# hw4 - 16.333 Prof J P How Handout#4 Due 16.333 Homework...

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16.333 Handout #4 Prof. J. P. How Oct 26, 2004 Due: Nov 16, 2004 16.333 Homework Assignment #4 Please include all code used to solve these problems. 1. Given the following model of the aerosonde vehicle extracted from the (trim condition, level ﬂight at 23 m/s at sea level) 152 . 2 s + 913 . 1 G e ( s ) = Δ( s ) 25 . 72 s 2 2 . 439 s 3 . 85 G αδ e ( s ) = Δ( s ) 2 24 . 18 s 3 99 . 13 s 9 . 672 s G e ( s ) = Δ( s ) 24 . 18 s 2 99 . 13 s 9 . 672 G θδ e ( s ) = Δ( s ) 1 . 236 s 3 + 10 . 46 s 2 + 131 . 4 s + 38 . 5 G a ( s ) = t Δ( s ) 1 . 192 s 2 + 0 . 3228 s 0 . 1366 G αδ a ( s ) = t Δ( s ) 0 . 7646 s 3 + 3 . 058 s G a ( s ) = t Δ( s ) 0 . 7646 s 2 + 3 . 058 G θδ a ( s ) = t Δ( s ) where Δ( s ) = s 4 + 8 . 28 s 3 + 105 . 1 s 2 + 14 . 22 s + 24 . 29 3 and δ a = H ( s ) δ t c , with H ( s ) = s +3 to capture the engine lag. The elevators on this t aircraft are fast enough that they can be ignored. Part of the system model available on-line is shown in the figure. u and α are available as the first and third outputs of VelW , q is available as the 5th element of States , and θ is available as the second element of Euler . The elevator is the second control input,

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