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HW_4_R - ω n 14.4.6 Consider the magnitude Bode plot of...

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DKL:2/20/07 HW 4 1/1 HW 4 ECE 3704 Due 2-23-07 From Lindner’s notes 3.2.1 Consider the following polynomial. ( s + 6) 2 + 36 (a) (5) By hand find the roots of each of these polynomials in rectangular form and using ( ζ , ω n ). Express each polynomial in standard second-order form. (b) (5) Enter each polynomial into MATLAB. Use MATLAB to confirm the answers to part (a). Show the vector you entered. Show the command you used for each calculation. (The damp command will calculate ( ζ , ω n ) for complex roots.) (c) (5) Plot the roots of these equations in the s -plane. Label (
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Unformatted text preview: ζ , ω n ). 14.4.6 Consider the magnitude Bode plot of the frequency response function of a system shown in Figure P14.4.6. (a) (5) Identify the frequency band where the steady state output signal has an amplitude less than 0.1. (Stopband) (b) (5) Identify the frequency band where the steady state output signal has an amplitude greater than 0.707. (Passband) (c) (10) Suppose the input signal is x ( t ) = cos(4 t ) . Find the steady state output signal. (Of course, without the phase plot you will be unable to determine the angle.) Figure P14.6.6...
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