EBK PRINCIPLES OF ELECTRIC CIRCUITS
10th Edition
ISBN: 9780134879499
Author: Buchla
Publisher: YUZU
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Chapter 2, Problem 14TFQ
A resistor labeled 0R1 is 1 ohm.
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2. A system with unity feedback is shown below. The feed-forward transfer function is G(s), where
5
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G(S) = (+1) Sketch the root locus for the variations in the values of pi.
(s+P1)s
R(s)
C(s)
G(s)
Chapter 2 Solutions
EBK PRINCIPLES OF ELECTRIC CIRCUITS
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- 3. The following closed-loop systems in Fig. 1 and Fig. 2 operate with a damping ratio of 0.707 (=0.707). The system in Fig. 1 does not have a PI controller, while the one in Fig. 2 does. R(s): S Gain Plant R(s) + E(s) 1 C(s) K (s+1)(s+2)(s+10) Fig. 1: Closed-loop system without PI controller Compensator Plant R(s) + E(s) K(s+0.1) S 1 (s+1)(s+2)(s+10) C(s) Fig. 2: Closed-loop system with a practical PI controller a. Please use Matlab to find the intersection point between line and the root locus of the system in Fig. 1. Then find the K value and one complex closed-loop pole corresponding to the intersection point. Calculate the steady-state error. Show the Matlab code in your answer sheet. b. Please use Matlab to find the intersection point between § line and the root locus of the system in Fig. 2. Then find the K value and one complex closed-loop pole associated with the intersection point. Compare the complex closed-loop pole with the one you just found in task a. Are they very…arrow_forward1. Please draw the root locus by hand for the following closed-loop system, where G(s) = s+6 = S-2 s+8 s-2' and H(s) = Find the range of K for stability using Method II in Examples 2 and 3 in Lecture 15. Input R(s) Output C(s) KG(s) H(s)arrow_forward9-1) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct a signal g(t) from its samples. The impulse response of this circuit is h(t) = A ( 2Ts 12 where Ts is the sampling interval. Consider a typical sampled signal ğ(t) and show that this circuit performs the linear interpolation. In other words, the filter output consists of sample tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2 (Fig. 5.6) for a typical signal g(t). (b) Determine the transfer function of this filter and its amplitude response, and compare it with the ideal filter required for signal reconstruction.arrow_forward
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