Exponential admissibility and control for singular LPV-PDE systems with application to chemical tubular reactor

초록

In this work, the issue of exponential admissibility analysis and controller designs for the singular linear parameter-varying partial differential equation (LPV-PDE) system is investigated. First, the reaction process in the chemical tubular reactor is described by a singular LPV-PDE, and the definition for the singular LPV-PDE system to be exponentially admissible is established by the Galerkin method, energy estimates, etc. Second, the parameter-dependent fuzzy dynamic event-triggered mechanism is developed to alleviate communication pressure by reducing the amount of transmitted data. Furthermore, a sliding surface is constructed, then a suitable control law is designed to ensure the reachability of system states, and sufficient conditions for the singular LPV-PDE system to be exponentially admissible are given during the sliding phase. Finally, the effectiveness of the proposed method is verified through simulation studies.

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