(完整版)現(xiàn)代控制理論考試卷及答案

1、Leaders: provincial agricultural work Conferenceheld inXX, whi ch i s our concern and love, willgreatly promoteXX agricultural and r ural economicdevelopment.First of all, I am representing XX municipal partyCommittee and Government, extend a warm welng grasslacome to the attending leaders! XXhasbee

2、n given support and assista nce t o theprovince of agriculture,provincial agricultural Office, and ex presse d heartfelt thanks to all thefriends! below,I XX with a brief report.A basic XX of XX municipality located (cities, omitted).One is the superiorecol ogical environment.XX blue,clea r, green,

3、water, air, 70% of land in the territory is cov ered with forests, grasslands, wn dietlands a nd waters, built 7 thousands of square kilometers of the totalarea of nature reserves.Within major industrial pollution sources, air quality at thenational level,national levels, waterresources. A totalarea

4、 of more than 5 million m u of arable land (which ow ned1.53 million a cres), the annual grain outputof more than 2 million tons and is l ocated in t he internationally recognized gold cattle, thereshould be m ore tha n 400,000 acres of grazind, developing animal husbandryconditions; a total areaof

5、4.1 million acres of forest land, ri ch i n precious wood such as pine, ash, yell owpinea pple, standing timber volumeof more than 26 millioncubic meters.Forest Xia has hundreds of species precious wil dlife, more than200 morespe ciespreci ous her bs, a nnual Super t housand tons of wild mushroom an

6、d reserves Super 100,000 tons of mountaish; nectarplant t hroug hout, can bee 100,000 group, is China bee ofXiang, andnational Northeastblack bee reserves a nd importantof beeproductsproduction base; can using water2.5 billion cubiThird, geopolitical advantages.XX open midpoint is located in the eas

7、tern part of the province along theborder, 264 km longbor der,with nationa l roadpassenger and freight transport port,builton t he borderbetween China and Russiahas the largest permanent boundary RiverBridge, running at full capacity the annual cargocapacity of up to 2.6 million tons. Russia two (HA

8、BA and Marina), two cities (Iman and Lesozav odsk) is the Russian Far East in developed areas.Lesozavodsk isonly8 km from XXport corresponding to theport of markovo,Lu Rinuostation is one of three railway marshalling yards i n the far East, the far East-Siberian railway and a parallel road r uns thr

9、ough the pass.By rail and road, to the Northby HABAcapital Khabarovsk, the Russian hi nterland, radiation i n the CIS and Eastern Europeancountries; to the Sout h through the port of Vladivostok and thescenery of the Sino-Russia n border -river-wusul i River, a famous treasure island, k nown as the

10、Oriental Maginot line of the Japanese invading army Tiger underground fortress ruins,GeneralChi西北工業(yè)大學(xué)考試試題（卷）2008 2009學(xué)年第 2 學(xué)期學(xué)時 32開課學(xué)院自動化學(xué)院課程現(xiàn)代控制理論一、 簡答題 （對或錯， 10分）（ 1） 描述系統(tǒng)的狀態(tài)方程不是唯一的。（ 2） 用獨立變量描述的系統(tǒng)狀態(tài)向量的維數(shù)不是唯一的。（3）對單輸入單輸出系統(tǒng)，如果C (sIA) 1 B 存在零極點對消，則系統(tǒng)一定不可控或者不可觀測。（4）對多輸入多數(shù)出系統(tǒng)，如果( sIA) 1 B 存在零極點對消，則系統(tǒng)一

11、定不可控。（ 5） 李雅普諾夫直接法的四個判定定理中所述的條件都是充分條件。（ 6） 李雅普諾夫函數(shù)是正定函數(shù)，李雅普諾夫穩(wěn)定性是關(guān)于系統(tǒng)平衡狀態(tài)的穩(wěn)定性。（ 7） 線性定常系統(tǒng)經(jīng)過非奇異線性變換后，系統(tǒng)的可控性不變。（ 8） 用狀態(tài)反饋進(jìn)行系統(tǒng)極點配置可能會改變系統(tǒng)的可觀測性。（ 9） 通過全維狀態(tài)觀測器引入狀態(tài)反饋來任意配置系統(tǒng)的閉環(huán)極點時，要求系統(tǒng)必須同時可控和可觀測。（ 10） 對一個線性定常的單輸入單輸出5 階系統(tǒng)，假定系統(tǒng)可控可觀測，通過設(shè)計輸出至輸入的反饋矩陣 H 的參數(shù)能任意配置系統(tǒng)的閉環(huán)極點。二、 試求下述系統(tǒng)的狀態(tài)轉(zhuǎn)移矩陣(t ) 和系統(tǒng)狀態(tài)方程的解x1(t)和 x2(t)

