Read e-book online Automatic Control Systems, 8th ed. (Solutions Manual) PDF

By Benjamin C. Kuo, Farid Golnaraghi

ISBN-10: 0471134767

ISBN-13: 9780471134763

Real-world applications--Integrates real-world research and layout purposes in the course of the textual content. Examples contain: the sun-seeker method, the liquid-level keep an eye on, dc-motor regulate, and space-vehicle payload keep watch over. * Examples and problems--Includes an abundance of illustrative examples and difficulties. * Marginal notes through the textual content spotlight details.

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1e (s −( s + 20 Ω( s ) = −0 . 1e (s 5-29 (a) 0 . 1e −0 . 1 e (s (s ) T D 30 e (s)+ + 5) (s T (s) D + 2 )( s + 20 −0 . 2 s (s (s + 5) (s ) + 90( s + 2 )U ( s ) + 2 )( s + 20 ) + 0 . 1e 30 e + − 0. 2 s −0 . 2 s −0 . 1e There should not be any incoming branches to a state variable node other than the s −1 −0 . 2 s branch. Thus, we should create a new node as shown in the following state diagram. Notice that there is a loop with gain −1 after all the s (b) State equations: dx 1 dt = 17 x 2 1 + 1 x 2 dx 2 2 dt = 15 2 x − 1 1 2 x 2 + 1 r R (s ) = 2.

5 s + 15 2 = 5 . 71 s 55 + 15 − 6 . 67 s +2 + 0 . 952  The matrix B is not unique. It depends on how the input and the output branches are allocated. (b) G (s) Y (s) = = U ( s) 10( s 2 s (s + 2) −4. 5 = = 1 )( s + 3 . 5 s + 0 . 313 s +2 x& ( t ) = Ax ( t ) + B u ( t ) 0  0 0  A = 0 −2 0    0 0 −10  1  B = 1   1  (d) 56 − 0 . 563 s + 10 +1 + 5 . 235 s + 2s + 2 2 x& ( t ) = Ax ( t ) + B u ( t ) State equations: 0 0 0 −5 A=  0 0 0 0   0  1   −2  0 1  1  B=   0  1    0 0 0 −2 5-25 (a) G (s) = Y (s) U ( s) = 10 + 1.

5 = = 1 )( s + 3 . 5 s + 0 . 313 s +2 x& ( t ) = Ax ( t ) + B u ( t ) 0  0 0  A = 0 −2 0    0 0 −10  1  B = 1   1  (d) 56 − 0 . 563 s + 10 +1 + 5 . 235 s + 2s + 2 2 x& ( t ) = Ax ( t ) + B u ( t ) State equations: 0 0 0 −5 A=  0 0 0 0   0  1   −2  0 1  1  B=   0  1    0 0 0 −2 5-25 (a) G (s) = Y (s) U ( s) = 10 + 1. 3 30 e U ( s) 90U( s)  −1  T ( s ) + T ( s ) + + D D   ∆( s)  s + 2 ( s + 2)( s + 20) ( s + 2)( s + 5)( s + 20) (s + 5)( s + 20)  1 Y ( s) = ∆( s ) = 1 + Y ( s) −0 .

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Automatic Control Systems, 8th ed. (Solutions Manual) by Benjamin C. Kuo, Farid Golnaraghi


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