Homework Answers
Hello,
Please find the answer to the
first question attached below. If the answer has helped you please
give a thumbs up rating. Thank you and have a nice
day!
Out of the 2 given processes, the slower one should be placed in
the inner loop, so that it does not slow down the faster dynamics
of the outer loop. In this case, both the transfer functions are
the same except for the delay parameter in G2(s). Thus, G2 should
be placed in the inner loop.
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Given the control loop above, determine the Kp gain for the
Gc(s) for a given G(s) and design requirements.
Peak Time (Tp) = 1/2 second
Settling time (Ts) = 1 second
G(s) = 1/ ( s^2 + 5s + 5.25)
Design the PID controller to have two-distinct roots. Assume the
angle for (one root) Z1 = 30 degrees.
QUESTION 1 10 points a Answer R(s) C(s) G.(s) G(s) Given the control loop above, determine the Kp gain for the Gcis)...
R(s) C(s) G (s) G(s) Given the control loop above, determine the Kd gain for the Gc(s) for a given G(s) and design requirements. Peak Time (Tp) 0.25 second Settling time (Ts) 0.8 second G(s) 1/s211s28) Design the PID controller to have two-distinct roots. Assume the angle for (one root) Z1 30 degrees.
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Given the control loop above, determine the overall gain K for
the Gc(s) for a given G(s) and design requirements.
Peak Time (Tp) = 0.2 second
Settling time (Ts) = 0.25 second
G(s) = 1/ ( s^2 + 10s + 221)
Design a Dual PD controller to have two-distinct roots. Assume
the angle for (one zero) Z1 = 10 degrees.
R(s) C(s) G(s) G(s) Given the control loop above, determine the overall gain K for the Gc(s) for a given...
A process with potential instability due to resonance is described by the transfer function G(s) where α is a small value limited to the range 0 α-1. Compensated Process Process X(s) : Y(s) kp P-control Phase-lead Compensator Figure 1: A process with potential resonance instability with a phase-lead com pensator and a P-controller PROBLEM D-BONUS: Given α 1 and kD 2, modify the con trol loop outside of the gray-shaded box in Figure 1 (i.e. either the controller itself or...
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Question 1 (20 points) As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below. The proposed solution must be cost-effective, so consider a passive network-based compensator. The transient response of the closed-loop transfer function to a ramp input has a 30% overshoot (%OS = 30) and a settling time Ts= 2.73 seconds. You need to decrease the peak time by a factor...
The parameters are as follows
k=0.1,a=1.00,b=1,c=1.0,d=25,w_1=20,w_2=25,Kv=50
e(t) r(t) e (t) G(s) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle e (t) in degrees and the input torque u(t) in Newton meters given by the following differential equation du(t) dt 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 1....
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