中文摘要：

针对非线性系统的镇定控制问题,设计了一种新型的基于T-S模糊模型的非-并联分布补偿（PDC）控制器.在控制器设计的过程中,采用了一种新颖的模糊李亚普诺夫函数和一种松弛变量技术.这些措施的应用可以为控制器的设计引入更多的自由度,因而可以获得比以往结果保守性更小的镇定条件.由于控制条件是以线性矩阵不等式形式给出的,因此可以很方便地利用Matlab工具箱来进行求解.最后用一个仿真算例验证了所提方法的有效性.

英文摘要：

A new kind of non-PDC control scheme has been proposed for dealing with the problem of stabilizing nonlinear systems based on the Takagi-Sugeno fuzzy model.Both a novel fuzzy Lyapunov function and a slack variable technique have been applied in the process of control synthesis.Because more freedom could be introduced in virtue of the above measures,the obtained stabilization condition is less conservative than before.Indeed,all the results proposed in this paper are in terms of linear matrix inequality which is easy to be solved by using the Matlab tools.Finally,a numerical example is also provided to illustrate the effectiveness of the proposed approaches.