2022年现代控制理论考试卷及答案.docx

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1、精选学习资料 - - - - - - - - - Leader resours: provincial agricultural w ork Conference held in ces. A total area of more than 5 milli on m u of arable l XX, whi ch i s our concern a l and (w hich ow ned nd l 1.53 milliove, will on aill greatly promote cres), the annual grai XX agricultural a nd r ural ec

2、onomic n output of more tha n 2 million tons adevelopment. nd is locate d in t First of all, I am representi t he inter nationally recognized gol ng XX munici pal party ol d cattle, there Committee and G shoul d be movernme ore tha n 400,000 a nt, extend a warm wel a cres of graziel ng grassla come

3、to t he attending lea ders! XX has been giv a nd, developing a nimal husba ndry conditiiv en support a nd ons; a total area a ssista nce t o the provi of 4.1 milli on acres of forest la nce of agriculture, la nd, ri ch i n preprovincial agri cult ural Office, a nd ex presse d he cious w ood such as

4、pi ne, a sh, yell ow pinea pple artfelt thanks t o all the le , standing timber volume friends! bel ow, I XX with a brief re port. of more tha n 26 milli on cubic meters. only A basic XX of XX munici pality located (citie Forest Xia has hundreds of specie s pres, omitted). One i cious wil dlife, mor

5、e ts the superior han 200 more ecol ogical environment. XX blue, spe cies preci ous her bs, a nnual Sclea r, green, water, ai uper t housand tons of wilr, 70% of land in t he territory i d mushroom and reserves Ss cov ered wit h forests, grasslands, w uper 100,000 tons of mountain dietlands a sh; ne

6、ctar s. nd waters, built 7 thousands of square kilom plant t hroug hout, ca n bee 100,000 greters of the total oup, is China bee of area of nat ure reserve Xiang, a nd national Northeast s. Within major i black bee re serves a ndustrial polluti a nd important on sources, air quality at the of bee pr

7、oducts production base; ca national level, national level s, water a n using water 2.5 billion cubiquality, soil polluti metres, shoulon, pure la nd re d be fishing water 460,000 acre e putation, was heral ded by the United Nations e re s, rich big salmon, and three spent five Luo, nvironmental offi

8、cial Nort h colal s the most d water spesuita ble pla cialty fish; found and prce for rhuma n survival. Second, the e oved reserves of mineral renrichment of natural sources has 36 specie s. Third, ge opolitical a a dvantages. XX open midpoint is located i d i n the ea a stern part of the province a

9、long the border, 264 km long bor der, with nationa l road passenger and freight transport port, built on t hihe border betwee n China and Russia has the largest permanent boundary River Bridge, running at full capacity the annual cargo capacity of up to 2.6 million tons. Russia two (HABA and Mari na

10、 ), two cities (Iman and Lesozav odsk) is the Russian Far East i i n developed areas. Lesozavodsk is 8 km from XX port corresponding to the port of markovo, Lu Rinuo station i i s one of three railway marshalling yards in the far East, the far East-Siberian railway and a parallel road runs through t

11、he pass. By rail and road, to the North by HABA capital Khabarovsk, the Russian hinterland, radiation in the CIS and Eastern European countries; to the Sout h through the port of Vladivostok and the nahuo card on the sea, to rea ch S outh Korea, Japan and other Pacific Rim countries and regions. Fou

12、r is rich i n tourism resources. XX tourist resources types, many attractions, beautifulscenery of the Sino-Russia n borderer-river-wusul i River, a famous treasure island, known as the Oriental Maginot line of the Japa a nese i nvadi ng army Tiger underground fortress ruins, General Ch西北工业大学考试试题（卷）

13、开课学院2008 2009 学年第2 学期学时32 自动化学院课程现代控制理论一、 简答题 （对或错， 10 分）（1）描述系统的状态方程不是唯一的。（2）用独立变量描述的系统状态向量的维数不是唯一的。（3）对单输入单输出系统，如果 C sI A ) 1B 存在零极点对消，则系统一定不可控或者不可观测。（4）对多输入多数出系统，如果 ( sI A ) 1B 存在零极点对消，则系统一定不可控。（5）李雅普诺夫直接法的四个判定定理中所述的条件都是充分条件。（6）李雅普诺夫函数是正定函数，李雅普诺夫稳定性是关于系统平衡状态的稳定性。（7）线性定常系统经过非奇异线性变换后，系统的可控性不变。（8）用状

14、态反馈进行系统极点配置可能会改变系统的可观测性。（9）通过全维状态观测器引入状态反馈来任意配置系统的闭环极点时，要求系统必须同时可控和可观测。（10） 对一个线性定常的单输入单输出5 阶系统，假定系统可控可观测，通过设计输出至输入名师归纳总结 - - - - - - -的反馈矩阵H 的参数能任意配置系统的闭环极点。二、 试求下述系统的状态转移矩阵( )t和系统状态方程的解x1(t)和 x2(t)。（15 分）x t ( )01x t ( )2u t ( )x 1(0)0,u t ( )et,t0x t ( )23x t ( )0x 2(0)1三、 设系统的传递函数为y s ( )s s10s2

