Abstract
In this paper we study H∞ tracking problems with preview by state feedback for linear jump systems on the finite time interval. We mainly consider the problem that the reference signals are previewed in a fixed time interval and present feedback control laws for three types of H∞ tracking problems including two other extreme cases. Numerical examples demonstrate that increasing the preview length improves the tracking error. Our theory is an extension of the H∞ tracking theory with preview for linear continuous-time systems to linear jump systems. Our theory can be applied into the control system with the control input realized through a zero-order hold.
