Zhao Tao, Dian Songyi
School of Electrical Engineering and Information, Sichuan University, Chengdu 610065, China.
School of Electrical Engineering and Information, Sichuan University, Chengdu 610065, China.
ISA Trans. 2017 Sep;70:248-259. doi: 10.1016/j.isatra.2017.05.001. Epub 2017 May 17.
This paper addresses a fuzzy dynamic output feedback H control design problem for continuous-time nonlinear systems via T-S fuzzy model. The stability of the fuzzy closed-loop system which is formed by a T-S fuzzy model and a fuzzy dynamic output feedback H controller connected in a closed loop is investigated with Lyapunov stability theory. The proposed fuzzy controller does not share the same membership functions and number of rules with T-S fuzzy systems, which can enhance design flexibility. A line-integral fuzzy Lyapunov function is utilized to derive the stability conditions in the form of linear matrix inequalities (LMIs). The boundary information of membership functions is considered in the stability analysis to reduce the conservativeness of the imperfect premise matching design technique. Two simulation examples are provided to demonstrate the effectiveness of the proposed approach.
本文研究了基于T-S模糊模型的连续时间非线性系统的模糊动态输出反馈H控制设计问题。利用李雅普诺夫稳定性理论研究了由T-S模糊模型和模糊动态输出反馈H控制器闭环连接所构成的模糊闭环系统的稳定性。所提出的模糊控制器与T-S模糊系统不具有相同的隶属函数和规则数，这可以提高设计的灵活性。利用线积分模糊李雅普诺夫函数推导了以线性矩阵不等式（LMI）形式表示的稳定性条件。在稳定性分析中考虑了隶属函数的边界信息，以降低不完美前提匹配设计技术的保守性。给出了两个仿真例子来说明所提方法的有效性。
