3. [2 pts] For the system illustrated in Figure 2, Kp 10, bm 420, am 60....
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Wis) R(s u(s) 14 Gl(s) H(s) Given a system as in the diagram above, where K is an adjustable parameter pl(s) Dal(sKp+ g) Assuming W-0, find the transfer function Y(s)/R(s) h) Assuming R-0, find the transfer function Y(s)/W(s) i) What is the type of the system (with respect to steady-state error)? j) What is the steady-state error when rt)u(t) (unit-step) and w(t)-0 k) What is the s.s. error when r(t) t u(t) and w(t)-0 ) Assume r(t)-0, what is the...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: the gain crossover frequency wc should be between w1 and w2. the steady-state error should be zero in response to a unit step reference. the velocity constant should be greater than Kv (in other words, the steady-state unit...
Problem 51: (25 points) Figure 5 is an example of a feedback control system that is designed to regulate the angular position θ(t) of a motor shaft to a desired value θr(t). The signal e(t) represents the error between the measured shaft angle θ(t) and the desired shaft angle θ (t). The Laplace transforms ofa,(t), θ(t), and e(t) are denoted as ΘR(s), θ(s), and E(s), respectively. The control gains Ki and K2 are chosen by the control engineer to achieve...
The Class Name is: MAE 318 System Dynamics and Control I Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: the gain crossover frequency wc should be between w1 and w2. the steady-state error should be zero in response to a unit step reference. the velocity constant should be greater than Kv (in other words, the steady-state unit...
PROBLEM 2 A negative unity feedback control system is illustrated in Figure 2. For which interval of values of p and K the system is stable? R(s) Ks + 1 Y(S) Figure 2: A unity feedback control system
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane. In the figure below given is the block diagram...
(This problem requires MATLAB to solve.) Figure 1 shows a basic block diagram of an open loop control system with Ea(s) representing the reference input and TL(s) representing the load-torque disturbance input. Its transfer function between the speed output and the disturbance input is described by the equation Please develop a Simulink model to simulate the speed output response due to a step disturbance input of 0.1Nm at t=2s with the values provided in table 1. (Use Ea=10 and Ea=20...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...