2(4 Ô c$xa5 - mae cuhk › ~bmchen › west › alaska › dao_mixed.pdf · 2020-04-30 · 2(4 ;...

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Page 1: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

2019 No.1 All About Systems and Control

1ren di tian dao x x x x

论道法自然与

全状态反馈控制系统之关系

Page 2: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

2

3

4

5

6

7

ren di di tian tian dao, ,x x x x x xren di di tian tian daodi tiandi tianx x x x x xren di di ian tian ddi an tdi tiananx x x xx x x xdi di i i

ren ren

di di

tian tian

dao dao

0 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 1

x xx x

ux xx x

renxren 00renren

00dixdix 000xti 00tianxtianxtian 00

000daoxdao

ren

di

tian

dao

xx

xxx

x

dao ( )x u f xdaox u fdao uu

daox u F xdaox u Fdao uu

2 2 4 3 24 ( ) ( 0.7654 1)( 1.8478 1) 2.6132 3.4143 2.6132 1B s s s s s s s s s

Page 3: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

2019 No.1 All About Systems and Control

9

10

84 3 2

B 2.6132 3.4143 2.6132F

ren

di4 3 2B

tian

dao

2.6132 3.4143 2.6132

xx

x u F xxx

Bx u F xBu F xu

4 3 2L 4 6 4F

Page 4: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

11

ren

di4 3 2dao L

tian

dao

4 6 4

xx

x u F xxx

daox u Fdao u Fu

4

Page 5: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 6: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 7: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 8: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 9: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 10: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 11: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 12: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 13: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 14: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
Page 15: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

x x x x

x xx x

ux xx x

x x x x x x

x yx y

Page 16: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

x

xx

xxx

x u f x

x u F x

Page 17: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É
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B s s s s s s s s s

S. Butterworth, On the theory of filter amplifiers, Wireless Engineer, vol. 7, pp. 536–541, 1930.

Page 20: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

F

x u

F xxxxx

x x x x

Page 21: 2(4 Ô c$XA5 - MAE CUHK › ~bmchen › west › alaska › Dao_Mixed.pdf · 2020-04-30 · 2(4 ; Ô c3â W ¡0Y L Ä2 Å Ä3 Å Ä4 Å Ä5 Å Ä6 Å Ä7 Å 6¨5Õ Í Q9¬,É+y Í+y,É

x u F x

x x x x

F

Z. Lin, Low Gain Feedback, Springer, London, 1999.

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