formula1 - Current through C = C d v C dt Voltage across L...

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Unformatted text preview: Current through C = C d v C dt Voltage across L = L di L dt Newton's laws of motion: Rotational: Moment of inertia Angular acceleration = All torques Linear: Mass Acceleration = All forces State space model for LTI systems: dx / dt = A x Bu y = C x Du Y s U s = C sI A 1 B D = b n s n b n 1 s n 1 b s n a n 1 s n 1 a CCF: A = [ 1 1 1 a a 1 a 2 a n 1 ] B = [ 1 ] C = [ b b n a b 1 b n a 1 b n 1 b n a n 1 ] OCF: A = [ a n 1 1 a n 2 1 a 1 1 a ] B = [ b n 1 b n a n 1 b n 2 b n a n 2 b b n a ] C = [ 1 ] D = b n x t = e At x t e A Bu t d = e At x t e A t Bu d Matrix exponential: e At = O 1 { sI A 1 } Small signal linearization: dx / dt = f x ,u x = F x G u , F = [ f x ] x ,u , G = [ f u ] x ,u x ,u = equilibrium pt....
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This note was uploaded on 04/23/2010 for the course ELECTRICAL 749 taught by Professor Unknown during the Fall '03 term at Ryerson.

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formula1 - Current through C = C d v C dt Voltage across L...

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