Question

In: Electrical Engineering

Consider a system with the following transfer function, G(s) = 10/ [s(s + 1)]. Design a...

Consider a system with the following transfer function,

G(s) = 10/ [s(s + 1)].

Design a compensator according to the following design objectives:

• Kv = 20 sec−1 ;

• PM = 50 oF;

• GM ≥ 10 dB.

Submit your answer regarding the detailed compensator design procedures, and the corresponding MATLAB code and figures to verify your design.

In addition, compare the step response of both uncompensated and compensated systems in MATLAB

Solutions

Expert Solution


Related Solutions

Consider the linear time invariant system described by the transfer function G(s) given below. Find the...
Consider the linear time invariant system described by the transfer function G(s) given below. Find the steady-state response of this system for two cases: G(s) = X(s)/F(s) = (s+2)/(3(s^2)+6s+24) when the input is f(t) = 5sin(2t) and f(t) = 5sin(2t) + 3sin(2sqrt(3)t)
A servomechanism has an open loop transfer function of G(s) = 10 / s (1+0.5s) (1+0.1s)...
A servomechanism has an open loop transfer function of G(s) = 10 / s (1+0.5s) (1+0.1s) Draw the Bode plot and determine the phase and gain margin. A networks having the transfer function (1+0.23s)/(1+0.023s) is now introduced in tandem. Determine the new gain and phase margins. Comment upon the improvement in system response caused by the network
A Unity feedback system has an open loop transfer function of G(s) = K / s...
A Unity feedback system has an open loop transfer function of G(s) = K / s (s+1) (s+5) Draw the root locus plot and determine the value of K to give a damping ratio of 0.3 A network having a transfer function of 10(1 +10s) /(1 +100s) is now introduced in tandem. Find the new value of K, which gives the same damping ratio for the closed -loop response. Compare the velocity error constant and settling time of the original...
Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the...
Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the feedback loop. 1.) Find out the entire range of a and b at which the closed-loop is stable and show it on the plane with a and b axes. 2.) At the border of instability, find the frequency of oscillations in terms of a. 3.) For what value of a, do we get the largest range of b for stability? What is this largest...
For the system with transfer function H(s)=1/(s-2)(s-1) determine the ROC for stability.
For the system with transfer function H(s)=1/(s-2)(s-1) determine the ROC for stability.
Design a digital PID controller based on the Ziegler_Nichols method for for the following system: G(s)=s/((s+1)^4...
Design a digital PID controller based on the Ziegler_Nichols method for for the following system: G(s)=s/((s+1)^4 ) use the sampling time of T=0.1 seconds and simulate the resulting controlled system by applying a unit step and then changing the value of input to another value after some appropriate time Discus the effect of set point change.
Design a digital PID controller based on the Ziegler_Nichols method for for the following system: G(s)=1/((s+1)^4...
Design a digital PID controller based on the Ziegler_Nichols method for for the following system: G(s)=1/((s+1)^4 ) use the sampling time of T=0.1 seconds and simulate the resulting controlled system by applying a unit step and then changing the value of input to another value after some appropriate time Discus the effect of set point change.
Consider the following system at equilibrium. S(s)+O2(g)<--->SO2(g) 1. How will adding more S(s) shift the equilibrium?...
Consider the following system at equilibrium. S(s)+O2(g)<--->SO2(g) 1. How will adding more S(s) shift the equilibrium? A) to the right B) to the left C) no effect 2. How will removing some SO2(g) shift the equilibrium? A) to the right B) to the left C) no effect 3. How will decreasing the volume of the container shift the equilibrium? A) to the right B) to the left C) no effect
A system has the transfer function H(s)=3(s2+7 s)/(s2+8s+4). Draw a Bode plot of the transfer function...
A system has the transfer function H(s)=3(s2+7 s)/(s2+8s+4). Draw a Bode plot of the transfer function and classify it as lowpass, highpass, bandpass, or bandstop. Draw the Direct Form II for this system.
given the transfer function G(s) = (1.151 s + 0.1774)/(s^3 + 0.739 s^2 + 0.921 s),...
given the transfer function G(s) = (1.151 s + 0.1774)/(s^3 + 0.739 s^2 + 0.921 s), write the state equations x'= Ax + Bu + Dw , and y = Cx for the system .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT