Laplace Transform 1) A system is described by transfer function: G(s)= 35-4 s+S-6 Calculate the inverse...

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Laplace Transform 1) A system is described by transfer function: G(s)= 35-4 s+S-6 Calculate the inverse Laplace transform using partial fraction expansion, linearity property and Table 6.1. 2) Using the functions tf and bode available in the MATLAB control toolbox, plot the frequency characteristics of the system with transfer function considered in Problem 1). 3) Using the functions tf and impulse available in the MATLAB control toolbox, calculate the impulse response of the system with transfer function considered in Problem 1). NOTE: To use a control toolbox, first you need to execute pkg load control. You can get detailed information about each MATLAB function, by executing help Laplace Transform 1) A system is described by transfer function: G(s)= 35-4 s+S-6 Calculate the inverse Laplace transform using partial fraction expansion, linearity property and Table 6.1. 2) Using the functions tf and bode available in the MATLAB control toolbox, plot the frequency characteristics of the system with transfer function considered in Problem 1). 3) Using the functions tf and impulse available in the MATLAB control toolbox, calculate the impulse response of the system with transfer function considered in Problem 1). NOTE: To use a control toolbox, first you need to execute pkg load control. You can get detailed information about each MATLAB function, by executing help