brief introduction to control theory , LE THANH PHUC

BRIEF INTRODUCTION TO CONTROL THEORY
Le Thanh Phuc

Faculty of Automotive Engineering
University of Technical Education Ho Chi Minh City
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Laplace Transform


Laplace Transform


Laplace Transform


Laplace Transform


Inverse Transform







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:


Block diagram transformation


Solution of Characteristic Equation
• M=8 , b=22 , k=15
• M=18 , b=-45 , k=28
• M= 10, b=5 , k=40


Performance of second order system