Question: P9.22 The Nichols chart for G j c ( ) G j ( ) of a closed-loop system is shown in Figure P9.22.

P9.22 The Nichols chart for G j c( ) ω ω G j ( ) of a closed-loop system is shown in Figure P9.22. The frequency for each point on the graph is given in the following table:

Point 1 2 3 4 5 6 7 8 9 1 2.0

2.6 3.4 4.2 5.2 6.0 7.0 8.0 Determine (a) the resonant frequency,

Point 1 2 3 4 5 6 7 8 9 1 2.0 2.6 3.4 4.2 5.2 6.0 7.0 8.0 Determine (a) the resonant frequency, (b) the band- width, (c) the phase margin, and (d) the gain margin. (e) Estimate the overshoot and settling time (with a 2% criterion) of the response to a step input.

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