Stabilization of Multi-Input Multi-Output Systems with Variable Operating Conditions

Abstract

A stabilization problem is considered for linear time-invariant multi-input multi-output systems with variable operating conditions. The plant is assumed to be modeled as an interpolation of two nominal plants described by proper stable factorizations of transfer function matrices. To stabilize the closed-loop system, two kinds of controllers are proposed. One is a fixed controller, and the other is an interpolation of stabilizing controllers for the nominal plants. For each case, sufficient conditions for stabilization are reduced to solvability of certain H∞ control problems. Design algorithms for the proposed controllers are presented in the state space. The relation to the simultaneuos stabilization problem for two nominal plants is also considered.