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Applications of the fuzzy-neural Lyapunov criterion to multiple time-delay systems

Journal of Vibration and Control

Published online on

Abstract

This investigation addresses the stability problem of multiple time-delay Takagi-Sugeno (T-S) fuzzy systems subjected to disturbances. A novel criterion, designed in terms of the fuzzy Lyapunov method, is merged with the linear matrix inequality theory to ensure the asymptotic stability of the multiple time-delay T-S fuzzy systems. Furthermore, the neural network modeling approach and H infinity control performance are employed to improve the controller design for parallel distributed compensation. Finally, the application of the criterion demonstrates the feasibility of the controller design.