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I've designed a system to get a desirable step response. However, I think the impulse response of my system is more important.

There are many methods for designing a system for transient response specifications related to the step response. I was wondering, is there similar material for a desirable impulse response?

Are there methods for shaping the bode plot, Nyquist plot or root locus of a system to get a desirable impulse response?

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  • \$\begingroup\$ Since one defines the other completely (at least for linear systems, which you're implicitly asking about), there's no design freedom left; you've defined the impulse response by defining the step response. The former is the derivative of the latter. So, if you have a method to design one with a step response like you want it to be, just take the antiderivative of the impulse response you want, design your system, done. \$\endgroup\$
    – Marcus Müller
    Commented Dec 6, 2023 at 22:34
  • \$\begingroup\$ anyways, your question is very broad, and you'll find that in most signals and systems books, most consideration of the time domain actually are usually more concerned with the impulse response. You'll really just have to read on! \$\endgroup\$
    – Marcus Müller
    Commented Dec 6, 2023 at 22:35

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