![系统建模与控制导论](https://wfqqreader-1252317822.image.myqcloud.com/cover/696/50417696/b_50417696.jpg)
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/2_01.jpg?sign=1739195338-JjLODBCswMeJ1Oq6ScwtOIy4J7wlMhpD-0-7a61ccd7b4e460f2e57e55d173bafd59)
图1-11 飞行员使用操纵杆、踏板和油门控制飞机
来源:Steve Karp[9],“How It Works Flight Controls”, October 12, 2013, https://www.youtube.com/watch?v=AiTk5r-4coc
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/2_02.jpg?sign=1739195338-vbSVRvtWxlgHGEyt5jwqCk4pPSMqUgqg-0-ccd2c9ad838801a90ef7b385d29c90d9)
图1-21 实验室磁悬浮系统
来源:Barie and Chiasson[10]“Linear and nonlinear state-space controllers for magnetic levitation”, International Journal of Systems Science, vol.27, no.11, pp.1153-1163, November 1996.DOI-https://doi.org/10.1080/00207729608929322
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/2_03.jpg?sign=1739195338-Z2gDWEMbSiCT4cVnXdCQPUls1sxcHBZI-0-277ff3940a67e3117517b0676add1028)
图6-30 直流电动机的转子(左)和转速表(右)的照片。注意,直流电动机的绕组槽是倾斜的
来源:由田纳西大学J. D. Birdwell教授提供
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/3_01.jpg?sign=1739195338-wwkUIdBWw8aR2mhRZYUF1UdcDF3EVlB0-0-464de045cd98a3b7c67e313aaa513c6d)
图9-38 使用设计模型G(s)和真值模型Gtruth(s)的俯仰角响应
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/3_02.jpg?sign=1739195338-kyPunVeI8kXxIoNimExs8EAnB52VE6PB-0-c09114d749dd68276706387bb6c731b5)
图9-39 使用设计模型G(s)和真值模型Gtruth(s)的升降舵指令角δc
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/4_01.jpg?sign=1739195338-HVMiug8gXBxOlE9HS8jibwjlGS0icBCQ-0-6bfb2012067a2bbfc9a7bb5e54c1a1a1)
图10-19 图10-18闭环极点在-5处的系统的阶跃响应
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/4_02.jpg?sign=1739195338-ZUE5XFn4FYJaeO0e0WYXrjHDMHsoWEQK-0-5127d1834006bfc0832c971271dbac7e)
图10-24 图10-23的二自由度控制系统的阶跃响应
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/5_01.jpg?sign=1739195338-QdoR4NSqugBJQee672CK50BdOZNdPtlO-0-70ff1d7bc51726f9fd27874c898752c2)
图10-36 参考输入r(t)的响应θ(t)和θp(t)
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/5_02.jpg?sign=1739195338-gx4OU8VsSflwOYzGLWUgFkmNhaTtQvUG-0-eead4a34655a752924a9cebcba7c03f3)
图11-17
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_01.jpg?sign=1739195338-tZnz4bh0VszmCnYE5QUSX5hnJz9jmNgE-0-0da782fa10828051b5d76e9e78e6c296)
图11-26
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_03.jpg?sign=1739195338-O3oY489Du1FFddNAJIlNtEZ3GPjSHwG2-0-b1e156712ed8912a1ebdcab369462f8e)
图11-27 的奈奎斯特极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_05.jpg?sign=1739195338-xCCSKrihcjqSllU4w4W1hQY8UrA3Lwne-0-1904b62dd0ee50319508932d6fd05332)
图11-28 的奈奎斯特极坐标图。当ω→0时,G(jω)(蓝色)的曲线渐近于垂直线Re{s}=-(1/10+1)
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/7_01.jpg?sign=1739195338-ISnftXhkFmaVSI9y3hmZddHPrqeyDSuc-0-61401e03ba698275a54915a16aad1d65)
图11-29 奈奎斯特曲线的例子
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/7_02.jpg?sign=1739195338-WtpRgU3VtUeXSUSnofaP3khlKFA3pti2-0-e5660ed25b93aad2bc2117b45b2a2f49)
图11-30 的奈奎斯特极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/7_04.jpg?sign=1739195338-0RtEC2ei3xzFA7XHU6imlZaEynWWZOb3-0-46564c1e4d7a1faa5549394174f5b13a)
图11-32 的奈奎斯特极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/8_01.jpg?sign=1739195338-fsjAEsLBVMiNBuGPiBFJQsR5aiGV8afr-0-49a186f72f5f4442071f97e7043e44b5)
图11-35 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/8_03.jpg?sign=1739195338-PCqlj0dTuXUwRp2onRO5xnYKW9hLLjyo-0-66ab6693a66eb2814dcea0fe8098da51)
