(a) Write out the differential equations for

I_(m)^()=(dI_(m))/(dt)

and

\\\\omega _(m)^()=(d\\\\omega _(m))/(dt)

in terms of the\ variables

I_(m),V_(m),\\\\omega _(m)

, and

T_(d)

, and the various motor parameters. (Hint: Combine Eq. 1\ and Eq. 2 to get

I_(m)^()=(dI_(m))/(dt)

, and similarly combine Eq. 3 and Eq. 4 to get

\\\\omega _(m)^()=(d\\\\omega _(m))/(dt)

).\ (b) Can it be possible to express the above equations in the linear state-space form (i.e., in\ the form:

x^()=Ax+Bu;y=Cx+Du

.

(a) Write out the differential equations for Im=dtdIm and m=dtdm in terms of the variables Im,Vm,m, and Td, and the various motor parameters. (Hint: Combine Eq. 1 and Eq. 2 to get Im=dtdIm, and similarly combine Eq. 3 and Eq. 4 to get m=dtdm ). (b) Can it be possible to express the above equations in the linear state-space form (i.e., in the form: x=Ax+Bu;y=Cx+Du)