1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
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. For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
Problem : Consider the systems A and B whose roots are shown below BI 1. Regarding stability, the systems are a) b) c) d) Both stable Both unstable A is unstable and B is stable A is stable and B is unstable 2. The responses of the systems to step input are characterized as follows: a) Both are underdamped b) Both are overdamped c) A is underdamped and B is overdamped d) A is overdamped and B is underdamped 3....
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural frequency, on b. Damping ratio, c. Maximum percent overshoot (assuming a unit step input) and time to peak Note: Submit graph with proper labeling 6 Y(s) G(S) = s(0.3s+ 1) U(s) 1 Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
(b) The unity feedback system is given as in Figure Q3 (b). (i) Determine the closed loop transfer function of the system. (2 marks) 2 CONFIDENTIAL CONFIDENTIAL BEJ 20503/BEH 30603/BEF33003 (ii) Calculate the damping ratio š, peak time Tp, rise time Tr, percentage of overshoot%\ls and settling time Ts (5% criterion) of the system. (11 marks) Investigate the characteristic of the system response. (1 marks) (iii) R(s)+ E(s) C(s) 25 s(s + 6) Figure Q3(b)
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
Given a 2d order underdamped system as shown below, find the following: 10 s)=s2 + 5s + 10 Find: Natural Frequency, Damping Ratio, Peak Time, settling time, Percentage of overshoot %OS
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G (s) =...