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- You are tasked to enhance the performance of an analog plant using a digital controller PID. The controller is in connected in series with the plant in a closed-loop configuration. The pulse transfer K(z+a) function is given as GzohGp(s) =- Use sampling time Ts=0.6 second, K=8, a=0.78, b=-0.602 (0+z)(q+z) and c=-0.705. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of 3 second, and damping ratio of zeta (z=0.705).lg dlngis In bode plot, the value of phase of G(wj) at the gain crossover frequency is -125 degrees, the PM of the *:systemis 55 degrees -55 degrees 125 degrees O OO0O0 -125 degreesQ2. The application glven as In figure A &B can be realized by using an ultra-sonic sensor. Also explain how triangulation method can be used for the same. Using sultable diagrams, explain the process of operation elaborately. Hll semor Oututpu tan s be courted tita) Figure A Soo: SENSOR OUT Figure B
- Q) Find rate of information transmission over a discrete channel (Dt) for: When P (x1) - P(x2) – P(x3); rd -1200 symbol/sec. 0.5 0.5 0.25 0.25 0.5 ys 1 yeThe armature current of a de machine is controlled with a feedback loop. The following is known about the machine: KPWM = 12 (PWM converter gain) Te = 16 ms (electrical time constant) R = 2.0 2 (Armature resistance) %3D Assuming a PI controller that cancels the electrical time constant is used, what is the proportional time constant in terms of the integral time constant (Kp)? KI 16m K (16m K + 1) 1 16m 1) KI \15004. Consider the time-space diagram shown below. For the signals shown, what is the NB bandwidth? а. 15 seconds b. 20 seconds c. 30 seconds d. 60 seconds SIG 4 3,000 SIG 3 2,500 2,000 1,500 SIG 2 1,000 - 500 SIG 1 30 60 90 120 Time (s) Figure. Time-space diagram Distance (ft)
- 5. Sketch the following function in frequency domain plot: i. Y(t) = 3 sin (4лt) + 4 cos (4 лt) ii. Y(t) = 12 sin (10nt) + 5 sin (20лt) + sin (100лt)Question 10 An open loop transfer function has the Bode plot depicted below. Magnitude (dB) Phase (deg) 0 -20 -40 -60 -80 -100 0 -45 -90 -105 -135 -164 -180 10-1 10⁰ Bode Diagram 10¹ Frequency (rad/s) Which of the following statement(s) are true: A. The gain margin is 40dB OB. The phase margin is infinite OC. The phase margin is 16 degrees D. The gain margin is -40dB E. The closed loop system is unstable OF. The gain margin is infinite OG. The phase margin is-16 degrees 10²H-W Find Time response for 2S+3 Yes)= s° (s+3)
- Problem 1.3 The signal x(t) is defined as r(t) = 4 cos(wt – -) – 3sin(wt+=). (a) Find the numerical values of A and o to express x(t) as x(t) = A cos(wt +ø). (Hint: Recall phasor addition discussion) (b) Plot all of the phasors from part (a) in the complex plane. Label the plane axes.This course EHide blc Clear my choice For the shown system, Use the Routh criterion to determine the range of stability relative to the gain K. Note that K is always positive K>0. Type a, b, c, d, e or f R(s) C(s) K(s² + s) (s² –2s+ 2)(s + 2) a) K > 2 b) K > 1.236 c) 1 3.236 e) – 2 < K < 2 f) not stable for any K Answer: What's the maximum percent overshoot %OS for this system with its closed-loop poles as shown? jo j8 j62. ▷522, 258px yağ-kütle sönümleyici sistemi aşağıda verilmiştir. 771- 10 kg. b 30 N-s m. k 1000 Nm. P-10N and ws= 2 rad/s if what is the steady state response at the output - v(t) = ? input p(t)=? COD N p(t)=P sin cr 661 x 308px Boyut: 57.4KB Casper