Abstract:
This work addresses the nonfragile H_{\infty } controller design problem for a class of discrete-time uncertain nonlinear systems. The norm-bounded uncertainty is con...Show MoreMetadata
Abstract:
This work addresses the nonfragile H_{\infty } controller design problem for a class of discrete-time uncertain nonlinear systems. The norm-bounded uncertainty is contained in the nonlinear plant, which is described by the well-known Takagi–Sugeno (T–S) fuzzy model. The controller gain perturbation is also considered. When the input signal is transmitted from the controller to the system through the digital communication channels, it will be quantized by a static quantizer. The main attention is to design the nonfragile H_{\infty } state-feedback controller for the closed-loop quantized uncertain T–S fuzzy system. By introducing some auxiliary scalars and the fuzzy basis-dependent Lyapunov function approach, sufficient conditions are established in the form of linear matrix inequalities (LMIs). The construction for the nonfragile H_{\infty } controller can be completed by solving these LMIs. In the end, the applicability and effectiveness of the proposed method have been illustrated by two simulation examples.
Published in: IEEE Transactions on Systems, Man, and Cybernetics: Systems ( Volume: 52, Issue: 6, June 2022)