Modern Control Engineering

470 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Resonant Peak Magnitude Mrand Resonant Freq ...

Section 7–7 / Relative Stability Analysis 471 It is noted, however, that in practical design problems the phase margin and gain ...

472 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method In the following, we shall summarize the co ...

For the standard second-order system shown in Figure 7–73, mathematical rela- tionships correlating the step transient response ...

474 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method response, the damped natural frequency in t ...

Section 7–7 / Relative Stability Analysis 475 dB 0 20 0.33 I I I II II II 1 1 1 1 v (in log scale) (a) (b) (c) 0 0 r(t) c(t) r ...

476 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method MATLAB Approach to Get Resonant Peak, Reson ...

Section 7–8 / Closed-Loop Frequency Response of Unity-Feedback Systems 477 Figure 7–79. The resonant peak is obtained as 5.2388 ...

478 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method The magnitude of the closed-loop transfer f ...

Section 7–8 / Closed-Loop Frequency Response of Unity-Feedback Systems 479 4 – 3 – 2 – 1 01 2X M= 1.2 Y M= 1.3 M=^1 M= 1.4 M= ...

480 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Constant-Phase-Angle Loci (NCircles). We sh ...

Section 7–8 / Closed-Loop Frequency Response of Unity-Feedback Systems 481 3 3 3 2 2 1 1 1 2 2 X Y a= 20 ° a= 30 ° a= 40 ° ...

482 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method peak value Mrand the resonant frequency vrc ...

Section 7–8 / Closed-Loop Frequency Response of Unity-Feedback Systems 483 RC+– G 0.25 dB 0.5 dB 1 dB 2 dB 3 dB 4 dB 5 dB 6 dB 9 ...

484 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method the Bode diagram. Figure 7–85(a) shows the ...

Section 7–8 / Closed-Loop Frequency Response of Unity-Feedback Systems 485 |G | in dB G 15 10 5 0 5 10 15 180 ° – 150 ° – 120 ° ...

486 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method 7–9 Experimental Determination of Transfer ...

terms as 1+jAv/v 1 Band1+2zAjv/v 2 B+Ajv/v 2 B^2 become unity as vapproaches zero, at very low frequencies the sinusoidal transf ...

488 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Nonminimum-Phase Transfer Functions. If, at ...

A Few Remarks on the Experimental Determination of Transfer Functions 1.It is usually easier to make accurate amplitude measurem ...