12、 。（ 15 分）&(t)01x1 (t )2x1(0)0tx1&(t)23x2 (t )u(t)x2(0),u(t) e, t 0x201三、 設(shè)系統(tǒng)的傳遞函數(shù)為y(s)10。試用狀態(tài)反饋方法， 將閉環(huán)極點配置在2，u( s)s(s 1)(s2)1 j ， 1 j 處，并寫出閉環(huán)系統(tǒng)的動態(tài)方程和傳遞函數(shù)。（ 15分）Y( s)s2并畫出系統(tǒng)可四、 已知系統(tǒng)傳遞函數(shù)s2，試求系統(tǒng)可觀標(biāo)準(zhǔn)型和對角標(biāo)準(zhǔn)型，U (s)4s 3Leaders: provincial agricultural work Conferenceheld inXX, whi ch i s our concern and lo

13、ve, willgreatly promoteXX agricultural and r ural economicdevelopment.First of all, I am representing XX municipal partyCommittee and Government, extend a warm welcome to the attending leaders! XXhasbeen giv en support and assista nce t o theprovince of agriculture,provincial agricultural Office, an

14、d ex pressed heartfelt thanks to all thefriends! below,I XX with a brief report.A basic XX of XX municipality located (cities, omitted).One is the superiorecol ogical environment.XX blue,clea r, green, water, air, 70% of land in the territory is cov ered with forests, grasslands, wn dietlands and wa

15、ters, built 7 thousands of square kilometers of the totalarea of nature reserves.Within major industrial pollution sources, air quality at thenational level,national levels, waterquality, soil pollution, pure laresources. A totalarea of more than 5 million m u of arable land (which ow ned1.53 millio

16、n a cres), the annual grain outputof more than 2 million tons and is l ocated in t he internationally recognized gold cattle, thereshould be m ore tha n 400,000 acres of grazi ng grassland, developing animal husbandryconditions; a total areaof 4.1 million acres of forest land, ri ch i n precious woo

17、d such as pine, ash, yell owpinea pple, standing timber volumeof more than 26 millioncubic meters.Forest Xia has hundreds of species precious wil dlife, more than200 morespe ciespreci ous her bs, a nnual Super t housand tons of wild mushroom and reserves Super 100,000 tons of mountaish; nectarplant

18、t hroug hout, can bee 100,000 group, is China bee ofXiang, andnational Northeastblack bee reserves a nd importantof beeproductsproduction base; can using water2.5 billion cubimetres, shoulThird, geopolitical advantages.XX open midpoint is located in the eastern part of the province along theborder,

19、264 km longbor der,with nationa l roadpassenger and freight transport port,builton t he borderbetween China and Russia has the largest permanent boundary RiverBridge, running at full capacity the annual cargocapacity ofup to 2.6 million tons. Russia two (HABA and Marina), two cities (Iman and Lesoza

20、vodsk) is the Russian Far East in developed areas.Lesozavodsk isonly 8 km from XXport corresponding to theport of markovo,Lu Rinuostation is one of three railway marshalling yards i n the far East, the far East-Siberian railway and a parallel road r uns through the pass.By rail and road, to the Nort

21、hby HABAcapital Khabarovsk, the Russian hi nterland, radiation i n the CIS and Eastern Europeancountries; to the Sout h through the port of Vladivostok and thenahuo card on thesea, to reascenery of the Sino-Russia n border -river-wusul i River, a famous treasure island, k nown as the Oriental Magino

22、t line of the Japanese invading army Tiger underground fortress ruins, GeneralChi觀標(biāo)準(zhǔn)型的狀態(tài)變量圖。（ 15 分）&a2x1x10u，試確定 a， b 值，使系統(tǒng)完全可控、完全可五、 已知系統(tǒng)的動態(tài)方程為1yb0 x觀。（ 15 分）六、 確定下述系統(tǒng)的平衡狀態(tài)，并用李雅普諾夫穩(wěn)定性理論判別其穩(wěn)定性。（15 分）x&xkx ( x2x2 )12112x&x2x2)kx ( x21212七、以下兩題任選一題（ 15 分）(1)證明狀態(tài)轉(zhuǎn)移矩陣性質(zhì)：( t )1 (t) 。(2)證明：非奇異性變換后，線性定常系統(tǒng)S

23、（ A,B,C,D ）的可觀測性不變。拉氏變換 H(s)時間函數(shù)拉氏變換 H(s)時間函數(shù)1 / s1(t )1/(sa)e at1 sn 1t n n!1/(sa)2te at教務(wù)處印制共 2頁第2頁Leaders: provincial agricultural work Conferenceheld inXX, whi ch i s our concern and love, willgreatly promoteXX agricultural and r ural economicdevelopment.First of all, I am representing XX munici

