Decentralized Tracking Control of Large-Scale Time-Delay Nonlinear Systems and Application to Chemical Reactor System

Abstract

This article discusses the decentralized tracking control problem of large-scale nonlinear systems characterized by unknown disturbances, time-varying delays, and polynomial growth conditions. To tackle the problem, a novel robust decentralized tracking method is developed. First, scaling gain transformations are introduced to obtain a transformed system. Subsequently, some stable decentralized controllers are skillfully constructed for an auxiliary system utilizing a recursive control design approach. By presenting a new domination control method together with the utilization of Lyapunov-Krasovskii (L-K) functional, the decentralized tracking controllers are designed and the system stability is guaranteed. Finally, the chemical reactor system model is employed to validate the feasibility of the strategy.