12 O PLx) Gg(1) RLA) CLA GR) (C) م 6:56 2024-11-23 1 G45) Figure 1 (a) Cascaded system; (b) parallel system; (c) feedback (closed loop) System. To obtain the transfer functions of the cascaded system, parallel system or foudback (closed-loop) system, the following commands may be used: 1) Series connections We can use the series function to cascade two transfer functions G(s) and C(f), as shown in Fig. 2. The resulting transfer function,T(s) is Ο

Pls solve in detail by hand.

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

a) An operational amplifier with non-inverting voltage feedback is given in Figure Q4.a. It has the following properties: Vin + 1 kQ Figure Q4.a Open loop gain: 100,000 Open loop output impedance: 400 Open loop bandwidth: 10 Hz Calculate: 1) The closed-loop voltage gain 2) The closed-loop output impedance 3) The closed-loop bandwidth Vout 99 ΚΩ R₁

An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback. a.  Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 40% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = -10).Show all the complete solution.

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.

If in the oscillator block diagram shown in Figure, = 0.1V, A = 100 and m = 0.01, then the circuit will. V₁ mVo Voltage Gain A Feedback Circuit V

Consider the following feedback amplifier circuit. Assume lambda= 0, VDD RD2 R01 VinM₁ M₂ -Vout Select one: O a. none of these R₂ the open loop input resistance RinoL and the closed loop input resistances RincLare respectively: O b. RinoL = 1/gm and RincL= 1/gm(1+kA1) O C. RinoL = ∞o and Rincl= (1+ KA1) d. RinoLand RinCL = 00

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8. For the collector feedback configuration, determine : +16 V (a IB (b) Ic () Vc 3.6 kQ 470 k2 Vc IB B = 120 0.51 k2