lecture_9

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1 Mechanical Engineering Department Automatic Control Dr. Talal Mandourah Lecture 9 Chapter 5 Second-Order Systems ransient Response Specifications f a unit step function 1- Delay time t d 2- Rise time t r 3- Peak time t p 4- Maximum overshoot M p 5- Settling time t s

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Automatic control

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Senior Project Guidelines1- Delay time td
2- Rise time tr
3- Peak time tp
4- Maximum overshoot Mp
5- Settling time ts
% Max overshoot = max overshoot / yss * 100
2- Delay time td= time required for y(s) to reach ½ yss
3- Rise time tr =time required to rise from 10 to 90% of yss
4- Settling time: ts= time required for step response to decrease and stay within 5% of yss
Mechanical Engineering Department
Can be written as
Q2: Solve by Laplace transformation:
assume zero initial conditions
assume zero initial conditions