Lecture_F11_ECH157_Useful_MATLAB_Commands - Useful MATLAB...

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Useful MATLAB Commands Using MATLAB for symbolic processing (using the “syms” command) >> syms a x y z t k s Note: a x y z t k s are symbolic objects. Laplace Transform >> laplace (exp(-a*t)) ans =1/(s+a) >> laplace (t) ans =1/s^2 >> laplace (sin(k*t)) ans =k/(s^2+k^2) Inversion of Laplace Transform (the command “ilaplace”) >> x=ilaplace(2/s/(s^3+4*s^2+5*s+2)) x =-exp(-2*t)-2*t*exp(-t)+1 >> ilaplace(0.5/(s+1/10)) ans = 1/(2*exp(t/10)) Using MATLAB to find the roots of polynomial equation (S 4 + 6S 2 + 11S + 6): “roots” command
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» n=[1 0 6 11 6] » roots (n) Note: vector n contains coefficients of the polynomial equation Partial fractions (the command “diff(int(…))”; make the answer looks pretty) >> x=(s^4-6*s^2+9*s-8)/s/(s-2)/(s+1)/(s+2)/(s-1) >> diff(int(x)) ans =1/12/(s-2)+11/3/(s+1)-17/12/(s+2)-2/s+2/3/(s-1) >> pretty (ans) Note: “pretty” function makes the equation looks “pretty” in MATLAB window. Solve symbolic solution of algebraic equations (“solve”)
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Lecture_F11_ECH157_Useful_MATLAB_Commands - Useful MATLAB...

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