# HW3_09 - 2. Place the following differential equation in...

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AE361 Advanced Stability and Control Homework 3 Due Wednesday, September 30, 2009 1. A control scheme is shown in the block diagram shown below: The initial conditions are (0) 0 , (0) 0 x x = = Use the following parameter values 1 2 1000 , 332 , 1 , 4 , 7 , 10 , 1 M K α β τ σ = = = = = = = . Use ODE45 to solve for the response of the system with the two cases of the input ( ) f x t given below: (a) ( ) 1 0 0 f t x t t e t - = = = Does the system go in the direction of the force or opposite to it at small time? (b) ( ) 0 0 0 f t x t t e t - = = = Does the system go in the direction of the force or opposite to it at small time? Why is case (b) different from case (a)

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Unformatted text preview: 2. Place the following differential equation in proper LTI form df x 5x 10x 3x f t 5 dt ( ) + + + = + &&& && & The desired output for the system is x & . Give the matrices [ ] , [ ] , [ ] , [ ] a b c d in the LTI representation [ ] [ ] [ ] [ ] x a x b u y c x d u = + = + & & 3. For Problem 1, increase K from 332 and show and describe what happens to the response as K increases. Estimate the maximum value of K before the system becomes unstable....
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## This note was uploaded on 01/11/2011 for the course MECH ENG AE361 taught by Professor Waltereversman during the Fall '10 term at Missouri S&T.

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HW3_09 - 2. Place the following differential equation in...

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