15、)。试用状态反馈方法， 将闭环极点配置在2，u s ( )1)(1j， 1j 处，并写出闭环系统的动态方程和传递函数。（15 分）四、 已知系统传递函数Y s ( )s2s23，试求系统可观标准型和对角标准型，并画出系统可U s ( )4 s第 1 页，共 6 页精选学习资料 - - - - - - - - - Leader resours: provincial agricultural w ork Conference held in ces. A total area of more than 5 milli on m u of arable l XX, whi ch i s our c

16、oncern a l and (w hich ow ned nd l 1.53 milliove, will on aill greatly promote cres), the annual grai XX agricultural a nd r ural economic n output of more tha n 2 million tons adevelopment. nd is locate d in t First of all, I am representi t he inter nationally recognized gol ng XX munici pal party

17、 ol d cattle, there Committee and Governme shoul d be m ore thae n 400,000 a nt, extend a warm wel a cres of graziel ng grassla come to t he attending lea ders! XX has been giv en support a nd a nd, developing a nimal husba ndry conditi ons; a total area a ssista nce t o the provi of 4.1 milli on ac

18、res of forest la nce of agriculture, la nd, ri ch i n preprovincial agri cult ural Office, a nd ex presse d he cious w ood such as pi ne, a sh, yell ow pinea ppleartfelt thanks t o all the , standing timber volume friends! bel ow, I XX with a brief re port. of more tha n 26 milli on cubic meters. A

19、basic XX of XX munici pality located (citie Forest Xia has hundreds of specie s pres, omitted). One i cious wil dlife, more ts the superior han 200 more ecol ogical environment. XX blue, spe cies preci ous her bs, a nnual Sclea r, green, water, ai uper t housand tons of wilr, 70% of land in t he ter

20、ritory i d mushroom and reserves Ss cov ered wit h forests, grasslands, w uper 100,000 tons of mountain dietlands a sh; nectar s. nd waters, built 7 thousands of square kilometers of the total plant t hroug hout, ca n bee 100,000 gr oup, is China bee of area of nat ure reserve Xiang, a nd national N

21、ortheast s. Within major i black bee re serves a ndustrial polluti a nd important on sources, air quality at the of bee products production base; ca national level, national level s, water a n using water 2.5 billion cubiquality, soil polluti metres, shoulon, pure la nd re d be fishing water 460,000

22、 acreputation, was heral ded by the United Nations e s, rich big salmon, and three spent five Luo, nvironmental official Nort h colal s the most d water spe suita ble pla cialty fish; found and prce for rhuma n survival. Second, the e oved reserves of mineral renrichment of natural sources has 36 sp

23、ecie s. Third, ge opolitical a a dvantages. XX open midpoint is located i d i n the ea a stern part of the province along the border, 264 km long bor der, with nationa l road passenger and freight transport port, t, built on t hihe border betwee n China and Russia has the largest permanent boundary

24、River Bridge, running at full capacity the annual cargo capacity of up to 2.6 million tons. Russia two (HABA and Marina), two cities (Iman and Lesozav odsk) is the Russian Far East i i n developed areas. Lesozavodsk is only 8 km from XX port corresponding to the port of markovo, Lu Rinuo station i i

25、 s one of three railway marshalling yards in the far East, the far East-Siberian railway and a parallel road runs through the pass. By rail and road, to the North by HABA capital Khabarovsk, the Russian hinterland, radiation in the CIS and Eastern European countries; to the South through the port of

26、 Vladivostok and the nahuo card on the sea, to reach South Korea , Japan and other Pacific Rim countries and regions. Four is rich in tourism resources. XX tourist resources types, many attractions, beautifulscenery of the Sino-Russia n borderer-river-wusul i River, a famous treasure island, known a

27、s the Oriental Maginot line of the Japa a nese i nvadi ng army Tiger underground fortress ruins, General Ch观标准型的状态变量图。 （15 分）五、 已知系统的动态方程为x &a2x1u，试确定 a，b 值，使系统完全可控、完全可101yb0x观。（15 分）六、 确定下述系统的平衡状态，并用李雅普诺夫稳定性理论判别其稳定性。（15 分）x & 1x 2kx x 1 1 2x 2 2)x & 2x 1kx 2(x 1 2x 2 2)七、以下两题任选一题（15 分）(1) 证明状态转移矩阵性

28、质：(t)1( ) t 。(2) 证明：非奇异性变换后，线性定常系统S（A,B,C,D ）的可观测性不变。拉氏变换 H(s) 时间函数拉氏变换 H(s) 时间函数1/s1 t)1/(sa)eat1sn1tn!n1/(sa2)teat教务处印制共 2 页第 2 页名师归纳总结 - - - - - - -第 2 页，共 6 页精选学习资料 - - - - - - - - - Leader resours: provincial agricultural w ork Conference held in ces. A total area of more than 5 milli on m u of

29、 arable l XX, whi ch i s our concern a l and (w hich ow ned nd l 1.53 milliove, will on aill greatly promote cres), the annual grai XX agricultural a nd r ural economic n output of more tha n 2 million tons adevelopment. nd is locate d in t First of all, I am representi t he inter nationally recogni

