Decentralized Stabilization of Large-Scale Systems

A Matrix Inequality Approach Using a Homotopy Method

Abstract

This paper considers decentralized stabilization of large-scale systems composed of a number of interconnected subsystems, the information structure constraint of which is compatible with the subsystems. The decentralized stabilization problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI). To solve the BMI, an algorithm is proposed using the idea of the homotopy method, where the interconnections between subsystems are increased gradually from zeros to the given magnitudes.