Control ENG HW_Part_38

Control ENG HW_Part_38 - from tank 2, H 2 ( s) R2 1.5 = =...

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Unformatted text preview: from tank 2, H 2 ( s) R2 1.5 = = Q( s) (τ 1 s + 1)(τ 2 s + 1) ( s + 1)(3s + 1) for tank 3, q2 − qc = A3 dh3 dt q3 = qc (const ) = Q2 = A3 dh3 dt dh H2 = A3 3 dt R2 H 2 ( s ) H 3 ( s) 1 = = R2 H 2 ( s ) 3s thus, A3 SH 3 ( s ) = A3 SH 3 ( s ) = H 2 ( s) H 3 ( s) 1 = = R2 H 2 ( s ) 3s H 3 ( s) 0.5 = Q ( s ) s( s + 1)(3s + 1) 8.11© H 1 ( s ) = 5 ( s + 1) H 1 (t ) = 5e − t H 1 (3.46) = 0.155 A H 2 ( s) 1.5 =2 Q( s) 3s + 4 s + 1 Q (1) = 5 = H 2 ( s ) = 7.5 3s + 4 s + 1 2 τ= 3 2ξτ = 4 ξ= 4 4 = = 1.155 2τ 23 from fig 8.5 ξ = 1.155 and t τ = ξ= t τ = 3.46 =2 3 τH 2 (t ) = 0.265 X 7.5 H 2 (t ) = 0.265 X 7.5 τ = 1.147 H 3 ( s) 0.5 = 2 Q( s) s(3s + 4 s + 1) Q( s) = 5 = H 3 ( s) = τ= 3ξ= 2 3 from fig 8.2 at t τ = 2, ξ = 1.155 Y(t) =0.54 H3(t) =0.54*2.5 = 1.35 2.5 s (3s + 4 s + 1) 2 ...
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Control ENG HW_Part_38 - from tank 2, H 2 ( s) R2 1.5 = =...

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