Fuzzy Intermittent Control for Nonlinear Coupled Delayed PDE-ODE Systems

作者：Zipeng Wang, Hua‐Ran Su, Xi-Dong Shi, Junfei Qiao, Huai‐Ning Wu, Han‐Xiong Li · 发表于：IEEE Transactions on Cybernetics · 年份：2025 · DOI：10.1109/tcyb.2025.3597770 · 被引用次数：4 · 研究领域：Differential Equations and Numerical Methods、Traffic control and management

In this work, we introduce a fuzzy intermittent control method for nonlinear coupled delayed partial differential equation-ordinary differential equation (PDE-ODE) systems based on spatially averaged measurements (SAMs). First, the nonlinear coupled delayed PDE-ODE systems are accurately modeled by adopting the Takagi-Sugeno (T-S) fuzzy PDE-ODE model. Then, based on the T-S fuzzy PDE-ODE model, a switching lyapunov functional (LF) is given, and fuzzy intermittent controllers are designed to ensure the exponential stability of the closed-loop fuzzy delayed coupled systems. Sufficient conditions for the exponential stability of the system are expressed through by a set of space-dependent linear matrix inequalities (SDLMIs). Finally, the simulation results are used to verify the effectiveness of the proposed approach for controlling hypersonic rocket car (HRC).