Finite‐time sampled‐data fuzzy control for a non‐linear system using passivity and passification approaches and its application.

This study addresses the finite‐time non‐fragile sampled‐data control for a Takagi–Sugeno (T–S) fuzzy system with passivity and passification approaches. Firstly, a new finite‐time boundedness (FTB) condition is acquired for the considered system by using a Lyapunov–Krasovskii functional and inequality approaches. Secondly, finite‐time passivity (FTP) conditions are achieved to ensure that the T–S fuzzy system is not only FTB but also finding passivity performance index. Moreover, under the FTP conditions, the non‐fragile sampled‐data controller is designed for linear matrix inequalities to achieve the stability conditions of the considered system. Finally, the corresponding simulation results for the application examples related to a permanent magnet synchronous motor system, truck trailer system, and Lorenz system are applied to verify the performance of the proposed design method. [ABSTRACT FROM AUTHOR]