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

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.