For the following statements, discuss whether they are always true, sometimes true, always false, or sometimes false. Cite evidence from this chapter.
(a) Increasing the controller gain speeds up the response for a set-point change.
(b) Increasing the controller gain always causes oscillation in the response to a set point change.
(c) Increasing the controller gain too much can cause instability in the control system.
(d) Selecting a large controller gain is a good idea in order to minimize offset.