Design of tunable digital set-point tracking and disturbance-rejection controllers for Lur'e plants with multiple non-linearities

Abstract

Abstract The class of Lur'e plants with multiple non-linearities which are amenable to tunable error-actuated digital control ia 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 design of closed-loop digital control systems incorporating such Lur'e plants which exhibit state-bounded absolutely stable tracking. These general results are illustrated by designing a tunable error-actuated digital set-point tracking and disturbance-rejection controller for a Lur'e plant in corporating a boiler furnace with four non-linear actuators.