Partial Question 5 10/15 pts Given the poles of a transfer function are -2+5j and -2-5j,...
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...
Automatic Control IV Question 4 The transfer function of a servo system has the transfer function given by: A vibrating spring-mass system has the feedback control system shown in Fig Q4 below. R(S) - _K s(s+2) Fig 24 If K = 12.25 determine: 4.1 the transfer function C(s)/R(3) 4.3 the un-damped natural frequency of the system 4.4 the damping ratio 4.5 the damped natural frequency 4.6 the maximum percentage overshoot 4.7 the peak time 4.8 the settling time for the...
Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine the range of values of K that render the system underdamped Pick one of those values of K (of your choice) and determine 1. 2. 3. 4. a. Percentage overshoot b. Settling time c. Peak time Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the damping ratio, 5, natural frequency, 0,, settling time, T., peak time, T, and percent overshoot, %OS. Report the kind of response expected. P
For the circuit obtain the transfer function E (0) / E (i) and determine the values of the resistors and capacitors such that the system has a relative damping factor of 0.7 and natural damped frequency of 5rad / sec Draw the entrance and exit in front of the entry and exit time for a unit ramp Find the times ts, tp, tr (for a criterion of 2%) and overshoot of 4% relative damping factor of 0.7 natural damped frequency...
Do only parts C and D 1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
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....
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R and L values to make the natural frequency 8 rad/sec and the damping ratio 0.75 if C-0.01F a 2 Vi R.
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
Nip rolls Bridle Surface winder Center-driven feedback Figure 5 Question 2 (20 marks) The feed forward transfer function of an automated manufacturing process is given by K(s + 3) where K is the proportional controller gain. The root locus is shown in Figure 6 a) Determine the range of values of K for which the closed loop system will exhibit an (10 marks) oscillatory response. b) Determine a value of K that gives a damping ratio,-0.707 and a settling time,...