High-gain tracking systems incorporating Lur'e plants with multiple non-linearities

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Abstract
The class of Lur'e plants with multiple non-linearities which are amenably to high-gain error-actuated 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 control systems incorporating such Lur'e plants which exhibit state-bounded absolutely stable tracking. These general results are illustrated by synthesizing a high-gain tracking system incorporating a Lur'e plant with two non-linearities.