Calculate the gain K of the proportional controller to have a damping ratio: zeta=0.25 U(s) Y(s) Answer: K 1 s² + 2s + 1
Q: Can you explain how you got the 25 for I when calculating p3?
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- Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF C33 Determine the natural angular frequency, the damping factor, the rise time, percentage overshoot and 2% settling time for systems with the following transfer functions: (a) 100/(s + 4s + 100), (b) 49/(s + 4s + 49). * Note (that the question relates to control system)H(z)=(4(1-(5e)^(j π/4) z^(-1))(1-(5e)^(-j π/4) z^(-1))(1-2z^(-1)))/( (1-1/4 z^(-1))(1-0.5z^(-1))) Find zeros and poles of the system Is this system stable? Explain your answer Determine the system output when the input is Determine the system output when the input is x(n)=cos π/4 n
- y[(t) = {3e-2t, t0 {0, otherwise The function above defines a voltage signal y(t) monitored from a pacemaker. a.Make a sketch of the signal & state if it is non-causal/causal, aperiodic/periodic & odd/even. b. y[n] = 6cos2(πn/4) The above defines a discrete time signal y[n] from a device. Determine the four point DFT of the sequence.For the system shown in the attached image, assume A = 1300 and n = 860. Draw the root locus for K > 0 and find the range of K for closed-loop stability when:i. G(s) = Kii. G(s) = K(s + 200) / (s + 1000)QU A simplifid mde of the longindinal mevion ofacetin helcopicr ear (s? =055 +63) (s + 0.66)(s* — 0.24s +0.15) and the characteristic equation 1 + K D,(s)G(s) = 0. Let D(s) % ‘Sketeh the root locus for the modified controlled system. Guess the intersection ‘points with the Imaginary axis
- Can the following functions be power spectra of some random processes? Justify your answer. (a) ω /1 + ω2 ; (b) cos(3ω+π/4); (c) e −|ω+1| ; (d) e −|ω| ; (e) 2 / (ω − 1)2 + 3 + (2 /(ω + 1)2 + 3)) .(need only handwritten solution .otherwise downvote.)Solve for the circuit below, given the values specified. (Es = 10V, f = 10 KHz) , R1=120 C1=0.2 μF. 1. XC= 2. IC= 3. VC4. VR= 5. PR=6. Z= 7. IR = 8. VA= 9.IT= 10.PT= 11. Pf=2. Write an OCTAVE program to plot the signal given below P=Pmax Sin(2πft); where Pmax=10 MW, f=60 Hz Find out time.peniod and verify it with graph. Assume necessary data.
- MATLAB code with output- Refer Book Electromagnetic theory by Mathew. N.O. Sadiku-7th edition - Chapter 13-Problem 13.39The closed loop pitch rate control of an airplane operating at a certain altitude and sound speed is shown in the following blog diagram as a representation. Features expected from this system ωIt is known that n>2 and ζ≥0.15. Accordingly, G Assuming c(s)=K, find the K value corresponding to the maximum ζ value that can be used by plotting the root-locus curve of this system. It should be taken into account that the system should be stable.Which of the following functions is most suitablein stability analysis? a.unit impulse b.unit step c.parabolic d.ramp