Intermittent Control-Based Practical Fixed-Time Synchronization of T–S Fuzzy Complex Networks
Fanchao Kong, Rongting Tao, Shuaibing Zhu, Jinhu Lü
Abstract
This article aims to consider the practical fixed-time (FxT) synchronization control of discontinuous Takagi–Sugeno (T–S) fuzzy complex networks (DTSFCNs). By using the comparison principle and the iterative technique, new completely-intermittent-type FxT stability lemmas are established. The new Lyapunov inequality with a unified exponent condition is proposed, which can reduce the input of redundant system-independent parameters. Some existing results on the FxT stability lemmas are improved. Considering that the states cannot converge to the origin accurately, completely-intermittent-type practical FxT stability lemmas are further investigated, which can be regarded as the first one and the problem of constructing the practical FxT stability lemmas under the completely-intermittent mechanism is solved. From the perspective of saving information resources to the greatest extent, by designing the quantized controllers, the intermittent FxT and practical FxT control of the addressed DTSFCNs are studied. Here, the quantized controller only works in intermittent intervals, which can improve the quantized controllers and intermittent controllers. Finally, numerical simulations are given to verify the main results.