![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=1739293624-lAgHUHXdQF4iVKx2xsS5Vckdo2Nx3Dkf-0-826cb418a4069ba3b52efcb585bfeaf0)
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=1739293624-yDLoobAguZELASV3FsAOOcUI5EfFUctV-0-10467db6d0250962bba2b8b7593b521b)
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=1739293624-jZ4fAknNrJ8cv7XWSgRs1PVDlGzAct20-0-56563b8a0f2952f50ea46b20bae81356)
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=1739293624-Sqzk6HboUcEGsFOxnjWDw9L8OKbCiDuh-0-1223984f9f5bf9cbd33c36a09f450f08)
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=1739293624-CjP4nigFUdd0sMB5y7NPjmdnGI9H6WWA-0-377ff46457e84eaf590c483b71d49c39)
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=1739293624-HGBXywAGCscyngr76HdEu9VxcQEmP3o2-0-1d10bbe780ce2abf16aad7f0003b1a78)
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=1739293624-VLqHSW4ZZLW5LCSfIJn3i3MZwCsVFsTY-0-c2eb86ff54d99abee7a9001564de392c)
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=1739293624-ueNTj8XXgaYoo15CcVg7PjJPeaOFmJCs-0-0ad26860dfedbdc78b62c32e3ac0aa5c)
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=1739293624-ho0sZnb0GpGrdjJZYKnyNx0uIreFVPKD-0-2bbb6587435a2d8d8521436742eb79e2)
图11-17
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_01.jpg?sign=1739293624-G8apdU0LAMpHsfpJckYKITwoe7mvv6hd-0-5946063dfa2d687d5a5bb4e6691a7c2f)
图11-26
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/6_03.jpg?sign=1739293624-xzSS5wIwSgZpK3KwknjTnjsscmLkmkEt-0-2c2f915d54b5f30f63ed8159c24ab7cd)
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=1739293624-cYqwZgmu0veYOlbEaGBzs2gppR8HwNEh-0-ff37b12a180949d2799701ac576f3440)
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=1739293624-LPnHFaQTX3P83dghaxrgIPDOPXCOOcAy-0-882c6499d04a466790ca6e6427ee6aa9)
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=1739293624-YKuSi1yOmthfDoKdsbkUg7yY0ZaZz8rN-0-b6514ba9033ded94a358e8698a7502f6)
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=1739293624-O9sHUZGt1PvdUpLjN7TQCLi8aWuAIkHD-0-cfec03e6584c7e01b834684b6840070c)
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=1739293624-Sz8Gg4VHQDRcnbKGCumniKYwLp7ZDXzg-0-8fba07c432edae4b2c79c0b2a8341247)
图11-35 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/8_03.jpg?sign=1739293624-hF2qSCVsXVcXbxzl4v8OAxxmdjmKw2Qs-0-14fa91f1d7951de76e7f9d96ce925a3d)
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=1739293624-RhZju5M1b4Ejr8L7DhEsXLssk59ZIaxL-0-5b9942358228e2908b790de2356c8def)
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=1739293624-69pB27wilgoS5aLKW4izKSc4rDc9etnV-0-c6014f64ed832a8d6b2c880680f17b5c)
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=1739293624-uK9N64bL0EZyebvnUUaVABZejoSZdojn-0-0573dd22781d40df1ab15a4d72fe834c)
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=1739293624-SZbsOPc2FwRW4ZZZ27bsy5wF77lIxQHh-0-5b0554165cebe85d93fc57f4031a151d)
图11-40 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_01.jpg?sign=1739293624-OOBFDix246SwTMhuFxeLifeuNM6aS0DP-0-2e6d697248188cbabc478672f2c5dc2b)
图11-42 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_03.jpg?sign=1739293624-wymcRdF73qByHBd1yU5uIDt5b58VXlaS-0-19a24d51eace2ba1ca64e4acc7fb7961)
图11-43 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/10_05.jpg?sign=1739293624-YquJS8luiNDi7L9cfkrSEPlrrC0RfB2t-0-d3ee807d608ab6031ac094e4051c2542)
图11-45 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_01.jpg?sign=1739293624-HEbH7pjc2q7dkkxYUaMWtAm3Y4O3sCx1-0-d253f2ef2639436a43198e8c62824d97)
图11-46 的奈奎斯特图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/11_03.jpg?sign=1739293624-bTpejCYTpAawT5xCTmmdoFeGGpFFf1EA-0-8d5062b765957cef87baa3f2181babeb)
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=1739293624-USd7yxTW5PU1Wkgkk9fcdB1SuswWyG7X-0-a7df9fd020388960ff3e0846753d5583)
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=1739293624-h8uluLs2DtQLNuHMI5MN9y84jyuoZLdP-0-f1254725750298fb4b70c572b4cd1e0f)
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=1739293624-zpx8k5TC5tg5WNkxKY9bi5mlU1OAatAh-0-6ba00fd176e0a7afe1d1fc5f90a6ee41)
