Modern Control Engineering
310 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method It is noted that in designing control systems by th ...
Section 6–6 / Lead Compensation 311 that is stable for small gain but unstable for large gain. Figures 6–35(b), (c), and (d) sho ...
312 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method Notice that This network has a dc gain of From Equa ...
Section 6–6 / Lead Compensation 313 2.By drawing the root-locus plot of the uncompensated system (original system), ascertain wh ...
314 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method The closed-loop poles are located at The damping ra ...
Section 6–6 / Lead Compensation 315 [See Figure 6–40 (b).] In some cases, after the root loci of the original system have been o ...
316 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method Thus, if we need to force the root locus to go thro ...
Section 6–6 / Lead Compensation 317 Figure 6–43 shows the root-locus plot for the designed system. It is worthwhile to check the ...
318 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method or Hence The open-loop transfer function of the des ...
Section 6–6 / Lead Compensation 319 MATLAB Program 6–9, where num1 and den1 denote the numerator and denominator of the system d ...
320 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method designed systems is given in MATLAB Program 6–10, w ...
Section 6–7 / Lag Compensation 321 In examining these response curves notice that the compensated system designed by Method 1 ex ...
322 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method Consider a lag compensator where (6–19) If we place ...
Section 6–7 / Lag Compensation 323 The main negative effect of the lag compensation is that the compensator zero that will be ge ...
324 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method EXAMPLE 6–7 Consider the system shown in Figure 6–4 ...
Section 6–7 / Lag Compensation 325 The angle contribution of this lag network near a dominant closed-loop pole is about 4°. Beca ...
326 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method near the origin. The MATLAB program to generate the ...
Section 6–7 / Lag Compensation 327 Then the lag compensator gain is determined as Thus the transfer function of the lag compensa ...
328 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method we have numc = [1.0235 0.0512] denc = [1 3.005 2.01 ...
Section 6–7 / Lag Compensation 329 t Sec 0510 15 20 25 30 35 40 45 50 Outputs c1 and c^2 50 0 15 5 35 25 30 20 45 40 10 Unit-Ram ...
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