IEEE Trans Cybern. 2019 May;49(5):1592-1604. doi: 10.1109/TCYB.2018.2804759. Epub 2018 Feb 19.
This paper investigates the sliding-mode control (SMC) problem of Takagi-Sugeno (T-S) fuzzy multiagent systems (MASs). A cooperative fuzzy-based dynamical sliding-mode (SM) controller is designed and the overall closed-loop T-S fuzzy MAS is constructed. A new model transformation method for T-S fuzzy MASs is presented to transform the fuzzy weighting matrix into a set of fuzzy weighting scalars. By applying the method of linear matrix inequality, a general stability analysis approach for T-S fuzzy MASs is proposed. Moreover, the energy-cost constraint problem is studied by using the linear quadratic regulator method. Finally, numerical examples are provided to illustrate the effectiveness of the proposed theoretical approaches and the improved performance compared to existing results.
本文研究了 Takagi-Sugeno（T-S）模糊多智能体系统（MASs）的滑模控制（SMC）问题。设计了一种基于协同模糊的动态滑模（SM）控制器，并构建了整体闭环 T-S 模糊 MAS。提出了一种新的 T-S 模糊 MAS 的模型变换方法，将模糊加权矩阵转换为一组模糊加权标量。应用线性矩阵不等式方法，提出了一种 T-S 模糊 MAS 的通用稳定性分析方法。此外，还利用线性二次调节器方法研究了能量成本约束问题。最后，通过数值例子说明了所提出的理论方法的有效性以及与现有结果相比的改进性能。
