A process consists of an integrating element operating in parallel with a first-order element (Figure).
(a) What is the order of the overall transfer function, G(s) = V(s)/U(s)?
(b) What is the gain of G(s)? Under what condition(s) is the process gain negative?
(c) What are the poles of G(s)? Where arc they Located in the complex s-plane?
(d) What are the zeros of G(s)? Where arc they located? Under what condition(s) will one or more of the zeros be located in the right-half s-plane?
(e) Under what conditions, if any, can this process exhibit both a negative gain and a right-half plane zero?