opt A : (Angles ofas tes PA (c)Free sketch nt- Locus (d) Value of k when...
K(s+2) 2) Sketch the tot locus of closed loop system with openloop D (s)G(s) = s +2s+3. a. sketch real root locus b. find the asymptotes c. find the departure angles of complex poles d. sketch the root locus to the best of your ability e. Use matlab rlocus () to confirm your sketch (include a print out of your plot)
Sketch the complete root locus (including locations of repeated poles, asymptotes, arrival/departure angles, and jw axis crossing) and find the range of stable gains (K in Figure 1) for each of the following transfer functions: s+2 (a) G(s) (b) G(s) +0.1 +2s42b) Go)05 +15) s(s + 0.1)(s2 + 2s + 2) s +30) (s2- 20s+200) R(s)+El(s) s(s2 + 2s + 2)(s + 5)(s + 15) (c) Gs)(+100+20) (d) G(s) (c) G(s) U(s) Y(s) Figure 1
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21 (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
Given the systems below, sketch the root locus: R(S) K C(s) s(s+2)(s+5)
3. Roughly sketch the root locus plots for the pole-zero maps as shown in the figure below. Show your estimates of the centroid α, angles of the asymptotes, and the root locus plot for positive values of the parameter K. Each pole-zero map is from a characteristic equation of the form: b(s) a(s) a) b) c) d) e)
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the damping ratio of a pair of dominant complex-conjugate closed-loop poles is 0.5. Ri)1 C(s) 3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot...
Given the systems below, sketch the root locus: a. (35pts) R(S) C(s) K(+1) s(s+2)(s+5)
sketch the root locus of the system whose open loop transfer function is given by C(s)/ R(s)=k/(s(s+4)(s2+s+1)+k)
sketch the root locus of the system whose open loop transfer function is given by C(s)/ R(s)=k/(s(s+4)(s2+s+1)+k)