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proj-3723-06f - ECEN/MAE 3723 Systems I Fall 2006 Computer...

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1 ECEN/MAE 3723 Systems I Fall 2006 Computer Project Objective : Using MATLAB, Control System Toolbox and SIMULINK to analyze the transient response of a system. Requirement : Show all your plots, Simulink Model and MATLAB codes. Please label your plots. Clearly state your comments and explanations if required. Problem: Using Matlab Control System Toolbox 1. Given that the equation of motion for the system is as below: ) ( 50 ) ( 200 ) ( 104 ) ( 52 ) ( t x t y t y t y t y = + + + (1) (a) [15%]: Compute the transfer function of the above equation, ) ( s H . (Note: x ( t ) is the input of the system. y ( t ) is the output of the system. Assume all initial condition is zero.) (b) [5%]: Plot the unit step response (i.e., ) ( ) ( t u t x = ) of the transfer function, ) ( s H in 1(a). (Note: “unit” refers to the gain is equal to one). (c) [18%]: From the response in 1(b) clearly indicate the following transient response specifications: Percentage Maximum overshoot, M p Rise Time, t r Delay Time, t d Peak Time, t p Settling time, t s Steady-State value (d)
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