Abstract
Many practically important systems can be modelled only as Lur'e plants with multiple non-linearities whose linear components have transfer function matrices with singular first Markov parameters. The fundamental concept of absolute tracking is accordingly extended so as to embrace such Lur'e plants by the introduction of appropriate inner-loop compensators in conjunction with high-gain error-actuated analogue controllers. These general results are illustrated by designing a high-gain analogue controller and associated inner-loop compensator for the longitudinal dynamics of an aircraft with three non-linear actuators.