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• ### PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with...

PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.

• ### E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b)...

E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1? E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...

• ### 1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be...

1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...

• ### 2. Consider a unity feedback system, where (5+5 marks) P(s) = 5+1 K(s) = 548 Find...

2. Consider a unity feedback system, where (5+5 marks) P(s) = 5+1 K(s) = 548 Find values of a and B that assure (a) Zero steady-state error to a step command. (b) Steady-state error to a ramp command less than 0.01.

• ### K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Sele...

K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error K and consider a PI s+4 A unity feedback system has an open loop...

• ### Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...

Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...

• ### Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity...

Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....

• ### A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...

A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the steady-state error for a unit step input b) Design a PI control to reduce the steady-state error to zero without affecting its transient response c) Evaluate the steady-state error and overshoot for a unit step input to your compensated system A unity feedback system with the forward transfer function G(s) is operating with...

• ### 14. The unity feedback system of Figure P1 1.1 with K(s+ 4) (s+2(s+5)(s+12) G(s) is operating...

14. The unity feedback system of Figure P1 1.1 with K(s+ 4) (s+2(s+5)(s+12) G(s) is operating with 20% overshoot. [Section: 11.4 a. Find the settling time b. Find Kp c. Find the phase margin and the phase-margin frequency d. Using frequency response techniques, design a compensator that will yield a threefold improvement in Kp and a twofold reduction in settling time while keeping the overshoot at 20%.

• ### Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...

Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...