Dong Jiuxiang, Wang Youyi, Yang Guang-Hong
College of Information Science and Engineering and the Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, China.
IEEE Trans Syst Man Cybern B Cybern. 2009 Oct;39(5):1245-58. doi: 10.1109/TSMCB.2009.2014961. Epub 2009 Mar 24.
This paper is concerned with the problem of designing fuzzy controllers for a class of nonlinear dynamic systems. The considered nonlinear systems are described by T-S fuzzy models with nonlinear local models, and the fuzzy models have fewer fuzzy rules than conventional T-S fuzzy models with local linear models. A new fuzzy control scheme with local nonlinear feedbacks is proposed, and the corresponding control synthesis conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for fuzzy control synthesis, the new proposed control design method is based on fewer fuzzy rules and less computational burden. Moreover, the local nonlinear feedback laws in the new fuzzy controllers are also helpful in achieving good control effects. Numerical examples are given to illustrate the effectiveness of the proposed method.
本文关注一类非线性动态系统的模糊控制器设计问题。所考虑的非线性系统由具有非线性局部模型的T-S模糊模型描述，且该模糊模型的模糊规则比具有局部线性模型的传统T-S模糊模型更少。提出了一种具有局部非线性反馈的新型模糊控制方案，并根据一组线性矩阵不等式（LMI）的解给出了相应的控制综合条件。与现有的模糊控制综合方法相比，新提出的控制设计方法基于更少的模糊规则且计算负担更小。此外，新型模糊控制器中的局部非线性反馈律也有助于实现良好的控制效果。给出了数值例子以说明所提方法的有效性。
