MATH319 Slides

145 Feedback controllers

The engineer Watt produced various controllers (governors) for steam engines and developed the principle of feedback control. The output is fed through a machine back into the input. Consider a plant given by a linear system G (m×k) and a controller represented by a linear system -K (k×m). The output from G is fed back into the input. The minus sign indicates that we want negative feedback (if the engine goes too fast, the controller will slow it down).

Controllers generally use negative feedback.

Usually, plants are described by their Laplace transforms.

Rational transfer functions and rational controllers are simplest to deal with.