![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=1739291481-mCZWEJQdfTaPxyKsgK74ripthNV98BO6-0-8ba88561b8503026c9b185d99cdde9ed)
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=1739291481-cfyCcICatkuoZD92PylqGHEKxiPZTlaM-0-895bd3717173b2ae89ae3bf92470f76c)
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=1739291481-AS47XAc3pDolxp9ngmtbkXR1aZoCrfFZ-0-084ea80ec15d3e93b549de5678ad0797)
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=1739291481-JdePAYI2OlI5JmklaeBeZHapfkhekfz1-0-e3b343ac3b7a955fbc9d381d242b5160)
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=1739291481-G6bggFOoqTWUKgzU1ifJ9yeWcAil4SaX-0-d3d690c71523ec6503f7ddd8857f2a2f)
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=1739291481-FaHdKjZn0kZ4s7O3kmLMnpGsdJtMzJC6-0-1ebcd552f04ba2e4dcf5137bf6713d3a)
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=1739291481-y7CJdz2SyiZ5ELvmgbFyT3qUAOQNKNgv-0-cf04adb362c5a8b11f9c90451612b4d8)
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=1739291481-awyourxqS51zpIo9JpBVg8x8WN7ro9vm-0-a6a902a9d88817eaa5e0f1985c4f4216)
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=1739291481-1yKCHbPZBsmY4YwQCZ8bMsvGKUr5pPpq-0-d94644d23593dae72aa04bf3e9dc274d)
图11-17
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_01.jpg?sign=1739291481-O1dUELQb0T3wlTaLezgNKIuA0JgaSXIE-0-36ab08013fd36fbba8f75aa3affcce4d)
图11-26
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_03.jpg?sign=1739291481-OSRGTwq3nE1MaArsQx8ICupEp03xe9Ya-0-c20bbc7eca2624c0d66718ec90ff5eef)
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=1739291481-vI8rVA12J1T34gjjpuT8yfZClCyqpbbZ-0-48ad9bad6bdb98b94d0a4c6437a05a29)
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=1739291481-gHXDo6L5ckBITOxj3R20OBtE8EOo8snR-0-1e8a180f329f928467c09afc0b43f5cb)
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=1739291481-ufncO8Fy0UiUwHI9w9dsdgQ8a4dkFqUC-0-d027a42dfe56b8e218f23cc9e8de1da9)
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=1739291481-oHk8uoV9ISY42U2HOgwH7HWJES4ZXQa7-0-1d57c31eee68ee25e76f031fe09b38df)
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=1739291481-hSKxvXVWUq2nHOzczrZFnXDZBfZd8rVM-0-399137aafd15efa69acb413dfab92b66)
图11-35 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/8_03.jpg?sign=1739291481-OUBpuo8I75AtWzU58IFmHvOhGkRdhlMC-0-9902780155e98652b0f53870a62c8556)
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=1739291481-AOwof7yrAp14qub4ZhnhfZOCNCqcjLCY-0-18750be2fc2335a22bad4302f6f3f6bd)
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=1739291481-afL3WaMUYMmmylQ6nVaH8RUGhzv2bTXB-0-ce855a8d365affd114edb3539ca86025)
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=1739291481-M4kzx3DODAAx90DJIPCUC9LR6uTFdbD8-0-d962649c08780ac6794c09864a44d694)
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=1739291481-jYrQu2IoepmjAz0jRSXZMqMBnL5db9kJ-0-18701bfcd0a6e0d88ae0d4c438d88e20)
图11-40 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_01.jpg?sign=1739291481-CxvSv99IVe8kEsz9B3hDm2WJgy3dlMzl-0-10f14eabeaea8e025a298973d0c9f491)
图11-42 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_03.jpg?sign=1739291481-IpmEweSeVVLOYcgQST0Daecs17YwyUZo-0-57b41878f25c592d813fd69e0fd6beb5)
图11-43 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_05.jpg?sign=1739291481-A40iesRHsvaVcCEPhq4OZxlmXrb9Chrz-0-c23217e897f563bcfc4ddd08a8130d6e)
图11-45 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_01.jpg?sign=1739291481-7W2nmSjLNJSJEsdre5jSATHxUmzbOJqG-0-c65926b02f80333cc49ffcd731aad226)
图11-46 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_03.jpg?sign=1739291481-MJNwiBudmV9f644A2dqJfV7OXK0upEKE-0-1ad29705a713a565c5f358a497022e87)
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=1739291481-gGRVcfCDk93ehGNewUT6CroteHfmbcSJ-0-c9a2ce2464ceb7854f8497275aae2074)
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=1739291481-Yue84HBvsf7TAlb4ca1jSmcLOGrIrKoa-0-448abc208eddba0247de8503c6191548)
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=1739291481-MYlZgx2mxFb0nvvjOHLXyiNKuU2QsgAy-0-6a1f67af69d1ea2b951119d8fa6069e1)
