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lecture_notes_20 - [E505 221A LECTURE 26 I GOALS OF THIS...

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(A+Z>(/\v+2):0 ==> AZ+4A+4=O ma‘tC/Luln f) meg/(gawk bewem CLOMLJL [NW omoL i :4 3+:{I = 4} =$ Jr}: [ 2ft: “ 0] “J chfiv 3s. 1:7 EQQML X" (X‘EE)Y+ Em €Y=PX x=?" 31‘ MWL X; ‘P-I (75“..T3WZBPX 1’ 134% W = ( P”RP — ?"§EP>X*P"E UL W \MI W A B F :.F=FP F = 31’: [l (fly/z "/21: Ly?— 4/2] 4/; 3/Z F = Uz— “bk-“W 1% J I at F— [l A’BF OLD l i W ) ~S UKOLn/L/a E, f ‘ % M, W (ii). follow FOL 1‘? front view ( aircraft is flying into page)- top view Figure 1: Lateral axes of an aircraft- An approximate linear model of the lateral dynamics of an aircraft, for a particular set of flight conditions, has the linearized state and control vectors: 2; u=l‘§:l I ‘1)" where p and 7" are incremental roll and yaw rates, fl is an incremental sideslip angle, and (/5 is an incremental roll angle. The control inputs are the incremental changes in the aileron angle (5,; and in the rudder angle 6r, respectively. These variables are shown in Figure 1. The state space equation for this model is 3': = A3: + Bu where —10 0 '—10 0 20 2.8 0 —0.7 9 0 0 43.13 A‘ 0 —1 —0.7 0 B“ 0 0 (2) 1 0 0 0 0 0 (a) Suppose a malfunction prevents manipulation of the input 6?. Is it possible to completely control the aircraft using only 6a? (b) If you had your choice of only one of the following sensors, which would you choose? Explain. (i) A rate gyro which measures the roll rate p. (ii) A bank indicator which measures (1). ...
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This note was uploaded on 04/11/2011 for the course EE 221A taught by Professor Clairetomlin during the Fall '10 term at Berkeley.

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lecture_notes_20 - [E505 221A LECTURE 26 I GOALS OF THIS...

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