Modern Control Engineering

410 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method at 0 dB, while the high-frequency asymptote ...

Section 7–2 / Bode Diagrams 411 20 10 10 0 f dB 0 ° 90 ° 180 ° 0.1 0.2 0.4 0.6 0.8 1 2 4 6 8 10 v vn z = 0.1 z = 0.2 z = 0.3 ...

412 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method The frequency-response curves for the facto ...

Section 7–2 / Bode Diagrams 413 14 12 10 8 6 4 2 0 z 0.2 0.4 0.6 0.8 1.0 M in dBr Figure 7–10 Mr-versus-zcurve for the second-or ...

414 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method EXAMPLE 7–3 Draw the Bode diagram for the f ...

Section 7–2 / Bode Diagrams 415 40 20 0 20 dB 40 Exact curve 0.2 0.4 0.6 0.8 1 2 4 6 8 10 v 270 ° 180 ° 90 ° 0 ° 90 ° 0. ...

416 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method f 0 ° 90 ° 180 ° G 1 (jv) G 2 (jv) v Figu ...

Section 7–2 / Bode Diagrams 417 0 ° 100 ° 200 ° 300 ° 400 ° 500 ° 600 ° 0.1 0.2 0.4 0.6 0.8 1 246810 vT e–jvT G G(jv)=e–jvT |G ...

418 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method 0 ° 20 10 0 10 20 100 ° 200 ° 300 ° 0 ° ...

Section 7–2 / Bode Diagrams 419 R(s) E(s) C(s) + G(s) Figure 7–16 Unity-feedback control system. dB 20 log Kp 0 20 dB/decade ...

420 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Determination of Static Velocity Error Cons ...

Section 7–2 / Bode Diagrams 421 dB 0 20 dB/decade 40 dB/decade 60 dB/decade v in log scale 20 log Ka v = 1 va = Ka Figure 7–19 ...

422 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method The frequency vaat the intersection of the ...

Section 7–2 / Bode Diagrams 423 MATLAB Program 7–1 num = [25]; den = [1 4 25]; bode(num,den) title('Bode Diagram of G(s) = 25/(s ...

424 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Frequency (rad/sec) Bode Diagram of G(s) = ...

Section 7–2 / Bode Diagrams 425 Frequency (rad/sec) Bode Diagram of G(s) = 9(s^2 + 0.2s + 1)/[s(s^2 + 1.2s + 9)] − 100 − 50 0 50 ...

426 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Obtaining Bode Diagrams of Systems Defined ...

Section 7–3 / Polar Plots 427 Frequency (rad/sec) Bode Diagram − 200 − 50 − 100 − 150 0 − 60 − 40 − 20 Phase (deg); Magnitude (d ...

428 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method MATLAB may be used to obtain a polar plot G ...

Section 7–3 / Polar Plots 429 where Then we obtain Thus, in the X-YplaneG(jv)is a circle with center at and with radius as shown ...