Wu Tai-Zu, Juang Yau-Tarng
Department of Electrical Engineering, National Central University, Chung-Li, 32001 Taiwan, ROC.
ISA Trans. 2008 Jul;47(3):279-85. doi: 10.1016/j.isatra.2008.01.002. Epub 2008 Apr 2.
This paper deals with the design of adaptive fuzzy sliding-mode controllers for the T-S fuzzy model based on the Lyapunov function. It is shown that the Lyapunov function can be used to establish fuzzy sliding surfaces by solving a set of linear matrix inequalities (LMIs). The design of the fuzzy sliding surfaces and the adaptive fuzzy sliding-mode controllers is proposed. The adaptive mechanism is also used to deal with unknown parameter perturbations and external disturbances. Two examples illustrate the feasibility of the proposed methods.
本文基于李雅普诺夫函数研究了T-S模糊模型的自适应模糊滑模控制器设计。结果表明，通过求解一组线性矩阵不等式（LMI），李雅普诺夫函数可用于建立模糊滑模面。提出了模糊滑模面和自适应模糊滑模控制器的设计方法。自适应机制还用于处理未知参数摄动和外部干扰。两个例子说明了所提方法的可行性。
