The initial value of a variable can be determined in a

Question

Question: Answer the following questions.

(a) The initial value of a variable can be determined in a manner similar to the final value. Derive the general expression for the initial value.

(b) The transfer function can be inverted to give

(C_A0(S)/C_A(S)) = (τs + l)/K_p

Discuss whether this is also a transfer function describing the process,

(c) The transfer function is sometimes referred to as the impulse response of the (linear) system. Demonstrate why this statement is true.

(d) If only the input-output relationship is required, why are all equations for the system included in the model, rather than only those equations involving the input and output variables?