Chapter 5, Problem 5.62P

Solve this problem and show all of the work

2. A system with unity feedback is shown below. The feed-forward transfer function is G(s), where 5 . G(S) = (+1) Sketch the root locus for the variations in the values of pi. (s+P1)s R(s) C(s) G(s)

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…

1. 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)

9-1) 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.

I have this rough circuit diagram of a 2 double end trolley light system with a 120 dcv power supply. I would like to know in what way is better to connect the interior lights along with the headlight and door light. Provide the circuit diagram and with its respect connection and the estimated total power rated for the lights. Where: Headlights (2) = #1 and #6Door lights (4) = #2, #4, #5, and #7Platform lights (2) = #3 and #8Interior lights are approximately 20 in quantity. Also, can you say if the components that are in series with the power supply are correct or does it need to be replaced with something else or if it is missing any components.

A domestic load of 2300 kW at 0.88 p.f lagging and a motors load of 3400 kW at 0.85 p.f lagging are supplied by two alternators operating in parallel. If one alternator is delivering a load of 3300 kW at 0.9 p.f lagging, what will be the output power and p.f of the other alternator?

9-3) similar to Lathi & Ding, Prob. P.5.2-3 In a satellite radio system, 200 stereo stations are to be packaged in one data stream. For each station, two (left & right) signals of bandwidth 22 kHz are sampled, quantized, and binary-coded into PCM signals. The transmitter then multiplexes the data from the 200 stations into a single stream via TDM and modulates that stream onto a radio carrier using DSB-SC-AM. (a) If the maximum acceptable quantization error is 0.25% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer. (b) If the sampling rate must be 25% higher than the Nyquist rate, find the minimum bit rate of the multiplexed data stream, based on the quantizer of part (a). (c) If 10% more bits are added for error correction and framing, determine the minimum bandwidth of the radio signal sent to the ground receivers.

9-2) similar to Lathi & Ding, Prob. P.5.2-1 A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz. (a) If the Nyquist samples are uniformly quantized into L = 65, 536 levels and then binary-coded, determine the number of binary digits required to encode a sample. (b) if the audio signal has a peak voltage of ±1V and an average signal power of 0.1 V2, find the resulting ratio of signal to quantization noise (SQNR) for the system. (c) Determine the number of binary digits per second (bit/s) required to encode the audio signal. (d) For practical reasons discussed in the text, signals are sampled at a rate well above the Nyquist rate. Practical CDs use 44,100 samples per second. If L = 65,536, determine the number of bits per second required to encode the signal and the minimum bandwidth required to transmit the encoded signal.