×Ô¶¯¿ØÖÆÔ­ÀíMATLAB·ÂÕæʵÑ鱨¸æ²ÄÁÏ ÏÂÔر¾ÎÄ

ʵÓñê×¼Îĵµ

ÎÄ°¸´óÈ«×Ô¶¯¿ØÖÆÔ­ÀíʵÑ鱨¸æ

Ôº µç×ÓÐÅÏ¢ÓëµçÆø¹¤³ÌѧԺ

ѧ

ʵÓñê×¼Îĵµ

ʵÑéÒ» MATLAB¼°·ÂÕæʵÑ飨¿ØÖÆϵͳµÄʱÓò·ÖÎö£©

Ò»¡¢ÊµÑéÄ¿µÄ

ѧϰÀûÓÃMATLAB½øÐпØÖÆϵͳʱÓò·ÖÎö£¬°üÀ¨µäÐÍÏìÓ¦¡¢ÅжÏϵͳÎȶ¨ÐԺͷÖÎöϵͳµÄ¶¯Ì¬ÌØÐÔ£» ¶þ¡¢Ô¤Ï°Òªµã

1¡¢ ϵͳµÄµäÐÍÏìÓ¦ÓÐÄÄЩ£¿ 2¡¢ ÈçºÎÅжÏϵͳÎȶ¨ÐÔ£¿

3¡¢ ϵͳµÄ¶¯Ì¬ÐÔÄÜÖ¸±êÓÐÄÄЩ£¿ Èý¡¢ÊµÑé·½·¨

£¨Ò»£© ËÄÖÖµäÐÍÏìÓ¦

1¡¢ ½×Ô¾ÏìÓ¦£º

½×Ô¾ÏìÓ¦³£Óøñʽ£º

1¡¢step(sys)£»ÆäÖÐsys¿ÉÒÔΪÁ¬Ðøϵͳ£¬Ò²¿ÉΪÀëɢϵͳ¡£ 2¡¢step(sys,Tn)£»±íʾʱ¼ä·¶Î§0---Tn¡£ 3¡¢step(sys,T)£»±íʾʱ¼ä·¶Î§ÏòÁ¿TÖ¸¶¨¡£

4¡¢Y?step(sys,T)£»¿ÉÏêϸÁ˽âij¶Îʱ¼äµÄÊäÈë¡¢Êä³öÇé¿ö¡£

2¡¢ Âö³åÏìÓ¦£º

?Âö³åº¯ÊýÔÚÊýѧÉϵľ«È·¶¨Ò壺?f(x)dx?1

0f(x)?0,t?0ÆäÀ­Êϱ任Ϊ£º

f(s)?1Y(s)?G(s)f(s)?G(s)

ËùÒÔÂö³åÏìÓ¦¼´Îª´«º¯µÄ·´À­Êϱ任¡£

Âö³åÏìÓ¦º¯Êý³£Óøñʽ£º ¢Ù impulse(sys)£» ¢Ú

impulse(sys,Tn);

impulse(sys,T); ¢Û Y?impulse(sys,T)

£¨¶þ£© ·ÖÎöϵͳÎȶ¨ÐÔ ÓÐÒÔÏÂÈýÖÖ·½·¨£º

1¡¢ ÀûÓÃpzmap»æÖÆÁ¬ÐøϵͳµÄÁ㼫µãͼ£» 2¡¢ ÀûÓÃtf2zpÇó³öϵͳÁ㼫µã£»

3¡¢ ÀûÓÃrootsÇó·Öĸ¶àÏîʽµÄ¸ùÀ´È·¶¨ÏµÍ³µÄ¼«µã £¨Èý£© ϵͳµÄ¶¯Ì¬ÌØÐÔ·ÖÎö

MatlabÌṩÁËÇóÈ¡Á¬ÐøϵͳµÄµ¥Î»½×Ô¾ÏìÓ¦º¯Êýstep¡¢µ¥Î»Âö³åÏìÓ¦º¯Êýimpulse¡¢ÁãÊäÈëÏìÓ¦º¯ÊýinitialÒÔ¼°ÈÎÒâÊäÈëϵķÂÕ溯Êýlsim.

ÎÄ°¸´óÈ«

ʵÓñê×¼Îĵµ

ËÄ¡¢ÊµÑéÄÚÈÝ (Ò») Îȶ¨ÐÔ

1£® ϵͳ´«º¯ÎªG?s??3s4?2s3?5s2?4s?6s?3s?4s?2s?7s?25432£¬ÊÔÅжÏÆäÎȶ¨ÐÔ

s2?2s?22£® ÓÃMatlabÇó³öG(s)?4µÄ¼«µã¡£

s?7s3?3s2?5s?2%Matlab¼ÆËã³ÌÐò

num=[3 2 5 4 6];den=[1 3 4 2 7 2];G=tf(num,den);pzmap(G);p=roots(den)

ÔËÐнá¹û£º p =

-1.7680 + 1.2673i -1.7680 - 1.2673i 0.4176 + 1.1130i 0.4176 - 1.1130i -0.2991

Pole-Zero Map1.510.5Imaginary Axis0-0.5-1-1.5-2-1.5-1Real Axis-0.500.5

ͼ1-1 Á㼫µã·Ö²¼Í¼

ÓɼÆËã½á¹û¿ÉÖª£¬¸ÃϵͳµÄ2¸ö¼«µã¾ßÓÐÕýʵ²¿£¬¹Êϵͳ²»Îȶ¨¡£

ÎÄ°¸´óÈ«