Fast-sampling tracking systems incorporating Lur'e plants with multiple non-linearities

The class of Lur'e plants with multiple non-linearities which are amenable to fast-sampling error-actuated digital control is characterized in terms of the properties of the transfer function matrices of the linear components of such plants. It is shown that. this characterization greatly facilitates the synthesis of closed-loop digital control systems incorporating such Lur'e plants which exhibit state-bounded absolutely stable tracking. These general results are illustrated by synthesizing a fast-sampling tracking system incorporating a Lur'e plant with two non-linearities.