ÐźÅÓëϵͳʵÑé½Ì³Ì£¨Ö»Óд𰸣©

·¢²¼Ê±¼ä : ÐÇÆÚ¶þ ÎÄÕÂÐźÅÓëϵͳʵÑé½Ì³Ì£¨Ö»Óд𰸣©¸üÐÂÍê±Ï¿ªÊ¼ÔĶÁ

zeta = 0.8£¬wn = 15ʱµÄƵÂÊÏìÓ¦ÇúÏßͼ

´ð£º

Q4-9 µ÷ÖÆÓë½âµ÷·ÂÕæʵÑé¡£Éèµ÷ÖÆÐźÅΪµ¥ÆµÕýÏÒÐźÅx(t) = sin(t)£¬Æä½ÇƵÂÊΪ1 rad/s£¬

Ôز¨Îªc(t) = cos(10t)£¬ÔØƵΪ10rad/s¡£

Çë°´ÏÂÃæµÄͼQ4-9½¨Á¢·ÂÕæÄ£ÐÍͼ£º

ͼÖй²ÓÐÈý¸öÐźÅÔ´£¬ÆäÖУº

Sin WaveΪµ÷ÖÆÐźÅÔ´¼´µ÷ÖÆÐźţ¬¿ÉÉ趨ÆäƵÂÊΪ1 rad/s £»

Sin Wave1ΪÔز¨Ðźţ¬¿ÉÉ趨ÆäƵÂÊΪ30rad/s£¬Band-Limited White NoiseΪ´øÏÞ°×ÔëÉù¸ÉÈÅÐźţ¬ÆäƵÂÊ¿ÉÈÏΪԶ´óÓÚ1 rad/s£»

ProductºÍProduct1·Ö±ðΪµ÷ÖÆÆ÷ºÍ½âµ÷Æ÷£¬Íê³ÉÐźŵij˷¨ÔËËã¡£

ͼQ4-9 Ðźŵĵ÷ÖÆÓë½âµ÷·ÂÕæÄ£ÐÍͼ

µÚÒ»¸ö³Ë·¨Æ÷Ö®ºóµÄTransfer FunÊÇÒ»¸ö´øͨÂ˲¨Æ÷£¬ÊýѧģÐͿɸø¶¨Îª£º

H(j?)?2??n(j?) 22(j?)?2??n(j?)??n¿ÉÒÔÓÃQ4-7µÄRLC´®Áªµç·¹¹³ÉµÄϵͳ3ʵÏÖ¡£

¸ù¾Ýµ÷ÖÆÐźźÍÔز¨µÄƵÂÊ£¬ÒÔ¼°ÊµÑé½á¹û£¬ÄãÈÏΪͼQ4-9ÖеĴøͨÂ˲¨Æ÷µÄ²ÎÊý ? ºÍ

n

? Ó¦¸ÃÑ¡ÔñΪ£º

wn = ? =

µÚ¶þ¸ö³Ë·¨Æ÷Ö®ºóµÄTransfer FunÊÇÒ»¸öµÍͨÂ˲¨Æ÷£¬É趨Æäϵͳº¯ÊýΪ£º

2?n H(j?)?22(j?)?2??n(j?)??n¿ÉÒÔÓÃQ4-7µÄRLC´®Áªµç·¹¹³ÉµÄϵͳ1ʵÏÖ¡£

¸ù¾Ýµ÷ÖÆÐźźÍÔز¨µÄƵÂÊ£¬ÒÔ¼°ÊµÑé½á¹û£¬ÄãÈÏΪͼQ4-9ÖеĵÍͨÂ˲¨Æ÷µÄ²ÎÊý ? ºÍ

n

? Ó¦¸ÃÑ¡ÔñΪ£º

wn = ? =

ËÄ¡¢ÊµÑ鱨¸æÒªÇó

1¡¢°´ÒªÇóÍêÕûÊéдÄãËù±àдµÄÈ«²¿MATLAB³ÌÐò

2¡¢Ïêϸ¼Ç¼ʵÑé¹ý³ÌÖеÄÓйØÐźŲ¨ÐÎͼ£¨´æÓÚ×Ô´øµÄUÅÌÖУ©£¬Í¼ÐÎÒªÓÐÃ÷È·µÄ±êÌ⡣ȫ²¿µÄMATLABͼÐÎÓ¦¸ÃÓôòÓ¡»ú´òÓ¡£¬È»ºóÌùÔÚ±¾ÊµÑ鱨¸æÖеÄÏàӦλÖ㬽ûÖ¹¸´Ó¡

ÁªÏµºÏͬ·¶ÎÄ¿Í·þ£ºxxxxx#qq.com(#Ì滻Ϊ@)