A feedbackk control system has the transfer function

来源:百度知道 编辑:UC知道 时间:2024/05/30 23:54:16
A feedback control system has the transfer function
G(s)/1+G(s), where G(s)=s+4/s(square)-1

and s represent the frequency domain

1.show that the system is stable

2.find the impulse response h(t) of the system

d(square)x/dt(square)+5*dx/dt+4x=F(t)

3.state,with reasons, whether this system is stable

都英文的啊,不太懂

closed-loop transfer function
s+4/s(square)+s+3
characteristic equation
D(s)=s(square)+s+3
by Routh Stability Criterion
the system is stable

1) the close-loop transfer function is
(s+4)/(s^2+s+3)
and the characteristic equation is s^2+s+3=0.
the real part of the roots of the equation is negtive,
so the system is stable.

2)……
3)……