囨ǎ鏅傞枔銆傞噰鐢ㄦ搴︿笅闄嶆硶閬炴帹鍜屼慨姝ｆ瑠(qu谩n)鍊� 鍏朵腑尾鐐哄(xu茅)缈�(x铆)鍥犲瓙,涔熷氨鏄寜姊害娉曟悳绱㈢殑姝ラ暦锛岀暥鍏跺彇鍊煎ぇ鏅�锛屽(xu茅)缈�(x铆)閫熷害灏卞揩锛屼絾瀹规槗寮曡捣娆�(qu谩n)鍊奸渿钑╃敋鑷崇櫦(f膩)鏁�锛屽叾鍙栧€煎皬鏅傦紝缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶寸殑鏅傞枔闀�锛屽(xu茅)缈�(x铆)閫熷害杓冩參銆偽辩偤鍕曢噺鍥犲瓙锛屽畠鐨勫ぇ灏忔焙瀹氶亷鍘绘瑠(qu谩n)鍊艰畩鍖栧皪鐩墠鍊肩殑褰遍熆绋嬪害锛屽叾浣滅敤鐐鸿鎲朵笂娆￠€ｆ帴娆�(qu谩n)鍊肩殑璁婂寲鏂瑰悜锛屾姂鍒剁郴绲�(t菕ng)鍙兘鐢�(ch菐n)鐢熺殑鎸暕锛岃捣骞虫粦鐨勪綔鐢�銆傞伕鎿囬仼鐣�?sh霉)鑶伩鎭宠渻?锛屽彲浠ラ檷浣庡弽鍌崇畻娉曞皪瑾ゅ樊琛ㄩ潰鐨勯潏鏁忓害锛屼娇缍�(w菐ng)绲�(lu貌)閬垮厤闄峰叆灞€閮ㄦ渶灏忛粸锛屼竴鑸伕鍦�0.9宸﹀彸銆偽崇偤缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶存鏁�(sh霉)銆� 鍦ㄧk娆￠噸寰�(f霉)瑭﹂鐨勯亷绋嬩腑锛屾瑠(qu谩n)鍊�闅ㄎ崇殑澧炲姞鏈濇渶鍎�(y艒u)鏂瑰悜淇暣锛屼娇寰楄鲸璀樻ā鍨嬭宸€愭几娓涘皯锛岀暥閬斿埌绲﹀畾鐨勯€艰繎绮惧害鏅備究鍙互绲�(ji茅)鏉熻〒(x霉n)绶达紝寰楀埌鏈€鍎�(y艒u)娆�(qu谩n)鍊�锛屽埄鐢�瑷堢畻寰楀埌缍�(w菐ng)绲�(lu貌)鐨勮几鍑�锛岀敤姝よ几鍑烘(g貌u)閫犵k+1娆¤凯浠ｅ(xu茅)缈�(x铆)鐨勫墠楗嬩綔鐢�锛岃垏瀵︽檪鍙嶉浣滅敤鍏卞悓鐢�(ch菐n)鐢熸帶鍒惰几鍏� 2.3姗熷櫒浜烘帶鍒舵柟妗堣ō(sh猫)瑷� 瀹屾垚绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄤ互鍙婂弽楗嬫帶鍒跺櫒鐨勮ō(sh猫)瑷堝悗锛屽紩鍏ヨ凯浠ｅ(xu茅)缈�(x铆)鎺у埗鍣�锛屽畬鎴愭暣鍊嬫帶鍒舵柟妗堢殑瑷�(sh猫)瑷�銆傛暣鍊嬬郴绲�(t菕ng)鎺у埗妗嗗湒濡傚湒1銆� [align=center] 鍦�1 鎺у埗绯荤当(t菕ng)绲�(ji茅)妲�(g貌u)妗嗗湒[/align] 杩唬瀛�(xu茅)缈�(x铆)鎺у埗鍣ㄩ噰鐢ㄧ啊鍠殑P鍨嬬祼(ji茅)妲�(g貌u)锛寀[SUB]fb[/SUB]銆乽[SUB]ff [/SUB]鍒嗗垾鏄敱鍙嶉鎺у埗鍣ㄥ拰瀛�(xu茅)缈�(x铆)鎺у埗鍣ㄧ⒑瀹氱殑鎺у埗寰嬶紝绗琸娆¤凯浠ｅ(xu茅)缈�(x铆)閬庣▼涓�锛屾鍣ㄤ汉鐨勮凯浠ｅ(xu茅)缈�(x铆)鎺у埗寰嬬偤鍏朵腑 鐐哄弽楗嬫帶鍒堕爡锛宬[SUB]p[/SUB]鍜宬[SUB]d[/SUB]鐐烘瀹氱殑浣嶇疆鍜岄€熷害澧炵泭鐭� 闄�锛�鏄郴绲�(t菕ng)鐨勬湡鏈涜粚璺★紝鏄k娆¤凯浠ｅ(xu茅)缈�(x铆)閬庣▼ 绯荤当(t菕ng)鐨勫闅涜几鍑�銆�鐐哄(xu茅)缈�(x铆)鎺у埗闋咃紝k[SUB]ILC[/SUB]鐐哄(xu茅)缈�(x铆)澧炵泭鐭� 闄�锛�鐐虹k娆¤凯浠ｅ(xu茅)缈�(x铆)閬庣▼绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮几鍑恒€� 鍓嶉潰鎵€鐢ㄧ殑瀛�(xu茅)缈�(x铆)寰嬩笉鑳藉埄鐢ㄥ叾瀹冩帶鍒舵柟娉曞緱鍒扮殑鍏堥鐭ヨ瓨锛屽皪浜庢柊鐨勬湡鏈涜粚璺″繀闋堥噸鏂伴枊濮嬪(xu茅)缈�(x铆)锛岄€欑ó瀛�(xu茅)缈�(x铆)姗熷埗涓嶇鍚堜汉椤炵殑瀛�(xu茅)缈�(x铆)琛岀偤锛岄€欐槸杩唬瀛�(xu茅)缈�(x铆)鎺у埗闆ｄ互鎺ㄥ唬鐨勯噸瑕佸師鍥狅紝鏈夐棞(gu膩n)鏂囩嵒閲濆皪浜庢寮曞叆浜嗛伜蹇樺洜瀛�銆傞伜蹇樺洜瀛愮殑寮曞叆鎶戝埗浜嗚凯浠ｉ枊濮嬫檪璺熻工瑾ゅ樊鐨勫ぇ骞呭害鎿哄嫊锛屽皪瑕佹眰璺熻工鐨勬柊鐨勬湡鏈涜粚璺″厛鍒╃敤绯荤当(t菕ng)鐨勬鍙叉帶鍒剁稉(j墨ng)椹楋紝鐢ㄧ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)浼拌▓绯荤当(t菕ng)鐨勬湡鏈涜几鍏�锛屼綔鐐鸿凯浠ｅ(xu茅)缈�(x铆)鎺у埗绠楁硶鐨勫垵濮嬫帶鍒惰几鍏�锛屽啀鐢辫凯浠ｅ(xu茅)缈�(x铆)寰嬮€愭鏀瑰杽鎺у埗杓稿叆锛屼娇寰楀彧闇€灏戞暩(sh霉)鐨勮凯浠ｆ鏁�(sh霉)灏辫兘閬斿埌璺熻工绮惧害鐨勮姹�锛屽ぇ澶ф彁楂樹簡绯荤当(t菕ng)鐨勫(xu茅)缈�(x铆)閫熷害锛屼娇鎵€鐮旂┒鐨勬帶鍒舵柟娉曟洿鍏锋湁瀵︾敤鍍瑰€笺€傜偤浜嗗鐝�(xi脿n)灏嶆湡鏈涜粚璺[SUB]d[/SUB]锛坱锛夌殑婕歌繎璺熻工锛岄噰鐢ㄦ敼閫茬殑瀛�(xu茅)缈�(x铆)寰嬶細 寮忎腑纬鐐洪伜蹇樺洜瀛�0鈮の斥墹1锛宔[SUB]k[/SUB]锛坱锛夌偤璺熻工瑾ゅ樊锛宔[SUB]k[/SUB]锛坱锛�=y[SUB]d[/SUB]锛坱锛�-y[SUB]k[/SUB]锛坱锛� R锛坱锛夌偤鏈夌晫瀛�(xu茅)缈�(x铆)澧炵泭鐭╅櫍锛孯锛坱锛夆垐R[SUP]mxr[/SUP] 鍒濆淇闋呂硊0锛坱锛夊彲浠ラ伩鍏嶈凯浠ｈ粚璺＄殑澶у箙搴︽摵鍕�锛屽緸鑰屽彲浠ュ姞蹇凯浠ｆ敹鏂傞€熷害銆� 