Question

Project Problem Statement Consider a plant having nominal model $G_o(s) = \frac{B_o(s)}{A_o(s)} = \frac{8}{(s+2)(s+4)}$ Assume a one degree of freedom control loop with controller, C(s), of the form $C(s) = \frac{P(s)}{L(s)} = \frac{P_1s+P_o}{L_1s+L_o}$ A-1 Synthesize a controller C(s) such that the close loop polynomial is $A_{cl}(s) = (s + a)^2(s + 5)^2$ a) For taking, a = 0.1 b) For taking, a = 10 [36 pts.] [36 pts.] Since $A_d(s)$ is 4th. order polynomial you will consider a controller of the form, $C(s) = \frac{P_1s+P_o}{L_1s+L_o}\frac{(s+5)}{(s+5)}$ to enable a pole zero cancellation on the characteristic equation: $A_o(s)L(s)(s+a) + B_o(s)P(s)$, which needs to be equal in order to $A_d(s)$. Discus your results found in part-A, based on the pole-zero structure of the controller, C(s) [20 pts.] C- Present your synthesis solutions, as an engineering document, in a clear and orderly manner. [20 pts] NOTE: you must draw the necessary block diagrams and determine the necessary transfer functions in explaining your approach and solutions in a clear and orderly manner.

          Project Problem Statement
Consider a plant having nominal model
$G_o(s) = \frac{B_o(s)}{A_o(s)} = \frac{8}{(s+2)(s+4)}$
Assume a one degree of freedom control loop with controller, C(s), of the form
$C(s) = \frac{P(s)}{L(s)} = \frac{P_1s+P_o}{L_1s+L_o}$
A-1 Synthesize a controller C(s) such that the close loop polynomial is
$A_{cl}(s) = (s + a)^2(s + 5)^2$
a) For taking, a = 0.1
b) For taking, a = 10
[36 pts.]
[36 pts.]
Since $A_d(s)$ is 4th. order polynomial you will consider a controller of the form,
$C(s) = \frac{P_1s+P_o}{L_1s+L_o}\frac{(s+5)}{(s+5)}$ to enable a pole zero cancellation on the
characteristic equation: $A_o(s)L(s)(s+a) + B_o(s)P(s)$, which needs to be
equal in order to $A_d(s)$.
Discus your results found in part-A, based on the pole-zero structure of the
controller, C(s)
[20 pts.]
C- Present your synthesis solutions, as an engineering document, in a clear and
orderly manner.
[20 pts]
NOTE: you must draw the necessary block diagrams and determine
the necessary transfer functions in explaining your approach and
solutions in a clear and orderly manner.

Project Problem Statement
Consider a plant having nominal model
Go(s) = (Bo(s))/(Ao(s)) = (8)/((s+2)(s+4))
Assume a one degree of freedom control loop with controller, C(s), of the form
C(s) = (P(s))/(L(s)) = (P1s+Po)/(L1s+Lo)
A-1 Synthesize a controller C(s) such that the close loop polynomial is
Acl(s) = (s + a)^2(s + 5)^2
a) For taking, a = 0.1
b) For taking, a = 10
[36 pts.]
[36 pts.]
Since Ad(s) is 4th. order polynomial you will consider a controller of the form,
C(s) = (P1s+Po)/(L1s+Lo)((s+5))/((s+5)) to enable a pole zero cancellation on the
characteristic equation: Ao(s)L(s)(s+a) + Bo(s)P(s), which needs to be
equal in order to Ad(s).
Discus your results found in part-A, based on the pole-zero structure of the
controller, C(s)
[20 pts.]
C- Present your synthesis solutions, as an engineering document, in a clear and
orderly manner.
[20 pts]
NOTE: you must draw the necessary block diagrams and determine
the necessary transfer functions in explaining your approach and
solutions in a clear and orderly manner.

Added by Nicholas H.

Question

Please give Ace some feedback