PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB
350 Practical MATLAB® Applications for Engineers R.4.91 Similarly, a noncausal system can be defi ned as the one with the ROC lo ...
Fourier and Laplace 351 poles = -1.0000 + 1.0000i -1.0000 - 1.0000i -1.0000 ************************************************** T ...
352 Practical MATLAB® Applications for Engineers be a system transfer function. Verify that multiple poles are present in H(s), ...
Fourier and Laplace 353 then Fs ss s s s () () ( ) () 52 3 10 3 3 52 ++^222722 + ++ b. Example (#2) Let Fs ss s () 1 ...
354 Practical MATLAB® Applications for Engineers where y(t) = £−^1 [Y(s)]. The process of evaluating the coeffi cients A, B, and ...
Fourier and Laplace 355 R.4.100 The voltage across a capacitor C, denoted by vC(t) is expressed in the time domain and its equiv ...
356 Practical MATLAB® Applications for Engineers XL(s) = sL, or by source transformation, a current source in parallel with XL(s ...
Fourier and Laplace 357 Time domain s-domain i(t) = I 0 I(s) = I 0 /s i(t) = I 0 cos(w 0 t) i(t) = (amp) (amp) (amp) (amp) s^2 + ...
358 Practical MATLAB® Applications for Engineers Then, applying Kirchhoff’s voltage law to the loop of the circuit diagram, show ...
Fourier and Laplace 359 The process is illustrated as follows: V s RI s LsI s LI Is R Ls V s LI () () () [ ] 0 0 Is V ...
360 Practical MATLAB® Applications for Engineers 60 eut 2 di t 6 dt t()() it() Step b 60 1 26 s sI s I s () () (Taking th ...
Fourier and Laplace 361 R.4.113 To gain additional experience, fi ve examples of DEs are presented and solved manually, using th ...
362 Practical MATLAB® Applications for Engineers Ys s()[ ] (^2) 48 Ys ss () 8 4 4 2 (^222) (^2) and using Table 1.2 yt() ...
Fourier and Laplace 363 ANALYTICAL Solution Taking the LT of the given equation 203 30 sY s y Y s s () ( )() Ys s s ()[ ...
364 Practical MATLAB® Applications for Engineers R.4.115 The following examples illustrate the procedure used to obtain the LT o ...
Fourier and Laplace 365 R.4.117 For example, using the symbolic MATLAB toolbox obtain the ILT of the following frequency-depende ...
366 Practical MATLAB® Applications for Engineers disp(‘*******************************’) disp(‘****Solutions using Matlab****’) ...
Fourier and Laplace 367 (c) Example (#3), the frequency function F(s) is: 8 s + 30 -------- s^2 + 25 its inverse Laplace transfo ...
368 Practical MATLAB® Applications for Engineers plot (t,f) title (‘ plot of [ ILT of F(s)] vs. t (numerical solution)’) ylabel ...
Fourier and Laplace 369 ************RESULTS************* F(s) is given by: 3 s + 25 ------------ s^2 + 3 s + 2 The ILT of F(s) i ...
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