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.