Decentralized Output Feedback Control of Large-Scale Interconnected Nonlinear Systems: The LMI Approach

Authors:	Zhu Yongliang, Oklahoma State University, United States Pagilla Prabhakar, Oklahoma State Universit, United States
Topic:	5.4 Large Scale Complex Systems
Session:	Large Scale Complex Systems
Keywords:	Decentralized control, Large-scale systems, Output feedback, LMI

Abstract

The focus of the research is on the design of a decentralized output feedback controller for a class of large-scale systems using linear matrix inequalities (LMI). The class of large-scalesystems is characterized by unmatched nonlinear interconnection functions that are uncertain but quadratically bounded in the overall system state. An elegant LMI solution to the problem isprovided in (Siljak and Stipanovic 2001), but the method requires that the input matrix of each subsystem be invertible, i.e., each subsystem has as many independent control inputs as state variables. We provide an LMI solution that does not require invertibility of the input matrices of each subsystem. Simulation results on an example are given to validate the design.