This paper investigates an innovative technology for asynchronous fuzzy preview control (FPC) in nonlinear Markov jump systems (MJS) with time-varying uncertainties and partly unknown transition probabilities using the Takagi-Sugeno (T-S) fuzzy model. It is assumed that the system modes cannot be obtained synchronously by the controller, but instead there is a detector that provides estimated values of the system modes. The proposed asynchronous FPC strategy depending on the detector mode considers time-changing uncertainties and previewable target signals. The asynchronous controller integrates a fuzzy feedback controller, a fuzzy preview controller, and an integrator to address the tracking control problem of target signals. The research constructs a T-S fuzzy augmented error model (AEM) using the error system method and state augmentation technique. Subsequently, the asynchronous FPC design challenge is transformed into a feedback stabilization problem of the AEM. Employing Lyapunov function and LMI techniques, the study derives sufficient conditions for the stability of the AEM in the form of a set of LMIs, presenting the design method of the asynchronous FPC law. The validity of the results is demonstrated through numerical simulations.
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