Piecewise Fuzzy Model Construction and Controller Design based on Piecewise Lyapunov Function
Piecewise Fuzzy Model Construction and Controller Design based on Piecewise Lyapunov Function
复制标题
DOI：
10.1109/acc.2007.4283058
复制
发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
H. Ohtake;Kazuo Tanaka;Hua O. Wang
中科院分区：
文献类型：
--
作者：
H. Ohtake;Kazuo Tanaka;Hua O. Wang
本文提出了按任意仿射超平面划分的分段模糊模型构造和基于所谓分段李雅普诺夫函数的控制器设计。在我们以前的论文中，我们提出了任意划分超平面的切换模糊模型构造方法.然而，我们假设分割平面包含原点，即在文件中的线性超平面。本文提出了一种分段模糊模型的构造方法，其超平面可以任意划分，且允许不通过原点。与常规方法相比，我们可以得到更紧密地覆盖非线性动力学的扇区。利用划分超平面系数构造的连续矩阵，构造了在划分超平面划分区域边界上连续的分段模糊模型。此外，我们推导出控制器的设计条件的基础上，所谓的分段李雅普诺夫函数的线性矩阵不等式。
This paper presents piecewise fuzzy model construction divided by arbitrary affine hyper-planes and controller design based on the so-called piecewise Lyapunov function. In our previous papers, we proposed the switching fuzzy model construction method with arbitrary dividing hyper- planes. However, we assumed that the dividing planes contain the origin, that is, linear hyper-planes in the papers. In this paper, we propose piecewise fuzzy model construction method with arbitrary dividing hyper-planes which are permitted not to pass through the origin. We can obtain sectors which can cover nonlinear dynamics more tightly than ordinary method. By utilizing continuity matrices which are constructed from coefficients of dividing hyper-planes, we construct piecewise fuzzy model which is continuous on boundaries of divided regions caused by dividing planes. Moreover, we derive controller design conditions based on the so-called piecewise Lyapunov function in terms of LMIs.