24、pal partyCommittee and Government, extend a warm welcome to the attending leaders! XXhasbeen given support and assista nce t o theprovince of agriculture,provincial agricultural Office, and ex presse d heartfelt thanks to all thefriends! below,I XX with a brief report.A basic XX of XX municipality l

25、ocated (cities, omitted).One is the superiorecol ogical environment.XX blue,clea r, green, water, air, 70% of land in the territory is cov ered with forests, grasslands, wn dietlands a nd waters, built 7 thousands of square kilometers of the totalarea of nature reserves.Within major industrial pollu

26、tion sources, air quality at thenational level,national levels, waterquality, soil pollution, pure laresources. A totalarea of more than 5 million m u of arable land (which ow ned1.53 million a cres), the annual grain outputof more than 2 million tons and is l ocated in t he internationally recogniz

27、ed gold cattle, thereshould be m ore tha n 400,000 acres of grazi ng grassland, developing animal husbandryconditions; a total areaof 4.1 million acres of forest land, ri ch i n precious wood such as pine, ash, yell owpinea pple, standing timber volumeof more than 26 millioncubic meters.Forest Xia h

28、as hundreds of species precious wil dlife, more than200 morespe ciespreci ous her bs, a nnual Super t housand tons of wild mushroom and reserves Super 100,000 tons of mountaish; nectarplant t hroug hout, can bee 100,000 group, is China bee ofXiang, andnational Northeastblack bee reserves a nd import

29、antof beeproductsproduction base; can using water2.5 billion cubimetres, shoulThird, geopolitical advantages.XX open midpoint is located in the eastern part of the province along theborder, 264 km longbor der,with nationa l roadpassenger and freight transport port,builton t he borderbetween China an

30、d Russia has the largest permanent boundary RiverBridge, running at full capacity the annual cargocapacity of up to 2.6 million tons. Russia two (HABA andMarina), two cities (Iman and Lesozav odsk) is the Russian Far East in developed areas.Lesozavodsk isonly8 km from XXport corresponding to theport

31、 of markovo,Lu Rinuostation is one of three railway marshalling yards i n the far East, the far East-Siberian railway and a parallel road r uns through the pass.By rail and road, to the Northby HABAcapital Khabarovsk, the Russian hi nterland, radiation i n the CIS and Eastern Europeancountries; to t

32、he Sout h through the port of Vladivostok and thenahuo card on thesea, to reascenery of the Sino-Russia n border -river-wusul i River, a famous treasure island, k nown as the Oriental Maginot line of the Japanese invading army Tiger underground fortress ruins,GeneralChi2009 年現(xiàn)代控制理論試卷A 評分標(biāo)準(zhǔn)及答案第一題（ 10

33、 分， 每個小題答對1 分，答錯 0 分）（ 1）對 （ 2）錯 （ 3）對 （ 4）錯 （ 5）對 （ 6）對 （ 7）對 （ 8）對 （ 9）對 （ 10）錯第二題（ 15 分）（ 1） (t ) （ 7 分）：公式正確3 分，計算過程及結(jié)果正確4 分sIAs12 s31s312111( sIA)1s1s2s1s2(s 1)(s 2)2s2212s1s2s1s2(t)L 1( sIA) 12e te 2te te 2t2e t2e 2te t2e 2t（ 2） 狀態(tài)方程有兩種解法（8 分）：公式正確4 分，計算過程及結(jié)果正確4 分tx(t )(t) x(0)()Bu(t)d0x1 (t )

34、e te 2tt2ee 2(4t1)e2e(t )x2 (t )e t2e 2 t2e2e 2d3)e0(4t或者te 2tt 2e 2tX ( s)( sIA) 1 x(0) (sIA) 1 BU (s)2(s3)x(t )L1( sI A)1x(0)1(s1) 2 ( s2)L 4(s1) 2 ( s2)x1(t)ex2(t )ete 2 t422L 1 (s1) 2s1s24tet2e 2 t4444te(s1) 2s1s2te te 2tt3et2e 2t第三題（ 15 分， 答案不唯一，這里僅給出可控標(biāo)準(zhǔn)型的結(jié)果）（ 1）系統(tǒng)動態(tài)方程（3 分）0100x001x0 u0231y100

35、0 xLeaders: provincial agricultural work Conferenceheld inXX, whi ch i s our concern and love, willgreatly promoteXX agricultural and r ural economicdevelopment.First of all, I am representing XX municipal partyCommittee and Government, extend a warm welcome to the attending leaders! XXhasbeen giv e

