2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step ...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Design a controller for the transfer function)5)(1(1)(++=sssGto obtain (i) zero steady-stateerror due to step, (ii) a settling time of less than 2 s, and (iii) an undamped natural frequency of 5 rad/s. Obtain the response due to a unit step and find the percentage overshoot, the time to the first peak and steady-state error percent due to a ramp input
Consider the same plant G(s) Design a controller so that if you desire an angle of r 1 rad, s(s+10) (s+20) (R the actual angle of the motor y(t) has an overshoot less than or equal to 20% and a settling time less than or equal to 0.3s as it is settling down to the steady state angle. Write down the steps you followed in the sisotool (or otherwise), include: i. ii. iii. iv. Your error calculations and calculations for...
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...
(b) Figure Q3(b) show the unit step responscs of a system A and system B, respectively For each system Find the percentage overshoot, % OS and the Peak time, T 6 marks Find the transfer function of both systems (i) [8 marks iii) You have to design a system which operate with settling time less than 5second, overshoot percentage less than 30% and which system will you choose, system A or system B, justified your answer. [3 marks |(ii) 1,5-...
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...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2(b). i. Determine the value Kn so that the damping ratio of the system is 0.5. (1 22 marks) ii. iii. From the result obtained in (i), evaluate the transient response characteristics (rise...
UNIT STEP RESPNSE amplitude 0.05 6 1 5 time (seconds) [1 mark] Indicate your answers/points of reference on the figure clearly for full mark i. Response Type (under-, critical- or over-damped) [1.5 mark] ii. System steady state Gain [1.5 mark] iii. Settling Time iv. The Peak Time [1.5 mark] v. The Percent overshoot [1.5 mark]
Need b and c [Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...