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 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 [...]... 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= 1 0, b=5 , k=40 Performance of second order system ... 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