Abstract
Stabilization of a multi-input multi-output plant with variable operating conditions is discussed. The plant is described as a linear interpolation of proper stable factorizations of nominal transfer matrices representing the behaviors at nominal operating points. In this paper, more than two nominal plant models are considered, in contrast with the case of two nominal models, which has been extensively dealt with so far. To stabilize the closed-loop system, a controller being an interpolation of the stabilizing controllers for the nominal models is employed as well as a fixed controller. The stabilization problems are reduced to certain H∞ control problems. Sufficient conditions and a design algorithm for the controllers are expressed in the form of LMI (linear matrix inequalities) in the state space.
