Modern Control Engineering
290 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method Note that once we have some experience with the met ...
Section 6–3 / Plotting Root Loci with MATLAB 291 K(s+ 3) +– s(s+ 1)(s (^2) + 4 s+ 16) Figure 6–15 Control system. If it is desir ...
292 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method − 2 0 Real Axis Imag Axis −6 −4 2 4 6 0 − 2 6 4 2 − ...
Section 6–3 / Plotting Root Loci with MATLAB 293 EXAMPLE 6–4 Consider the negative feedback system whose open-loop transfer func ...
294 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method Real Axis –4 –3 –2 –1 0 1 2 3 4 Imag Axis 4 –1 3 –3 ...
Section 6–3 / Plotting Root Loci with MATLAB 295 ru B y A C D xx• +– ++ + + Figure 6–19 Closed-loop control system. In this ex ...
296 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method 0 jv jv vn vd f s 0 s 0.2 0.2 0.5 0.5 0.7 0.7 0.8 0 ...
Section 6–3 / Plotting Root Loci with MATLAB 297 distance of the pole from the origin is determined by the undamped natural freq ...
298 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method 0.5 0.707 0.5 0.707 ωn = 1 ωn = 0.5 ωn = 2 − 3 −2.5 ...
Section 6–3 / Plotting Root Loci with MATLAB 299 Conditionally Stable Systems. Consider the negative feedback system shown in Fi ...
300 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method In practice, conditionally stable systems are not d ...
Section 6–3 / Plotting Root Loci with MATLAB 301 To obtain a root-locus plot with MATLAB, enter the numerator and denominator as ...
302 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method of the G(s)H(s)plane, as shown in Figure 6–28. [Not ...
Section 6–4 / Root-Locus Plots of Positive Feedback Systems 303 Notice that since the pole–zero configuration is symmetrical abo ...
304 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method C(s) G 1 (s) H 1 (s) R(s) H(s) +– ++ G(s) Figure 6– ...
Section 6–4 / Root-Locus Plots of Positive Feedback Systems 305 Other rules for constructing the root-locus plot remain the same ...
306 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method 5 – 4 – 3 – 2 – 112 s jv 0 j 1 j 2 j 1 j 2 Figu ...
Section 6–4 / Root-Locus Plots of Positive Feedback Systems 307 whereGH is the open-loop transfer function. In Table 6–2, the ro ...
308 Chapter 6 / Control Systems Analysis and Design by the Root-Locus Method 6–5 Root-Locus Approach to Control-Systems Design P ...
Section 6–5 / Root-Locus Approach to Control Systems Design 309 G 1 (s) G 2 (s) H(s) Gc(s) (b) + + Gc(s) G(s) H(s) (a) + ...
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