Event-Based Prescribed Performance Control for Thermoacoustic Systems with Unknown Flame Response: A Fully Actuated System Approach

An event-triggered prescribed performance control (PPC) strategy based on a fully actuated system (FAS) approach is proposed for thermoacoustic systems with the unknown flame response in the combustion chamber of aero-engines. Firstly, a prescribed performance function (PPF) is used to constrain the system output pressure, ensuring that transient and steady-state performance indicators meet the system requirements; Secondly, event-based radial basis function neural network (RBF NN) is utilized to approximate the unknown flame response. Furthermore, event-triggering scheme (ETS) related to the PPF is designed to ensure system performance while reducing frequent actuator actions and lowering communication resource consumption. Finally, the effectiveness of the proposed method is demonstrated through simulation.