2. Given a unity feedback system with open-loop transfer function s+40s-I) a) For K-1, derive the...
A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion. A unity feedback control system has the following open loop transfer function, K L(s) .If K 10, evaluate the stability condition of the system using the s(s-1) Nyquist stability criterion.
A unity feedback control system has the open loop TF as: \(G(s)=\frac{K(s+a+1)(s+b)}{s(s+a)(s+a+2)}\)a) Find analytical expressions for the magnitude and phase response for \(\mathrm{G}(\mathrm{s}) .\left[K=K_{1}\right]\)b) Make a plot of the log-magnitude and the phase, using log-frequency in rad/s as the ordinate. \(\left[K=K_{1}\right]\)c) Sketch the Bode asymptotic magnitude and asymptotic phase plots. \(\left[K=K_{1}\right]\)d) Compare the results from \((a),(b)\), and \((c) .\left[K=K_{1}\right]\)e) Using the Nyquist criterion, find out if system is stable. Show your steps. \(\left[K=K_{1}\right]\)f) Using the Nyquist criterion, find the range...
2. A unity feedback system has the following open-loop transfer function -0.5s + 0.5 G(s)i a) Obtain the Nyquist plot and analyze the stability of the closed loop system b) Compute the stability margins from the Nyquist plot.
please answer all parts and show the related work. thank you! especially the matlab parts! 1. The open loop system G()l be placed into a unity feedback system s2(s+1) as shown below. a. Sketch the Root Locus of G(s) by hand and compare your results with Matlab. Include your sketch and the Matlab plot. b. This system is unstable for all positive values of K. Explain why. c. Show with a hand sketch and Matlab plot of the root locus...
Problem 4: Given L(s) = K(8 + 1) s(s+3) (a) Use method 2 to sketch the Nyquist plot of L(s). Do not include the pole at s = 0 in the RHP contour (i.e. assume P = O unstable open-loop poles). Note: The Bode phase function is not monotonic, but you may still use method 2. (b) Using the Nyquist stability criterion, determine the range of positive K values that will result in closed-loop stability. (c) Repeat (a) and (b),...
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. (10 pts) b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. (7 pts) c. Calculate the frequency...
2. Consider a unity feedback control system whose open-loop transfer function is K(s-2) G(s) (s+1)(s +6s +25) Using the R-H stability criterion, determine the range of K for stability. Assume that K > 0. (30pts)
The open loop transfer function of an electro-mechanical system with unity feedback is: 24K G(s) S(s+2)(s +6) The Nyquist diagram of G(s) has a shape similar to the one shown below Nyquist diagram Cl When K -1, calculate both the frequency and the gain at which the plot crosses the real axis Hence state the gain margin or critical gain Kc for this system. If K is chosen as K-0.2Kc, show that the gain G(jo) l at a frequency ω-1.308...
4. Consider a unity-feedback control system with the following open-loop transfer function: G(s)3 Sketch a Nyquist plot of G(s) and examine the stability of the system.
2:50 PM Sun May 12 89%- X 2012 Spring All Exams.pdf 5. (30 pts) A unity feedback system has the loop transfer function shown below. a) Draw the complete Nyquist HG(s)-plane plot for both small K and large K. Use the Nyquist Path which encloses the pole of HG(s) that is at the origin. No other path will be accepted. b) Determine whether the closed loop system is stable for both small K and large Argue in terms of the...