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=1739293624-I9URbZdZinl4U8WNoamLrv0AsEABdDXq-0-05e5b3d4c91c61ae1da167a1a0f871da)
图11-68 的奈奎斯特环绕线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/12_06.jpg?sign=1739293624-dXrUPufNozzUONnt04dfYpY1S5pdAhCo-0-2585fd336de315e8ddb86fee6c88264c)
图11-69 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/13_01.jpg?sign=1739293624-yNayoZYl3Ai8MhnCMHN6rWS5vF6pYInz-0-00269d3a602da1f3bc051c40cc1ab144)
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=1739293624-8MRMYbDqrY61ktJYOZR9AaHnxi5eiwRF-0-471ca09c29a2cbe9c33e0b1cda775686)
图11-72 的极坐标图
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_01.jpg?sign=1739293624-aRhFNAhpRnn69H7eXqEReMBtpbsS6JGH-0-a5aa1d52da6efd17395f8d6a91dbf856)
图11-74
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_02.jpg?sign=1739293624-0utTrFS9iyuajlz0qhKkfCkK850rUHu8-0-4242beef833aed1799dabd4c7505b53f)
图11-82 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/14_03.jpg?sign=1739293624-ZlbpD8Bjm3tEfdq3nOJIPM5gaI5bItms-0-b0c6ec8f5e0429af7376c3d48a7dd6ba)
图11-83 奈奎斯特等值线
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/15_01.jpg?sign=1739293624-18p39PjXuZnCGttEnqRdZwZYjDFvcBSM-0-4e2c062162e32b80963f545be5a8367a)
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=1739293624-bZX9cOIpJ6wBfg4a9W7wNiU93rcnSKXU-0-88de7d4aae593c4493363ea6f61a2edc)
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=1739293624-k58xF8dAOHpLqFIsaqQVQjV0S83GIlC1-0-b50348af8b77f520e2b4a8f2d01ea07f)
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=1739293624-Op1wj8OPxSqyoIwzNxIlhUwsPSZc0nyX-0-bb229f9bc6a74ad6f5f6177c356d7da5)
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=1739293624-R1f4I0luxHr7cP1bZCBbfOSEG5kqy2Z0-0-e47251b014d7da4a66090bd57cf105f6)
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=1739293624-w1hDg1MV9IKHvPOxI3uS2bqEctj7Lnti-0-548ae00f75b1dfbf474f473b631d2805)
图12-8 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/18_01.jpg?sign=1739293624-XuvddTY9jn1MyGLj16RlJmVVYbEzLI9N-0-323ac9e7afb0d726f39efbff1ee9adde)
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=1739293624-MrM8q4uQMcNEwQx3N5I7Ojs4BB73c3BM-0-910d94fb5447632724f16644fca728f2)
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=1739293624-F4vPX4i8CCqh70qsyahnFQUMIKXhO91j-0-0c625dcbc3e47c4232582b9afc139dad)
图12-32 的根轨迹
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/19_03.jpg?sign=1739293624-zj6SbORG4JlEpEcX7rLOKbf0qjkxQKzJ-0-ed0f458289e18e67d865555cc4d8e906)
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=1739293624-gR0HRM3CC42xrMPzW9qrwh3g0Y9qWqZH-0-62b7dfb14bf40fa10a6ecfa9fe0185cd)
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=1739293624-BYVSB3d2CKFTAE5I2yZHANS5MzkOhpyg-0-6c9a6d47b79292794d2538120106a3b7)
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=1739293624-xKvUvQfyNHBjZNdg3lwvL3LkadGR3AST-0-7dabe2b1a7ce3003a67081a27d9d9284)
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=1739293624-tnziEjQRxXe0kQPadcvgOvCwJfHJkbjg-0-9f02237cd1424d0f3f3c3bef55b4d9cb)
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=1739293624-SCYPJuWawwOyDgj24npTYgVLMJ8GrmCJ-0-97467791febeac63afb3401c53babc8a)
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=1739293624-FqzTxOuKnrfnvKWBfKXmTAhlapBctvSR-0-81cacc9c912fbb387c1ef4f766b74763)
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=1739293624-8aPGZYAzkd2CsoFYD5PkO7YrAzpO8E9f-0-4f15310ee28deec440694990deeeb510)
图17-2
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/23_02.jpg?sign=1739293624-unkzB6skZMP7q0CgEKS1SmWxxDF4iZ1Q-0-42f2fbb958074785f7ada1652ae87656)
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=1739293624-qLPZgVgTfwhNkeYsidvKmmsrsR3oz6o5-0-5fa421d776749618b96ea4be333f6133)
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=1739293624-E3LupNOhjhIxr9044rwq1dNrSPJQxvFC-0-bd87caa6008ed6e34a8767ffbc943f4b)
图17-14
![](https://epubservercos.yuewen.com/2A12F5/29686623104653906/epubprivate/OEBPS/Images/25_01.jpg?sign=1739293624-GO5BtcIM5P13Rz9rfFhIpLnYQ4ZIDfaH-0-53711f6cfed082ec89bec25b73d0dd4c)
图17-17 的奈奎斯特等高线和图