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Section 8.5 MATLAB Applications 8.48 Use MATLAB to compare the maximum percent overshoot, peak time, and 100% rise time of the following models where the input $f(t)$ is a unit step function. The initial conditions are zero. a. $3\ddot{x} + 18\dot{x} + 10x = 10f(t)$ b. $3\ddot{x} + 18\dot{x} + 10x = 10f(t) + 10\dot{f}(t)$

Name: section 85 matlab applications 848 use matlab to compare the maximum percent overshoot peak time and 100 rise time of the following models where the input ft is a unit step function the init 54751
Uploaded: 2023-08-02T07:08:34-08:00
Duration: 3 min 56 s
Channel: Madhur L
Description: section 85 matlab applications 848 use matlab to compare the maximum percent overshoot peak time and 100 rise time of the following models where the input ft is a unit step function the init 54751

          Section 8.5 MATLAB Applications
8.48 Use MATLAB to compare the maximum percent overshoot, peak time, and 100% rise time of the following models where the input $f(t)$ is a unit step function. The initial conditions are zero.
a. $3\ddot{x} + 18\dot{x} + 10x = 10f(t)$
b. $3\ddot{x} + 18\dot{x} + 10x = 10f(t) + 10\dot{f}(t)$

section 85 matlab applications 848 use matlab to compare the maximum percent overshoot peak time and 100 rise time of the following models where the input ft is a unit step function the init 54751

Added by Brandon J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

08/02/2023

Step 1

First, we need to convert the differential equations into transfer functions. The Laplace transform of a unit step function $f(t)$ is $F(s) = 1/s$. The Laplace transform of the derivative of the input $\dot{f}(t)$ is $sF(s) = s(1/s) = 1$. For a general Show more…

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Section 8.5 MATLAB Applications 8.48 Use MATLAB to compare the maximum percent overshoot, peak time, and 100% rise time of the following models where the input $f(t)$ is a unit step function. The initial conditions are zero. a. $3\ddot{x} + 18\dot{x} + 10x = 10f(t)$ b. $3\ddot{x} + 18\dot{x} + 10x = 10f(t) + 10\dot{f}(t)$