Admissible control for a singular T-S fuzzy time-delay system: application to a truck-trailer system

This investigation tackles the challenges of implementing admissible control in a singular T-S fuzzy time-delay system. The strategy entails representing the system with a Takagi–Sugeno (T-S) fuzzy model, facilitating analysis through linear control theories. To establish a delay-dependent condition, a generalized integral inequality method is employed. The conditions for admissibility and controller synthesis are formulated in terms of linear matrix inequalities. To alleviate system conservatism, the introduction of some slack variables is integrated. Ultimately, the effectiveness of the proposed methodology is demonstrated by applying it to control a truck-trailer system, thereby providing empirical validation for the derived results.