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Unformatted text preview: modeled, in continuous time, by the diﬀerential equation x ˙ = Ax + Bu. Assume that you have two sensors. The frst sensor yields measurements y 1 = C 1 x For t = 0 , 1 , 2 , 3 ,... , and the second sensor yields measurements y 2 = C 2 x For t = 0 , 2 , 4 ,... . Assuming that u ( t ) = u ( ± t ² ), For all t ≥ 0, derive a discretetime statespace model For the system, relating the inputs at times ( u (0) ,u (1) ,u (2) ,... ) to the outputs at times ( y (0) ,y (1) ,y (2) ,... ). 2 MIT OpenCourseWare http://ocw.mit.edu 6.241J / 16.338J Dynamic Systems and Control Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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 Spring '11
 Prof.EmilioFrazzoli
 Signal Processing, Euclidean vector, sensor yields measurements

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