Stabilization of a Set of Interpolated Plants: A Factorization Approach

Abstract

Stabilization of a multi-input multi-output plant with variable operating conditions is considered. The plant is described as a linear interpolation of proper stable coprime factorizations of the transfer functions of two representative models which are defined at two representative operating points. This paper considers a certain set of interpolated models in which we expect the real plant is included. Stabilization of all interpolated models in the set by an interpolated controller and a fixed controller is considered. The problems are reduced to certain H∞ control problems. Stabilizability conditions are presented in terms of LMIs (linear matrix inequalities) in the state space.