Question

In: Mechanical Engineering

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)

Solutions

Expert Solution


Related Solutions

Consider the first order linear time-invariant (LTI) system given by, ??(?) ?? + 4?(?) = ?(?)...
Consider the first order linear time-invariant (LTI) system given by, ??(?) ?? + 4?(?) = ?(?) Where the system is initially at rest. Part a: Determine the Frequency Response H(jω) and impulse response h(t). Part b: When the input ?(?) = ?23?(?), determine the output of the system ?(?). Part c: Is the system; memoryless? causal? Stable? please justify your answer
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
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...
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 .
Using MATLAB, determine whether the system below are a) linear/non-linear b) time-invariant/timevariant, c) causal/noncausal, d) has...
Using MATLAB, determine whether the system below are a) linear/non-linear b) time-invariant/timevariant, c) causal/noncausal, d) has memory/memoryless: y(t) = x(t) + x(t -1) Provide MATLAB code and graphs to show your work for the linearity and time-invariance testing.
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...
A system is described by the differential equation −5y′′(t)−3y′(t)+3y(t)=ys(t), Find the transfer function associated with this...
A system is described by the differential equation −5y′′(t)−3y′(t)+3y(t)=ys(t), Find the transfer function associated with this system H(s). Write the solution as a single fraction in s. H(s)=_______________?
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.
Consider the function below. f(x) = ex 3 + ex Find the interval(s) where the function...
Consider the function below. f(x) = ex 3 + ex Find the interval(s) where the function is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the local maximum and minimum values. (If an answer does not exist, enter DNE.) Find the inflection point. (If an answer does not exist, enter DNE.) Consider the function below. f(x) = x2 x2 − 16 Find the interval(s) where the function is increasing. (Enter your answer...
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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT