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Introduction to Feedback Systems / © 1999 Önder YÜKSEL EXAMPLE.

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Presentation on theme: "Introduction to Feedback Systems / © 1999 Önder YÜKSEL EXAMPLE."— Presentation transcript:

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2 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EXAMPLE

3 EE Block Diagrams - O. Yuksel 2 Return to example combine cascaded blocks TMTM + - MM MOTOR G1G1

4 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 3 valve MM KvKv MM q0q0

5 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 4 Double tank + - q0q0 q1q1 h1h1 - h2h2 + q1q1 + - q2q2 h2h2

6 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 5 turbine-generator KGKG iFiF vLvL h2h2 GG N TGTG B G +sJ G N q2q2 K G (R F +sL F )N(B G +sJ G )

7 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 6 No more cascaded blocks No parallel blocks 1 feedback configuration comparatormotorvalvedouble tankturbine-generator K + - VRVR VLVL VMVM KvKv q0q0 + - h1h1 - + q1q1 + - h2h2 q2q2 N TGTG VLVL + - MM

8 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 7 Double tank q0q0 h1h1 - h2h2 + q1q1 + - q2q2 h2h2 q1q1 + -

9 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 8 Double tank feedback + q1q1 + - q2q2 q0q h2h2

10 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 9 Double tank q1q1 - h2h2 - q2q2 + q0q0 +

11 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 10 Double tank cascaded q1q1 + - q2q2 q0q0 - h2h2 +

12 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 11 Double tank q1q1 + - q2q2 q0q0 - + cascaded

13 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 12 Double tank feedback + + q0q0 - - q2q2

14 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 13 Double tank - q2q2 q0q0 +

15 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel MM G1G1 ebeb KbKb K + - VRVR VLVL VMVM h2h2 N TGTG VLVL N(B G +sJ G )K G (R F +sL F ) - q2q2 q0q0 + K v /s cascade G3G3 feedback G2G2

16 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 15 feedback + - VRVR VLVL TGTG VLVL K G (R F +sL F ) VMVM q0q0 K K v /s G2G2 + - q2q2 G3G3 N

17 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 16 TGTG K G (R F +sL F ) VMVM q0q0 K K v /s G2G2 VLVL + - VRVR VLVL cascade G4G4

18 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 17 VLVL VLVL + VRVR G4G4

19 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 18 Parameter values Motor êR a =1 êL a =1 êK m =1 êK b =1 êJ M =1 êB M =1 Turbine êN=1 Generator êJ G =1 êB G =1 êL F =1 êR F =1 êK G =1 Valve êK v =1 êB v = 1 Double tank êA 1 =1 êA 2 =1 êR 1 =1 Comparator gain K is the control parameter

20 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 19

21 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 20

22 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 21

23 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 22 t=0:.1:20; for K=5:21; n=K*[1,1,1];d=[1,5,9,K+6,K,K]; step(n,d,t), text(21,0,strcat('K=',num2str(K))), pause,figure(1), end MATLAB simulation

24 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 23

25 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 24 Time (sec.) Amplitude Step Response K=1 K=40 K=10

26 Introduction to Feedback Systems / © 1999 Önder YÜKSEL EE Block Diagrams - O. Yuksel 25 End of Chapter General index Restart section Next chapterRestart chapter End show The End i


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