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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.