Eigenvalue for DC motor convergence rate

[pcming]

Hi,
I have troubles solving this question:
Given the general DC motor governed equation, find the control voltage such that the speed w tends to constand reference input w* and the convergence rate is determined by the desired eigenvalues L1 and L2.
I think it's easy to find the control voltage to the speed w. However I don't know how to find "convergence rate" which is determined by the desired eigenvalues. Can anyone give me some suggestions? Thanks.

[Andrew Mason]

Hi,
I have troubles solving this question:
Given the general DC motor governed equation, find the control voltage such that the speed w tends to constand reference input w* and the convergence rate is determined by the desired eigenvalues L1 and L2.
I think it's easy to find the control voltage to the speed w. However I don't know how to find "convergence rate" which is determined by the desired eigenvalues. Can anyone give me some suggestions? Thanks.Can you give us the "general DC motor governed equation"?

AM

[pcming]

Hi Andrew,
here it is:

J(dw/dt)=K1*i-T
L(di/dt)=-R*i-K2*w+u

where J is the inertial moment, w is motor speed, T is load torque, R is resistance, i is current, K1 and K2 are constant, and u is the input voltage.

Thank for your reply! Hope you know how to do it.