Q1. Consider the unity feedback control system whose open-loop transfer function is: G(s): = 40(S+2) s(s+3)(s+1)(s + 10) ELECTRIC Ziegler-Nichols, By using second method of Ziegler- Nichols, calculate the PID, PI-D and I-PD parameters and make tuning for this parameters to get accepting response for the following system, then comp controllers? PARTME then compare your results for all types GINEARI

Consider the total harmonic distortion of a closed loop system is 5%. Distortion without feedback is 10%. Calculate the sensitivity of closed loop system.

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The block diagram representation of a tachometer feedback speed control system is shown in Figure 4. R(s) + 15.5 C(s) s+1 Tachometer Ko Figure 4 (i). Develop the closed loop transfer function. (ii). Evaluate the value of DC gain K and the time constant T with the assumption of tachometer feedback variable Ko. (ii). The system step response is represented by y = K(1 – e), sketch the step response curve for the system when the tachometer feedback variable Ko. (iv). Write a general MATLAB codes to reduce the block diagram into a single feedback control system, to calculate transfer function and to obtain unit step response and impulse response. (v). Comment on the step response curve which is obtained in (i) and (iv) with respect to K and time constant T. ko=2 k1=2.2 Note: Refer the Table for Ko and K, values.

QUESTION 1 A unity feedback system has open loop transfer function shown below. Find K1 so that the damping ratio = 0.4 and the peak time t,=2 seconds. Here the peak time tp = wa K1 s+ KzK2) HG(s) =

Explain how the Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system. Formulate the criterion for a system with no right-half plane open-loop poles. Q4 (a) Continued overleaf Page 4 of 10

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this question is under control system design subject

Q2) Consider the following feedback system outlined in Figure Q2 Plant R(s) + 10 1 C(s) S+ 1 K, Figure Q2 a) Derive the closed loop transfer function GRC (S). b} Calculate the value of Ky that will result in the closed loop system to have a maximum overshoot of 35% and a peak time of approximately 1 second. c) For the following systems assume zero initial conditions. Determine i) The peak overshoots. ii) Corresponding peak times iii) Decay rate characteristics. Produce a sketch of the unit step response using the above values calculated.

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Please solve this problem I do not understand If my answer is true, solve it clearly please as my question is clear and plot whatever is needs.

Aunity feedback system has the following open-loop poles: -2+j1, -2-j1, -0.2. The angle of departure from the complex pole is calculated as Answer: