求图所示各系统的单位序列响应和阶跃响应。[img=281x126]17aec8565a6f3ff.png[/img]
设迟 延单元的输人为 [tex=1.929x1.357]gI5jqnzsQ3bsTBwNuy/8YA==[/tex], 则相应的输出为 [tex=3.643x1.357]HRQ95fpGi2TOzvDSRNO1cQ==[/tex] 。甴左端加法器输出可得即[tex=19.571x2.357]ioTPJXercNFrUknhQop180MJ80jrXQbDnId+QHBvEv7zMP0Vh7whvZPqmTwmYsEuX2/UtkdnAd6ZmQzxRshLQFoRX5EPf/iAnwJWIjv6cio=[/tex]由右端加法器输出可得 [tex=8.429x1.357]sjsauI7G4h3zKizOs0eRXooc9bcxEjLpfwwic8f4RF0=[/tex]由上式可得[tex=17.714x2.786]bYB57SyovYaObL3WQs2uTd3CJHyx/KqEtGOuPlqWsCCyCAAd73AjgcIG1zWVVDDl1nZ5EULQN88PYYNN2rdNFe7gV8g/yNpA4DeCE3XdTnM=[/tex]将以上两式相加得[tex=25.929x2.786]IFOMl1xi8KrovkG7udHsfUHxLeXuv3DclSnhn5OciwGzS0k/A9JZzapN4gj7LPDu/konwnuwp/cVc24nlIbXOdkIPCNL5rOn4tbGiJ9m3Nm36qYSgd0FdfBm6w77un5bYcBVMkvVrp/J3MtSS9LLWQ==[/tex]则有 [tex=14.143x2.357]51oN3ANRu2IlL0TqgalXhifx3LhXpEap6WQfV9EIIxBfPYmgPm2PoMEKrFqxXmqY[/tex]令方程右端只有 [tex=1.786x1.357]2kSW/Hnc2aW5BJQnbhgdQg==[/tex]作用,此时系统的响应为 [tex=2.286x1.357]5D/kASBiBpZocrZJ7Dzo4g==[/tex], 它满足方程[tex=10.143x2.357]ocla54fmOecGXLR3W9p5axHjCS5rS2OY/PESQQxFwzP2KwMyc8/m9ATHu+C6SzQn[/tex]及初始条件[tex=4.286x1.357]Uve9NhpJ2pHWSrDwQT4CoQ==[/tex]。则有[tex=10.857x2.357]O6AYJPP7+TQboKV7ARzjS5OwkBC5UPRKbmK1DMT1jk4DFHpncERuV/Z2STty9VuB6SmqZqcPVcoPfgeYswxKJA==[/tex]方程的解为 [tex=8.786x3.0]ODolrggXgrNC9TfRdChNHtRKhhoJvgVOk1tr6v4inEKuvW3Zan4xM5NZ9MUdINklb77CfhL5LRpfdQs+ymnuXA==[/tex]将初值代人,得 [tex=5.357x1.357]UbIjceRhhT90pzHNhIdWP7/dhElK2rCCqNzQHh2G7yQ=[/tex]则有 [tex=8.714x3.0]WS6eiUdzZ94hS+8Cxy7Ul1h2roKuHozqh0qeNMO+dzAODsOVXcvMxubymkl9ogFzwg/semSYKI/l3nVkMAl02Q==[/tex]系统的单位序列响应为[tex=27.5x3.0]s3fPLwxIzXDsyj5sjVQ7ipD9YHY4wv6o+8xaP5sbwkQULNH9os3f2w3qwhL9bLQGTzImJohnVZF9ig2130Iuj3ump/xMz7FiPk9a+k5x1TgKQDrenjwu2a9h53QJeajB4gzhvtCx+KTiKIB1mALjf0mPD1/CFpFBycjv3Fj0Zji36hrUoYXSMo92j9uksQnGSRAGy5W0SyjlpMfQWvBo0g==[/tex]系统的阶跃响应为[tex=18.643x7.357]qeiYnKXLEhyhuGRg8yLtr23yhjN0uKBh8akXu+x2FVFKQd8kGqQax2gXTTc0qtC/ClQxE+CTa0gGSYFJVKJDAuEwOX3HSfh7Nb5gTGW29w7SZPpSVxXjra1szFp/bp/gHSuS7YPOkj7PoTvoWtBT+6Wr9nq+uk1YjAUE+eMv68jhF/MfBbAqZHCIj+QR0EqxWz/QiUtMoVyHKwFPko4RRu5DatuYeg/GE6aTbgYIkoBTKBYlSCh9PtTIJJE1SpP+wECexkqlZPEbW+R/dEpaWXZMZsi3PDxW2Uii6+r9sxj648SMm90KfUhA4a4Bnv+DLBHXnoivmkI4idv2/9V8q9vLfSJGgQCK2yQp4j2ufd2UfCdYJR4wOcZG36prDcOA[/tex]
举一反三
- 试求图7-15所示系统的单位函数响应和单位阶跃序列响应。[br][/br][img=471x219]17a3d9cc20edc3f.png[/img]
- 求图7-21所示系统的单位函数响应与单位阶跃序列响应。[img=325x165]17d6450dc8008ba.png[/img]
- 求题3．14图所示各系统的单位序列响应和阶跃响应。题3．14图
- 求图所示各系统的单位序列响应。[img=240x122]17aec68fbbcfa4d.png[/img]
- 求图[tex=1.286x1.286]+3R6zaTAs82WGgFzLz6KQw==[/tex]所示各系统的阶跃响应。[img=220x117]17aec80177c0284.png[/img]
内容
- 0
求图[tex=1.143x1.286]VwSo6Wt3iprR6JMvid6rGw==[/tex]所示各系统的阶跃响应。[img=232x105]17aec8212a20870.png[/img]
- 1
求图[tex=1.786x1.286]ZhVlcXq80nIHBcECJWLKkQ==[/tex]所示各系统的阶跃响应。[img=261x146]17aec839a617c6a.png[/img]
- 2
图 [tex=1.786x1.143]tNu2GVPEE4x2OuE7TNTOVw==[/tex]所示系统,求单位序列响应[tex=1.929x1.357]VGgLiz9Zcw5gWynTFsa8Tg==[/tex];[img=324x108]17b01c7b15fa9a2.png[/img]
- 3
一系统的框图如图[tex=2.5x1.286]8FqpIWgejyA1K+M08JrX5A==[/tex]所示，试求该系统的单位取样响应[tex=1.857x1.286]WQOYJimkWLPqh3ayghahYA==[/tex]和单位阶跃响应[img=536x227]17d36ae58e32339.png[/img]
- 4
求题3．10图所示各系统的单位序列响应。题3．10图