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=1739291481-xsMGqPANW8Ov5DpgBdbW8PpqqEyzeAAO-0-3cb8648cb798e8e9bf3b1787897a7e7b)
图11-68 的奈奎斯特环绕线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_06.jpg?sign=1739291481-eJAchFXUqdYTPhcHVBtlet5Y26LvV4Rn-0-17ca861d9022ea0df37be56176941e82)
图11-69 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/13_01.jpg?sign=1739291481-Qnownu4vKBvEsUk33ryjIjENHAayw2HR-0-f234d8ee66b308b2e3a6baafbd814b3d)
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=1739291481-C4j1uIMQgOtAErWzuGZZxDqeRNVyP0SD-0-f5a671241f05a06cb4e436f8e2a8fa44)
图11-72 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_01.jpg?sign=1739291481-6TTVYBMCtYe7loPeo5P4hHVMJBvUWRE6-0-2996fb6e4c44586a7345a3a788dccfa4)
图11-74
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_02.jpg?sign=1739291481-Cd8epdAPJD8AypBqgZIlVxiFEEEWAvUU-0-3f84f338ac52d1771c96547e8fa32252)
图11-82 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_03.jpg?sign=1739291481-5mijjM7LjyfO5JlTXxMpEkRKntel9HMy-0-f6171566e8d3a865ac571011fd9acae9)
图11-83 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/15_01.jpg?sign=1739291481-f7UKnVrmXHnfv5ZeB4thcwI7X1eTfWdk-0-06c9e69e06260f72c6428f64ee1c64eb)
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=1739291481-NFeiVyBC6pcE9V9OexBtki0RLn1dPOpX-0-3744ac5eab1657986dfc6788932785bc)
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=1739291481-yzfgprCwOVeAybMgnGkCcBIxYovMKMQF-0-818f5f80ff4adc02ded723d58ac59874)
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=1739291481-5Zr27G4CDhTC49xN7AeO2mDR7Rk2tPs4-0-af4aa3b50a4d57881a6e5fd508890ede)
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=1739291481-vL7LAflGfBCEsngbhDzg7svz6Jwm2bvU-0-1a19a090f70ff020a36154e79dca5118)
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=1739291481-x0WoBnzwiGrstUq5uoaCd2cnS02WFqCV-0-7e85e8a43479f553918cee0b2eb80ad6)
图12-8 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/18_01.jpg?sign=1739291481-qqFdOOZxR5aPIoXHUTcevPWQlCDbObDh-0-00f79c2148ce186254945869119930da)
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=1739291481-GXr326CG9k0c6EAES9cpqZ71owInFKVd-0-9a4a3b4a18fd62864a67971239135602)
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=1739291481-TydThzqfFLTx5cuYU3FFxK4La4ww3une-0-d15cf4925023334dd81555a8ce8aeb5b)
图12-32 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/19_03.jpg?sign=1739291481-uF6ivNchgop7aRhpUTmKwWEGMqRuMe6R-0-2308f10bce6918b8db94da459b53a409)
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=1739291481-PJVZ0d1yDFw5Ub7ddOBOeqyqicTDIJDA-0-1bf1f740a1762695f69644345b4d5d63)
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=1739291481-OQJFlQ0lthnLwezm3dK2BC9UevfMTJhI-0-a6eea024076ff061db9cd48e45a30457)
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=1739291481-QfcVZ7qTGTd7SuzNGcXM7cpfoNv1YlFH-0-0f4129e7df5d0238df497fc3d7dd0951)
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=1739291481-TVfKJMnBebMh3BdPGKwXpJL4auM7qvd4-0-bc8d8b22030435d7617705c3c775a553)
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=1739291481-aWSZX7VBaMsSOoDdwArdhQrOXQy2d9O9-0-2ed74d2f7fc5d7a148d9f3d1de9388b7)
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=1739291481-VyHfibgZ3ylk47IZI51bID3JY6JzbV9b-0-50cd1cd32d7ad357e0f0b5d81f905f71)
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=1739291481-VqUJr5PoWkbgOvDGEvLrqtQCxzfKq9At-0-8a228168f320a5df9df63b347553f9b6)
图17-2
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/23_02.jpg?sign=1739291481-qU2wB7Elbqcat0hykzfDGH61iUI1k4fH-0-e7ab5ba13b6af32bf1e79d50ef072bdf)
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=1739291481-3oT7h93BqoPUyH6jReJjK58E5nFTbCId-0-6fbe27b9e3bcaf371bb60a1fc703e101)
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=1739291481-FIcp5QgebBB9uVaBshndBODdSkoLFU7Y-0-f73c70c828f6c87d807dfb6167e952d7)
图17-14
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/25_01.jpg?sign=1739291481-alDYvsgQHzAVoQnVF1nrsuqxSivijQlw-0-45c844cbb2dd26dd3758133ff31ae567)
图17-17 的奈奎斯特等高线和图