lecture_9

# Lecture_9 - ME 421 Mechanical Dynamics and Control Fall 2006 Lecture 9 Today’s topics 1.Basic operation of transfer functions 2.Conversion

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Unformatted text preview: ME 421 Mechanical Dynamics and Control Fall 2006, Lecture 9 Today’s topics: 1.Basic operation of transfer functions; 2.Conversion between transfer function, differential equations, and state-space model; Using Laplace Transform to Solve ODE Concepts of Transfer Function Concepts of Transfer Function Basic Concepts of Transfer Function Example Study Basic Transfer Function Operations Basic Transfer Function Operations Conversion between Transfer Function and ODE D:\Zou Documents D\ME421_Fall06\Lecture\L_8_Exmp.m Page 1 September 19, 2006 11:45:16 AM %========================== % Step response of a second-order system; % ME 421 Fall 2006, Lecture 7 %=================================== omega_n = [2, 4, 6]; % The natual frequency of % the system; xi = [0.125, 0.5, 0.9]; Gain = [1 0.5 2]; t_v = 0:0.1:20; phi = atan(sqrt(1-xi(1)^2)/xi(1)); % The inverse of tangent. % Vary the natural frequency of the system; for jj = 1:length(omega_n) omega_d = sqrt(1-xi(1)^2).*omega_n(jj); % Compute the response by the expression;...
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Lecture_9 - ME 421 Mechanical Dynamics and Control Fall 2006 Lecture 9 Today’s topics 1.Basic operation of transfer functions 2.Conversion

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