Extended blending techniques with applications in robust tracking control and fault-tolerant control

In this paper, we extend the blending technique introduced in [2] to a general case. Different from, where all the columns of the distribution matrices of the exogenous inputs should be linearly independent of each other, we only require that part of the columns are linearly independent, and the other matrices have full column ranks. Based on this blending technique, we present a novel approach to the robust fault-tolerant control scheme and robust tracking problem. The novelty lies in the fact that we can separately design the controller gains for different performance indices, while simultaneously achieving all the indices via an elegant construction of an overall controller. The design procedure is based on LMI techniques and basic linear algebra tools.