Answered step by step
Verified Expert Solution
Question
1 Approved Answer
need help Coding this on Matlab, need to see the codes and step by step for # 1-7 please. thank you Laplace Transform Worksheet Case
need help Coding this on Matlab, need to see the codes and step by step for # 1-7 please. thank you
Laplace Transform Worksheet Case 1 - Real-Valued Poles. Use partial fraction expansion to find the inverse Laplace transform of each of the following. For each case, find all finite poles and zeros and plot their location in the s-plane. Use Matlab to plot the time functions. Qualitatively, how does the zero location affect the time response? 1. X,(s) s +12s +20 (s+2)(s+10) 8(s +3) (s +2)(s +10) 2. X,(s) 8(s + 9) (s+ 2)(s +10) 4. X. (s) -(+ 2xs + 10) Solution 1) Using partial fraction expansion, X, (s)- +. Evaluating , (s +2)(s +10) s2 s+10 k, = (s + 2)X, (s)..-2- = 1, k2 = (s +10)X, (s) hel =-1. (s+10) -2 (s +10),--2 (s+ 2) 10 Hence, x, ) ke k,eor, for 20. Matlab code and plot follow. >> t-0:0.01:3]; % Time range [0,3] sec >>pl--2:p2-10;% Specify poles >> x 1-k ! *exp(pl *t) + k2 exp(p2*t); % Inverse Laplace transform >>plot(t,xl) >title(Inverse Laplace Transform of X_1(s)) >>xlabel(Time, t, sec) >>ylabel(Time Signal x 1() Inverse Laplace Transorm of X(s) 0.7 0.4 0.3 0.2 0.1 0.5 2.5 Time, t, sec Laplace Transform Worksheet Case 1 - Real-Valued Poles. Use partial fraction expansion to find the inverse Laplace transform of each of the following. For each case, find all finite poles and zeros and plot their location in the s-plane. Use Matlab to plot the time functions. Qualitatively, how does the zero location affect the time response? 1. X,(s) s +12s +20 (s+2)(s+10) 8(s +3) (s +2)(s +10) 2. X,(s) 8(s + 9) (s+ 2)(s +10) 4. X. (s) -(+ 2xs + 10) Solution 1) Using partial fraction expansion, X, (s)- +. Evaluating , (s +2)(s +10) s2 s+10 k, = (s + 2)X, (s)..-2- = 1, k2 = (s +10)X, (s) hel =-1. (s+10) -2 (s +10),--2 (s+ 2) 10 Hence, x, ) ke k,eor, for 20. Matlab code and plot follow. >> t-0:0.01:3]; % Time range [0,3] sec >>pl--2:p2-10;% Specify poles >> x 1-k ! *exp(pl *t) + k2 exp(p2*t); % Inverse Laplace transform >>plot(t,xl) >title(Inverse Laplace Transform of X_1(s)) >>xlabel(Time, t, sec) >>ylabel(Time Signal x 1() Inverse Laplace Transorm of X(s) 0.7 0.4 0.3 0.2 0.1 0.5 2.5 Time, t, secStep by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started