Consider the digital implementation of a forced single-degree harmonic oscillator G: +oy=u, into a dsPIC chip,...

 

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Consider the digital implementation of a forced single-degree harmonic oscillator G: ÿ+o²y=u, into a dsPIC chip, where y is the real-timed output of oscillation amplitude, is the real-time assigned angular frequency to be generated, and is the control signal. (a) (10%) Find the discrete equivalents of G as the sampling time is 0.001 second with the following methods: (1) Tustin (2) Modified Tustin (3) Euler approximation (4) Direct Digital Computing (b) Write down the codes that implement those discrete equivalents found above. (c) State the merits and challenges in practice of each method listed in (a)? (d) Is the method of Finite Impulse Response (FIR) suitable for such digital implementation? Why or why not? Consider the digital implementation of a forced single-degree harmonic oscillator G: ÿ+o²y=u, into a dsPIC chip, where y is the real-timed output of oscillation amplitude, is the real-time assigned angular frequency to be generated, and is the control signal. (a) (10%) Find the discrete equivalents of G as the sampling time is 0.001 second with the following methods: (1) Tustin (2) Modified Tustin (3) Euler approximation (4) Direct Digital Computing (b) Write down the codes that implement those discrete equivalents found above. (c) State the merits and challenges in practice of each method listed in (a)? (d) Is the method of Finite Impulse Response (FIR) suitable for such digital implementation? Why or why not?

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1 Tustin Gz 2 0001z 2 0001z 2 Modified Tustin Gz 2 0001z 00005z2 2 0001z 00005z2 3 Eul... View the full answer