Robust Non-fragile H8 Fuzzy Control for Uncertain Nonlinear- Delayed Hyperbolic PDE Systems

作者：Zhang, Xu; Wang, Zi-Peng^*; Wu, Huai-Ning; Zhang, Xiao-Wei; Li, Han-Xiong; Qiao, Jun-Fei

来源：International Journal of Fuzzy Systems, 2023, 25(2): 851-867.

DOI：10.1007/s40815-022-01409-6

• H(8 )control
• Fuzzy control
• Takagi-Sugeno
• (T-S) model
• Uncertain nonlinear delayed hyperbolic PDE systems
• Non-fragile control

In this paper, we consider the robust non-fragile H-infinity fuzzy control for uncertain nonlinear delayed hyperbolic partial differential equation (PDE) systems, which can represent the dynamics of most industrial processes, such as plug-flow reactors, fixed-bed reactors, tubular heat exchangers, traffic flows, and wave equations. Initially, a Takagi-Sugeno (T-S) fuzzy-delayed hyperbolic PDE model is presented to describe the uncertain nonlinear delayed hyperbolic PDE system. Subsequently, based on the T-S fuzzy delayed hyperbolic PDE model, spatial linear matrix inequality (SLMI) based sufficient conditions to ensure exponential stability with an H-infinity performance are obtained via utilizing the Lyapunov direct method. Then, to solve the SLMIs, the robust non-fragile H-infinity fuzzy control problem for uncertain nonlinear delayed hyperbolic PDE systems is formulated as an LMI feasibility problem. Finally, two examples on a Lotka-Volterra PDE system and a non-isothermal plug-flow reactor (PFR) are presented to illustrate the effectiveness of the presented control method.

• 单位
  北京航空航天大学; 北京工业大学