uestc

两极点系统：开环VS闭环（1）

开环：H (s) =

(1 +

A0s

s

式中ω p1、ω p 2均大于0

)

ω p1

)(1 +

ω p 2

A0ω p1ω p 2Y (s)A0

闭环：==

ss

X (s) (1 +)(1 +) + βA0 s^2+ (ω p1 + ω p 2 )s + (1 + βA0 )ω p1ω p 2

ω p1

ω p 2

闭环的极点（上式分母为0）：

(ω p1 + ω p 2 ) ±sqrt[ (ω p1 + ω p 2 )^2 4(1 + βA0 )ω p1ωp 2]s1, 2 =2=

(ω p1 + ω p 2 ) ±sqrt[(ω p1 ω p 2 )^2 4βA0ω p1ω p 2]

2

Stability

Ch. 10 # 10