brief introduction to control theory , LE THANH PHUC

BRIEF INTRODUCTION TO CONTROL THEORYLe Thanh Phuc Faculty of Automotive Engineering University of Technical Education Ho Chi Minh City Email: phuclt@hcmute.edu.vn... Transfer function• T

BRIEF INTRODUCTION TO CONTROL THEORY

Le Thanh Phuc

Faculty of Automotive Engineering

University of Technical Education Ho Chi Minh City

Email: phuclt@hcmute.edu.vn

Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Inverse Transform

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Transfer function

• Transfer function of a linear system is defined as the ratio of the

Laplace transform of the output variable to the Laplace transform of the input variable with all initial conditions assumed to be zero

• The transfer function of the spring-mass-damper system is:

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Block diagram transformation

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Solution of Characteristic Equation

• M=8 , b=22 , k=15

• M=18 , b=-45 , k=28

• M= 10, b=5 , k=40

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k bs

Ms 2  

Performance of second order system

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