图11-36 当K>0时1+KG(s)的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/8_04.jpg?sign=1739195338-7bxySykNRn98WbeBOn1JaVKSCShRvzl8-0-4b2d91d201d547a65ad79b88fc625625)
图11-37 当K>0时1/K+G(s)的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/9_01.jpg?sign=1739195338-G1ZZFYRCmDYkuvwqn0nFCUGu2AL68sxB-0-2eb3b95c242e0a0a0b0527b59a0651e7)
图11-38 当0<K<1或-∞<-1/K<-1时,1/K+G(s)的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/9_02.jpg?sign=1739195338-PNCdXpqpkVAxqly1cmGHVF5lpPMKQwKm-0-e6c5b491f6a058b4b9ef8884ff41b2a9)
图11-39 当K>1或-1<-1/K<0时,1/K+G(s)的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/9_03.jpg?sign=1739195338-DQe18rHolgxuepDEzjs0nDdp9wzT48Z1-0-d6ae41c2f5b258c907c1b0c9bbb929ea)
图11-40 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_01.jpg?sign=1739195338-6HN5bTvc7Y9svD6qVLSE0PYcME745lgp-0-7645e54dcd2f4904e7932f069320eda0)
图11-42 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_03.jpg?sign=1739195338-u5Cqz3LFE4u9SFL5FzGu6DDNgJ2mwJFN-0-fdc27d23400864b5c58cf26de279c0f5)
图11-43 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_05.jpg?sign=1739195338-xBGgjdxN8qFDZvNpWb38MqNLH6mEuEAN-0-7d67a96769e46e7c837687c5af468fe2)
图11-45 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_01.jpg?sign=1739195338-x5c0Yisu4UWdjv9CxuuNef3OjREg8UGd-0-bd23a1f5519258aa8a6309865b8a93af)
图11-46 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_03.jpg?sign=1739195338-0p7IZU7rTaDX1FHtK5wc33lMM1vywdiV-0-04571f2821faaa2d7a1bd8a28f6b9d6d)
图11-49 ,G(j1.55)=-1/2.4,|G(j 1)|=1
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_05.jpg?sign=1739195338-5nmpBioBTeyvOgiWLSx9n9K6Sjjbz0nx-0-63b02e5acc358d01ca2651c29f059d14)
图11-51 的奈奎斯特图,
,G(j0.68)=1e-j159°
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_01.jpg?sign=1739195338-bOFZjM9FbnLDAjDh81qx4BwWF0XxqLQf-0-4fdd740a3ccc9039f61b26bcac79c3aa)
图11-53 ,G(j3.35)=-9,G(j12.6)=1e-j140°
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_03.jpg?sign=1739195338-u1OXW7YsLDFvEyfweVtaqq8TqoihCMYW-0-a2f6bc7da783ea5d99a75f001951d1c5)
图11-56 从-1+j0到Gc(jω)G(jω)的复向量为1+Gc(jω)G(jω)
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_04.jpg?sign=1739195338-PM1nKKn9IpH0GXf3rbeokhL2yJifewfX-0-6fd1550eed9e86cf2584af3b7281ed03)
图11-68 的奈奎斯特环绕线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_06.jpg?sign=1739195338-r3JoZMTl2U2xsm1JV1223YVDZZn6Yy4D-0-710ea0546c12aea0ced1a0e7aa42ebfd)
图11-69 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/13_01.jpg?sign=1739195338-FWudXQl9aKAJYK3H5TcYAaBLpF8UUFru-0-fb403b511451ac83b57a38e0e10df0f0)
图11-71 的奈奎斯特等值线图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/13_03.jpg?sign=1739195338-7qXIxGLtmTMNJmbzwBuieHiV1crxC4Qa-0-502f3e653279190fb21efc780b6deb7e)
图11-72 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_01.jpg?sign=1739195338-ZIeeB6IOob91wiTNqMS5Nm2PvMVkxTEG-0-69b7758e163f74d688e3d58517533305)
图11-74
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_02.jpg?sign=1739195338-YtLJcDkQNGp09cjCc2bbVd1dfiikYrul-0-bdf5edbff63ae057f1db5d659eed5ca8)
图11-82 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_03.jpg?sign=1739195338-8HKrUuHf0nrj4pINhF3sCVg0Nam02Q1X-0-b9e0cff44012a0b0eb3d57b2d28cbeba)
图11-83 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/15_01.jpg?sign=1739195338-fJ2zBi2VCK8LedA4WNztw9oDhEjqqnTy-0-b5179f6339c89618a406c7fc8787a240)
图11-97 Gc(s)G(s)的奈奎斯特环绕线和奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/15_02.jpg?sign=1739195338-PgXA4IU33QfmQfxcGrs7YN4nGronWjGC-0-35dd4c9584ee58eddef2b519c30ce782)
