Abstract
In this paper we study the H∞ tracking problems with preview for linear jump systems considering time-varying uncertainties. We adopt a game theory approach for them and present a saddle point strategy. We consider three different tracking problems depending on the property of the reference signals. In order to solve these tracking problems, we introduce the auxiliary systems with no uncertainties and the auxiliary performance indices, and solve the auxiliary game problem. Numerical examples demonstrate that increasing the preview lengths improves the tracking error.
