Question: P7.18 A feedback control system is shown in Figure P7.18. The filter G s c ( ) is often called a compensator, and the design

P7.18 A feedback control system is shown in Figure P7.18. R(s) Filter as +1 s+1 Process 20 s(s+5) Y(s) FIGURE P7.18 Filter

The filter G s c( ) is often called a compensator, and the design problem involves selecting the parameters α 

and β. Using the root locus method, determine the ef

fect of varying the parameters. Select a suitable filter so that the time to settle (to within 2% of the final value) is T≤ 4 s, and the damping ratio of the domi

nant roots is ζ > 0.6.

R(s) Filter as +1 s+1 Process 20 s(s+5) Y(s) FIGURE P7.18 Filter design.

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