Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching
Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching
复制标题
完美/不完美前提匹配下多项式模糊模型控制系统的稳定性分析
DOI：
10.1049/iet-cta.2010.0619
复制
发表时间：
2011
影响因子：
2.6
通讯作者：
Lam H
中科院分区：
文献类型：
--
作者：
Lam H
本文提出了一种改进的基于平方和（SOS）的多项式模糊模型控制系统的稳定性分析方法，该系统由一个多项式模糊模型和一个多项式模糊控制器组成。两种情况下，即完美和不完美的前提匹配，被认为是。在理想的前提匹配下，多项式模糊模型和多项式模糊控制器具有相同的前提隶属度函数。当采用不同的隶属度函数时，福尔斯会陷入不完全前提匹配的情况。基于李雅普诺夫稳定性理论，改进的基于SOS的稳定性条件，推导出确定系统的稳定性和方便的控制器综合。仿真实例验证了稳定性分析的结果，证明了该方法的有效性。
This study presents an improved sum-of-squares (SOS)-based stability analysis result for the polynomial fuzzy-model-based control system, formed by a polynomial fuzzy model and a polynomial fuzzy controller connected in a closed loop. Two cases, namely perfect and imperfect premise matching, are considered. Under the perfect premise matching, the polynomial fuzzy model and polynomial fuzzy controller share the same premise membership functions. While different sets of membership functions are employed, it falls into the case of imperfect premise matching. Based on the Lyapunov stability theory, improved SOS-based stability conditions are derived to determine the system stability and facilitate the controller synthesis. Simulation examples are given to verify the stability analysis results and demonstrate the effectiveness of the proposed approach.
影响因子：
11.9
作者：
H. Lam;M. Narimani
通讯作者：
H. Lam;M. Narimani