36、n support and assista nce t o theprovince of agriculture,provincial agricultural Office, and ex pressed heartfelt thanks to all thefriends! below,I XX with a brief report.A basic XX of XX municipality located (cities, omitted).One is the superiorecol ogical environment.XX blue,clea r, green, water,

37、air, 70% of land in the territory is cov ered with forests, grasslands, wn dietlands and waters, built 7 thousands of square kilometers of the totalarea of nature reserves.Within major industrial pollution sources, air quality at thenational level,national levels, waterquality, soil pollution, pure

38、laresources. A totalarea of more than 5 million m u of arable land (which ow ned1.53 million a cres), the annual grain outputof more than 2 million tons and is l ocated in t he internationally recognized gold cattle, thereshould be m ore tha n 400,000 acres of grazi ng grassland, developing animal h

39、usbandryconditions; a total areaof 4.1 million acres of forest land, ri ch i n precious wood such as pine, ash, yell owpinea pple, standing timber volumeof more than 26 millioncubic meters.Forest Xia has hundreds of species precious wil dlife, more than200 morespe ciespreci ous her bs, a nnual Super

40、 t housand tons of wild mushroom and reserves Super 100,000 tons of mountaish; nectarplant t hroug hout, can bee 100,000 group, is China bee ofXiang, andnational Northeastblack bee reserves a nd importantof beeproductsproduction base; can using water2.5 billion cubimetres, shoulThird, geopolitical a

41、dvantages.XX open midpoint is located in the eastern part of the province along theborder, 264 km longbor der,with nationa l roadpassenger and freight transport port,builton t he borderbetween China and Russia has the largest permanent boundary RiverBridge, running at full capacity the annual cargoc

42、apacity ofup to 2.6 million tons. Russia two (HABA and Marina), two cities (Iman and Lesozavodsk) is the Russian Far East in developed areas.Lesozavodsk isonly 8 km from XXport corresponding to theport of markovo,Lu Rinuostation is one of three railway marshalling yards i n the far East, the far Eas

43、t-Siberian railway and a parallel road r uns through the pass.By rail and road, to the Northby HABAcapital Khabarovsk, the Russian hi nterland, radiation i n the CIS and Eastern Europeancountries; to the Sout h through the port of Vladivostok and thenahuo card on thesea, to reascenery of the Sino-Ru

44、ssia n border -river-wusul i River, a famous treasure island, k nown as the Oriental Maginot line of the Japanese invading army Tiger underground fortress ruins, GeneralChi（ 2）狀態(tài)反饋矩陣（5 分，公式正確3 分）kk0k1 k 2uv kx由閉環(huán)極點和閉環(huán)系統(tǒng)特征多項式有I (A BK)3(3 k 2 ) 2(2 k1 )k0(2)(1 j )( 1 j )34 264比較， k4 41。0100（ 3）閉環(huán)系統(tǒng)的動態(tài)

45、方程（3 分）：x001x0 v4641y100 0 x（ 4）閉環(huán)系統(tǒng)的傳遞函數(shù)（4 分）： G(s)Y(s)10U(s)s34s26s 4第四題 （ 15 分）已知系統(tǒng)傳遞函數(shù)Y(s)s2，試求系統(tǒng)可觀標(biāo)準(zhǔn)型和對角標(biāo)準(zhǔn)型，U (s)s24s 3并畫出相應(yīng)的系統(tǒng)狀態(tài)圖。答：（ 1）可觀標(biāo)準(zhǔn)型及狀態(tài)圖（5 分）x01x1034x2u可控標(biāo)準(zhǔn)型為：1x1y2 1x203x12x4x2u根據(jù)對偶原理，系統(tǒng)可 觀標(biāo)準(zhǔn)型為：11x1y01x2（ 2）系統(tǒng)可觀測標(biāo)準(zhǔn)型狀態(tài)變量圖如下：（5 分）Leaders: provincial agricultural work Conferenceheld inX

46、X, whi ch i s our concern and love, willgreatly promoteXX agricultural and r ural economicdevelopment.First of all, I am representing XX municipal partyCommittee and Government, extend a warm welcome to the attending leaders! XXhasbeen given support and assista nce t o theprovince of agriculture,pro

47、vincial agricultural Office, and ex presse d heartfelt thanks to all thefriends! below,I XX with a brief report.A basic XX of XX municipality located (cities, omitted).One is the superiorecol ogical environment.XX blue,clea r, green, water, air, 70% of land in the territory is cov ered with forests, grasslands, wn dietlands a nd waters, built 7 thousands of square kilometers of the totalarea of nature reserves.Within major industrial pollution sources, air quality at thenational level,national levels, waterq