图11-98 Gc(s)G(s)的奈奎斯特环绕线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/16_01.jpg?sign=1739195338-ZRw3iJdDAk5KGFsFJSS1V5UkBoQCcsPM-0-082b6c1291208c7b248a99b99a1526be)
图11-99 Gc(s)G(s)的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/16_02.jpg?sign=1739195338-4YbC5bQoX4iDREOVzN3hYRhoXNmHDxdu-0-5379c1f6d1a793f58d175847124e4ac9)
图11-101 Gc(s)G(s)的奈奎斯特环绕线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/17_01.jpg?sign=1739195338-KETK4LFFNKeAmqt8CsfyQL4k593HRq7F-0-b1a9f5a2a28efa694269e7fb6e894db7)
图11-102 Gc(s)G(s)的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/17_02.jpg?sign=1739195338-zHmLz1evf85vZTvBP0WJPWBAaFaEwCKT-0-e2a96f270d060f29e01fcade1c68f277)
图12-8 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/18_01.jpg?sign=1739195338-svUaGJAs0utyG72KLHF5UTyiIhMBOe2i-0-f17c9f681a8035d125bc0ab59e6fac80)
图12-11 带三条渐近线的根轨迹图,渐近线交于点-2
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/18_02.jpg?sign=1739195338-bNrzNqW5RMVSyICsQadCL2XZfIZGJgSv-0-22d10cb03ef9af1a9f6e68d103c1f9ad)
图12-22 开环复共轭极点对的分离角
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/19_01.jpg?sign=1739195338-zmF4zBTnUTepvRZ90Qk2VuXlKc0IRamg-0-7d728af1f62d65c176963a963d3ad435)
图12-32 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/19_03.jpg?sign=1739195338-FLQpIOa9uMpwpiBOIvVOSzLwTqTxCOGY-0-dc5284565528958183266701815a2322)
图12-33 开环极点对根轨迹的影响
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/20_01.jpg?sign=1739195338-VV7u98PldyI8YyU6Wd2XPuxc8RCciSf4-0-06ea6ad6c80e8b280731da9ebc024941)
图12-34 开环零点对根轨迹的影响
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/20_02.jpg?sign=1739195338-66ZDM9YkREH8PshimBYrqzGW08w3ANSC-0-1f2ac216d7b084f74734fa4d040cba5a)
图12-35 分离点对根轨迹的影响
来源:改编自Kuo[2]。Automatic Control Systems, Prentice-Hall, Englewood Cliffs, NJ, 1987
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/21_01.jpg?sign=1739195338-bhjgqpG8ELOmlNy07vz8Ocf8zFNpjDJe-0-c585f79904186c3b6c41887563b7f24f)
图12-38 KcGlead(s)Gnotch(s)Gp(s)的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/21_02.jpg?sign=1739195338-iXed7n9Glo31Gr6lLIZNWNe8QWIl53iC-0-28cb8ea1a3ed2f66346eee543fdaf508)
图12-39 时KcGlead(s)Gnotch(s)Gp(s)放大的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/22_01.jpg?sign=1739195338-TIUoaJr4t00ToGPrXaHtBVoMizlc3urS-0-fb28c0e673cb5af652a2d1fe99f00431)
图12-40 时KcGlead(s)Gnotch(s)Gp(s)的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/22_03.jpg?sign=1739195338-ucZ1H6XOtS4vZge7rWXwtuT9PKGYeYSl-0-1949da721ffffe7360f6d2cbf68b5fe8)
图12-41 响应θp(t)和θ(t)以及参考输入r(t)的仿真
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/23_01.jpg?sign=1739195338-6waTPWNlqCUOiy6a2QXqM6enjuFlykvm-0-7827a666ed86298ea46a5db767eb00f7)
图17-2
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/23_02.jpg?sign=1739195338-h5liEWwnzra11sWzftmar7GynubLxS3O-0-27f08cfddba465739b45d14c66abc85c)
图17-3 Gc(jω)GX(jω)的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/24_01.jpg?sign=1739195338-3cSTYIWSqJIhsGS335u8RHHqb45LmTiq-0-1ffe3d23a15d3a5b35b87828fb3a816d)
图17-7 用于携带摆杆的Quanser小车特写[34]。小前齿轮由直流电动机驱动,推动小车沿轨道前后移动
来源:Quanser-教育和研究的实时控制实验,www.quanser.com
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/24_02.jpg?sign=1739195338-V9O8AGH8IBpU2nfNksUtLVDXRCawoiSN-0-19ccad256bd18b717dcf675e3e7bd92c)
图17-14
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/25_01.jpg?sign=1739195338-wPEYMrvlyEDEnHMQVAtbVPjo2m7KNfg8-0-6cd35e858195db36c763796168250633)
图17-17 的奈奎斯特等高线和图