Control ENG HW_Part_9

Control ENG HW_Part_9 - 1 y s = s y s − 1 s y s = s s...

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Unformatted text preview: 1 . y ( s ) = s. y ( s ) − 1 s y ( s) = s s −1 2 s y (t ) = L−1{ y ( s )} = L−1 2 cosh(t ) s − 1 4.3 Express the function given in figure given below the s- t – domain and the domain This graph can be expressed as = {u(t − 1) − u(t − 5)} + { (t − 2)u(t − 2) − (t − 3)u (t − 3)} + {u(t − 5) − (t − 5)u (t − 5) + (t − 6)u (t − 6)} f (t ) = u (t − 1) + (t − 2)u(t − 2) − (t − 2)u(t − 3) − (t − 5)u(t − 5) + (t − 6)u(t − 6) f ( s ) = L{ f (t )} = e − s e −2 s e −3s e −3s e −5 s e −6 s + 2− 2− − 2+ 2 s s s s s s = e − s − e −3s e −2 s + e −6 s − e −3s − e −5 s + s s2 4.4 Sketch the following functions: f (t ) = u (t ) − 2u(t − 1) + u(t − 3) f (t ) = 3tu(t ) − 3u(t − 1) + u(t − 2) ...
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This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

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