3 姗熷櫒浜烘帶鍒朵豢鐪� 閫氶亷浠跨湡鍒嗘瀽姗熷櫒浜虹郴绲�(t菕ng)鎺у埗鏂规鏁堟灉骞惰垏甯歌(gu墨)姗熷櫒浜篜ID鎺у埗閫� 琛屽皪姣�銆傜敱浠跨湡绲�(ji茅)鏋滃彲浠ョ湅鍑猴紝鍩轰簬绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勮凯浠ｅ(xu茅)缈�(x铆)鎺у埗鏀舵杺閫熷害蹇�銆佽窡韫ょ簿搴﹂珮锛岃秴瑾�(di脿o)灏�锛屽叿鏈夎壇濂界殑榄鎬у拰鎺у埗鎬ц兘銆� [align=center] 鍦�2 鍩轰簬绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)妯″瀷杈ㄨ瓨鐨勮凯浠ｅ(xu茅)缈�(x铆)鎺у埗闊挎噳(y墨ng)鏇茬窔 鍦�3 甯歌(gu墨)PID鎺у埗闊挎噳(y墨ng)鏇茬窔[/align] 杩唬瀛�(xu茅)缈�(x铆)鎺у埗闊挎噳(y墨ng)鏇茬窔銆佸父瑕�(gu墨)PID 闊挎噳(y墨ng)鏇茬窔鍒嗗垾濡傚湒2銆佸湒3鎵€绀�銆備豢鐪熸洸绶氱副杌稿柈浣嶇偤寮у害,姗桓鍠綅鐐虹銆� [align=center] 鍦�4 鏈夊共鎿捐几鍏ョ劇绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄤ綔鐢ㄩ熆鎳�(y墨ng)鏇茬窔 鍦�5 鏈夊共鎿捐几鍏ユ湁绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄤ綔鐢ㄩ熆鎳�(y墨ng)鏇茬窔 鍦�6 杩唬瀛�(xu茅)缈�(x铆)鎺у埗璺熻工瑾ゅ樊杓稿嚭鏇茬窔[/align] 绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄧ郸鍑轰簡姗熷櫒浜鸿純鐐虹簿纰虹殑妯″瀷骞舵秷闄ょ郴绲�(t菕ng)涓嶇⒑瀹氭€у拰澶栭儴骞叉摼鐨勫奖闊跨缍�(j墨ng)缍�(w菐ng)绲�(lu貌)杈ㄨ瓨鍣ㄤ綔鐢ㄩ熆鎳�(y墨ng)鏇茬窔濡傚湒4銆佸湒5銆佸湒6鎵€绀恒€� 4 绲�(ji茅)瑾� 鍏堥€茬殑寤烘ā鑸囨帶鍒舵妧琛�(sh霉)鎳�(y墨ng)鐢ㄥ埌浠ユ鍣ㄤ汉鐐轰唬琛ㄧ殑闈炵窔鎬�銆佹檪璁�銆佸挤鑰﹀悎灏嶈薄涓幓宸茬稉(j墨ng)鎴愮偤鏅鸿兘鎺у埗鏂规硶鐮旂┒鐨勭啽榛�銆傞毃钁楁櫤鑳芥帶鍒舵柟妗堢殑鎴愮啛鐧�(f膩)灞�锛屽繀灏囧姞蹇鍣ㄤ汉鐨勬噳(y墨ng)鐢ㄩ€熷害銆傜暥鐒�锛屽悇绋櫤鑳芥帶鍒舵柟妗堝湪姗熷櫒浜轰腑鐨勫闅涙噳(y墨ng)鐢ㄩ倓闇€瑕佸緢闀风殑璺璧�銆