Fuzzy Intermittent Control for Nonlinear Coupled Delayed PDE-ODE Systems
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).
Authors
- Huai‐Ning Wu (ORCID: https://orcid.org/0000-0002-4366-5147)
- Zipeng Wang (ORCID: https://orcid.org/0000-0002-6269-789X)
- Xi-Dong Shi
- Han‐Xiong Li (ORCID: https://orcid.org/0000-0002-0707-5940)
- Junfei Qiao (ORCID: https://orcid.org/0000-0003-0950-7900)
- Hua‐Ran Su
Institutions
- City University of Hong Kong (HK)
- University of Jinan (CN)
- Beijing University of Technology (CN)
- Beijing Academy of Artificial Intelligence (CN)
- Beihang University (CN)
- University of Science and Technology Beijing (CN)
Publication Details
- Journal
- IEEE Transactions on Cybernetics
- Published
- 2025-08-28
- DOI
- https://doi.org/10.1109/tcyb.2025.3597770
- Citations
- 1
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 2.63
Funders
- National Natural Science Foundation of China
- China Postdoctoral Science Foundation
- Beijing Postdoctoral Science Foundation
- National Key Research and Development Program of China