Decentralized Robust Fuzzy-Model-Based Control of Uncertain Large-Scale Systems with Input Delay

This paper deals with the stabilization problem of uncertain large-scale systems with input delay and the time-delay interconnections. Due to the information transmission between subsystems, time delays are often encountered in large-scale systems and lead to the source of system instability. First, the original nonlinear time-delay large-scale systems can be represented by the Takagi-Sugeno fuzzy model, which combines some simple local linear time-delay systems with their linguistic description. Then, a feasible and systematic design method is developed to synthesize the decentralized robust fuzzy-model-based controller. The adaptive fuzzy approach is proposed to approximate the upper bound of the uncertainties including the time-delay interconnections and the input delay. Based on the Lyapunov stability theorem, the proposed control scheme can guarantee the robust stability of the whole closed-loop system with input delay and time-delay interconnections. Finally, simulation results are given to demonstrate the validity of the proposed controller in this paper.