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hw05-3723-06f - ECEN/MAE 3723 Systems I Fall 2006 Homework...

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1 ECEN/MAE 3723 Systems I Fall 2006 Homework Assignment #5 Requirements: Attach your plots, Simulink Model and MATLAB codes. Please label your plots. Problem 1 : (Matlab Basic Commands) a) [1 point] : Use MATLAB to plot the signal, ( ) ( ) 4 5 cos 4 π π = t t x where the time, t , ranges from 0 to 1, varying by 0.01. Problem 2 : (Simulink-Building a Model) a) [1 point] : Build a model for the following mathematical model: ( ) v t f v 50 ) ( 1000 1 = & where ) ( t f is the step input of 500 at 0 = t . b) [0.5 point] : Assume initial conditions are zero. Set the stop time to 120 and simulate the model. Plot the output. (Please label your plot). Problem 3 : (Simulink-Creating Subsystems) a) [1.5 points] : Given the following two equations: ( ) 1 2 2 2 1 1 2 1 ) ( 2 x x x t f x x x + = + + = & & & & where ( ) t t f sin 5 = . Build a model for the above equations and incorporate “subsystem blocks” to simplify the model. b) [1 points] : Assume all initial conditions are zero. Set the stop time to 50 and simulate the model. Plot the both outputs on the same plot, i.e. 1 x Vs Time and 2 x Vs Time. Problem 4 : (Control System Toolbox-Model for LTI System)
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