A feedbackk control system has the transfer functionA feedback control system has the transfer functionG(s)/1+G(s),where G(s)=s+4/s(square)-1and s represent the frequency domain1.show that the system is stable2.find the impulse response h(t) of the systemd(square)x/dt(square)+5*dx/dt+4x=F(t)3.state,with reasons,whether this system is stable

问题描述:

A feedbackk control system has the transfer function
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

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)……

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

都英文的啊,不太懂