Stabilitv and Feedback Systems b S1 will now Iw iiicorporated into a feotlback loop, Xs Give the net*: traiisfcr functior-t Hr i s = #$.
Trang 1402 16 Stabilitv and Feedback Systems
b) S1 will now Iw iiicorporated into a feotlback loop,
X(s)
Give the net*: traiisfcr functior-t Hr i s ) = #$
a) For what viiliips of II is the feedback systcm srable?
d) Test the stability for K < 0 with h r ( f )
Exercise 16.10
a) D r w tbc pale-zero diagram of H ( s ) when G ( s ) = 0 Is H ( s ) hca'nle in this
C i W ?
b) To stabilise H(Y) proportional feedback is prwidccl by G(8) (with real am- plification K ) 1 h w the root lociis of H ( s ) for 0 < h: < cm Fox what values
of Ii' does the ~ ~ ~ ~ ~ i l i s ~ t i a r ~ siic.ceett?
Exercise 16, d 1
1
H ( s ) is as in Excrcise 16.10, although F ( s ) =
s2 - 2s 4- 5 ' a) Draw the root lociis for G(s) = h Can the system be stabilised'?
b) If G( s) is changed to provide differeritial feedback with K real, can the system then be s t a ~ i ~ i ~ e d ? If yes, Lor what values of K f
Note: consider t, he Hnrwitx test