Li Hongfei, Li Chuandong, Ouyang Deqiang, Nguang Sing Kiong, He Zhilong
IEEE Trans Cybern. 2021 Nov;51(11):5248-5258. doi: 10.1109/TCYB.2020.2977682. Epub 2021 Nov 9.
An observer-based dissipativity control for Takagi-Sugeno (T-S) fuzzy neural networks with distributed time-varying delays is studied in this article. First, the network channel delays are modeled as a distributed delay with its kernel. To make full use of kernels of the distributed delay, a Lyapunov-Krasovskii functional (LKF) is established with the kernel of the distributed delay. It is noted that the novel LKF and delay-dependent reciprocally convex inequality plays an important role in dealing with global asymptotical stability and strict (Q, S,R) - α -dissipativity of the T-S fuzzy delayed model. Through the constructed LKF, a new set of less conservative linear matrix inequality (LMI) conditions is presented to obtain an observer-based controller for the T-S fuzzy delayed model. This proposed observer-based controller ensures that the state of the closed-loop system is globally asymptotically stable and strictly (Q, S,R) - α -dissipative. Finally, the effectiveness of the proposed results is shown in numerical simulations.
本文研究了具有分布式时变延迟的Takagi-Sugeno（T-S）模糊神经网络的基于观测器的耗散控制。首先，将网络通道延迟建模为具有核的分布式延迟。为了充分利用分布式延迟的核，利用分布式延迟的核建立了Lyapunov-Krasovskii泛函（LKF）。注意到新颖的LKF和依赖延迟的互易凸不等式在处理T-S模糊延迟模型的全局渐近稳定性和严格（Q，S，R）-α-耗散性方面起着重要作用。通过构造的LKF，提出了一组新的保守性较小的线性矩阵不等式（LMI）条件，以获得T-S模糊延迟模型的基于观测器的控制器。所提出的基于观测器的控制器确保闭环系统的状态全局渐近稳定且严格（Q，S，R）-α-耗散。最后，数值仿真结果表明了所提结果的有效性。
