Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The values of the undamped natural frequency ωN and damping ratio ξ of the closed-loop poles. 3. The expressions of the rise time, the peak time, the maximum overshoot, and the 2% settling time due to a unit-step reference signal.
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The...
Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final value. ii) poles dominate and determine the overshoot and settling time to within 2% Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...
Partial Question 5 10/15 pts Given the poles of a transfer function are -2+5j and -2-5j, determine natural frequency 5.39 damping ratio 0.372 damped frequency 5 Peak Time (sec) 0.628 % Overshoot 2 Settling Time (sec) 28.46
Topic: Second order system 4. pts) For the linear system with a block diagram shown: a. Find the closed loop transfer function C(s)/R(s) b. Find the value of K and the location of the poles C(s) R(s) for a damping ratio equal to 0.5 S+0.8 c. When the input is a unit-step and the damping ratio is 0.5 Find Peak Time (Tp), Maximum Overshoot (Mp) and Settling Time (Ts)
Closed-loop system response and characteristics, Proportional gain 10 < paste transfer function Ts as output from Matlab here> clear all: close all: ls J = 0.022R = 0.11;K = 0.02;R 1.5;L= 0.6; Closed loop Transfer function T(s) Cs-10; RRA pole (Tg) 22T zero (Tg) figure ; figure ; teS) characteristics natural frequency damping ratio Dr-abs(real (RpT (2)) ) / ettling time peak time ER忌 overshoot 032=100 rise time Step response of open-loop system: Pole-zero map: easte,pole-zero plot here> Pole-Zero Map...
For the given closed loop system, where: C(s)= 9.43 s+ 9.56 G(s)= 87.84 / ( s2+ 2.94 s+ 9.00 ) Part A: Obtain the rise time of the step response of the plant transfer function G(s). Part B: Obtain the overshoot of the step response of the plant transfer function G(s). Part C: Obtain the 1% settling time of the step response of the plant transfer function G(s). Part D: Obtain the natural frequency ωn of the characteristic polynomial of...
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,...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...