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[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Chec...
Can someone help me with problem 4? You dont need to find the answers for problem 6. Just use the transfer function from problem 6 to do problem 4. 6. Given the unity feedback system with the forward transfer function KG)H(s + 2)(s + 10) a) b) c) d) e) Sketch the root locus Find the breakaway point Find the gain at the breakaway point If one of the poles of the closed-loop system is at s--11, find the other...
I need help with this, provide clear answers, please. Thanks in advance. By gain compensation, the following system operates with a 19.3% overshoot when K- 281.69, Design a lead compensator to reduce the percentage overshoot to 10% and reduce the settling time by 1 sec. R(s) C(s) 4 +6)s +8) (c) Fill out the table below. (d) Simulate the step response to validate if the design goal is met. Compensated system with the lead compensator Uncompensated system Overall gain Dominant...
I have no more posting for this month, please solve these for me thanks 1. Given the following unity feedback system where s+z s2 (s + 10) and the controller is a proportional controller Ge = K, do the following: a. If z = 2, find K so that the damped frequency of the oscillation of the transient response is 5 rad/s. b. The system is to be redesigned by changing the values of z and K. If the new...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
please help answer all the question and dont skip. Thank you! 1. Sketch the pole-zero diagram for the following transfer function. Ensure you label the axes and the pole-zero locations. Assume a > b > 0. TF(s) = (s + a) s(s+b) 2. If the time constant of the lowest frequency pole in a system is 1 second, after approx- imately what period of time following turn-on could the system be considered to be in steady-state conditions? 3. The PID...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
2- The following requirements are given for a second-order system that is described by the transfer function s2+25Wnstwa Maximum overshoot: 5% <P.0.< 15% Settling time: 5s < 75% < 10s Peak time: tp < 2s (a) Describe and sketch the s-plane regions of the pole locations satisfying the requirements. (20pts) (b)Determine the largest and smallest possible peak time of a system with the poles satisfying the requirements. (10pts) Hints: Im(s) cos =-5 10, vi Res P.O.=100e 1-3 16 wn, tp
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential and algcbraic equa tions: (a) Determine the transfer function of the process. (b) It is proposed to control the process using "proportional control": where yr is a constant reference value. Determine the value Kmir for which the gain K must exceed in order that the closed-loop system be stable. (c) Determine the value of K for which the magnitude of the error is less...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...