30、zed gol ng XX munici pal party ol d cattle, there Committee and Governme shoul d be m ore thae n 400,000 a nt, extend a warm wel a cres of graziel ng grassla come to t he attending lea ders! XX has been giv a nd, developing a nimal husba ndry conditiiv en support a nd ons; a total area a ssista nce

31、t o the provi of 4.1 milli on acres of forest la nce of agriculture, la nd, ri ch i n preprovincial agri cult ural Office, a nd ex presse d he cious w ood such as pi ne, a sh, yell ow pinea pple artfelt thanks t o all the le , standing timber volume friends! bel ow, I XX with a brief re port. of mor

32、e tha n 26 milli on cubic meters. only A basic XX of XX munici pality located (citie Forest Xia has hundreds of specie s pres, omitted). One i cious wil dlife, more ts the superior han 200 more ecol ogical environment. XX blue, spe cies preci ous her bs, a nnual Sclea r, green, water, ai uper t hous

33、and tons of wilr, 70% of land in t he territory i d mushroom and reserves Ss cov ered wit h forests, grasslands, w uper 100,000 tons of mountain dietlands a sh; nectar s. nd waters, built 7 thousands of square kilometers of the total plant t hroug hout, ca n bee 100,000 gr oup, is China bee of area

34、of nat ure reserve Xiang, a nd national Northeast s. Within major i black bee re serves a ndustrial polluti a nd important on sources, air quality at the of bee products production base; ca national level, national level s, water a n using water 2.5 billion cubiquality, soil polluti metres, shoulon,

35、 pure la nd re d be fishing water 460,000 acre e putation, was heral ded by the United Nations e re s, rich big salmon, and three spent five Luo, nvironmental official Nort h colal s the most d water spesuita ble pla cialty fish; found and prce for rhuma n survival. Second, the e oved reserves of mi

36、neral renrichment of natural sources has 36 specie s. Third, ge opolitical a a dvantages. XX open midpoint is located i d i n the ea a stern part of the province along the border, 264 km long bor der, with nationa l road passenger and freight transport port, built on t hihe border betwee n China and

37、 Russia has the largest permanent boundary River Bridge, running at full capacity the annual cargo capacity of up to 2.6 million tons. Russia two (HABA and Marina), two cities (Iman and Lesozav odsk) is the Russian Far East i i n developed areas. Lesozavodsk is 8 km from XX port corresponding to the

38、 port of markovo, Lu Rinuo station i i s one of three railway marshalling yards in the far East, the far East-Siberian railway and a parallel road runs through the pass. By rail and road, to the North by HABA capital Khabarovsk, the Russian hinterland, radiation in the CIS and Eastern European count

39、ries; to the Sout h through the port of Vladivostok and the nahuo card on the sea, to rea ch S outh Korea, Japan and other Pacific Rim countries and regions. Four is rich i n tourism resources. XX tourist resources types, many attractions, beautifulscenery of the Sino-Russia n borderer-river-wusul i

40、 River, a famous treasure island, known as the Oriental Maginot line of the Japa a nese i nvadi ng army Tiger underground fortress ruins, General Ch2009 年现代控制理论试卷 第一题（ 10 分， 每个小题答对 1 分，答错 0 分）A 评分标准及答案（1）对（2）错（3）对 （4）错 （5）对（6）对（7）对 （8）对 （9）对（ 10）错第二题（ 15 分）（1）(t （7 分）：公式正确3 分，计算过程及结果正确4 分4 分2tsIAss1

41、23(sIA )1(s12)s31s2s12s1s121 21 12s221 )(ss1s2s1s2(t)L1(sIA)12ete2t2 tete2 t2t2 et2eet2 e（2） 状态方程有两种解法（8 分）：公式正确4 分，计算过程及结果正确x( t)( t)x( 0 )t()Bu( t)dte2t0x 1( t)ete2t2t2t2 ee22e(t)d(4 t)1ex 2( t)t0e2 e2 e2 e(4 t3 ) et2 e或者名师归纳总结 X(s )(sIA )1x (0 )( sIA )1BU( s )）4 tetette2t2 t第 3 页，共 6 页2 (s3 )x( t

42、)L1(sIA )1x( 0 )L1 (s)12(s2 )4(s)12(s2 )x 1( t)ette2t2tL1( s42s21s22)1 444x 2( t)e2 e2s1s24 tet3 e2 e( s)1第三题（ 15 分， 答案不唯一，这里仅给出可控标准型的结果（1）系统动态方程（3 分）0100x001x0u0231y1000x- - - - - - -精选学习资料 - - - - - - - - - Leader resours: provincial agricultural w ork Conference held in ces. A total area of more than 5 milli on m u of arable l XX, whi ch i s our concern a l and (w hich ow ned nd l 1.53 milliove, will on a greatly promote cres), the annual grai XX agricultural a nd r ural economic n output of more tha n 2 million tons adevelopment. nd is locate d in tFirst of all, I am representi he i