Consider a unity feedback system consists of a plant P(s) and a
controller C(s), the closed-loop transfer function will be
P(s)C(s)/[1+P(s)C(s)].

if we develop another controller C'(s)=C(s)/[1+P(s)C(s)], then the transfer function of the open loop system with controller C'(s) will be exactly the same as the transfer function of the closed-loop system with controller C(s).

Therefore can we conclude that we are able to take place of closed-loop control by open loop control?

if we develop another controller C'(s)=C(s)/[1+P(s)C(s)], then the transfer function of the open loop system with controller C'(s) will be exactly the same as the transfer function of the closed-loop system with controller C(s).

Therefore can we conclude that we are able to take place of closed-loop control by open loop control?