Decentralized Output Feedback Robust Passive Control for Linear Interconnected Uncertain Time-Delay Systems

Abstract

We consider a class of large-scale interconnected time delay systems and investigate a decentralized robust passive control problem. Sufficient conditions for unforced interconnected uncertain systems with time delay to be robustly stable with extended strictly passivity is given in terns of algebraic Riccati inequality and linear matrix inequality. The decentralized robust passive control problem for norm-bounded and positive real uncertainty is shown to be converted to extended strictly positive real control problem for a modified system which contains neither time delay nor uncertainty.