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Second-Order LTI Systems

Second-Order LTI Systems

www.dartmouth.edu

Engineering Sciences 22 — Systems 2nd Order Systems Handout Page 2 Some of the common possibilities for Y(s) are given in table entries 10-14.(If the input is constant, zero, or a step, Y(s) will in fact be one of these, or a combination of them, depending on initial conditions.)

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Second Order Systems

Second Order Systems

www.et.byu.edu

Response of 2nd Order Systems to Step Input ( 0 < ζ< 1) 1. Rise Time: tr is the time the process output takes to first reach the new steady-state value. 2. Time to First Peak: tp is the time required for the output to reach its first maximum value. 3. Settling Time: …

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Time Response of Second Order Systems - Mercer University

Time Response of Second Order Systems - Mercer University

faculty.mercer.edu

For second order system, we seek for which the response remains within 2% of the final value. This occurs approximately when: Hence the settling time is defined as 4 time constants. T s δ T s n s n s T T T e n s ζω τ ζω ζω 4 4 Therefore: or: 4 0.02 ≅ = ≅ − < Explicit relations for and:

  System, Order, Order systems

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