Control Synthesis of Discrete-Time T–S Fuzzy Systems Based on a Novel Non-PDC Control Scheme
Control Synthesis of Discrete-Time T–S Fuzzy Systems Based on a Novel Non-PDC Control Scheme
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DOI：
10.1109/tfuzz.2012.2210049
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发表时间：
2013-02
影响因子：
11.9
通讯作者：
Xiangpeng Xie;Hongjun Ma;Yan Zhao;Da‐Wei Ding;Yingchun Wang
中科院分区：
文献类型：
--
作者：
Xiangpeng Xie;Hongjun Ma;Yan Zhao;Da‐Wei Ding;Yingchun Wang
本文提出了 Takagi-Sugeno (T-S) 模糊形式的离散时间非线性系统的宽松稳定条件。利用模糊隶属函数的代数性质，提出了一种基于一类新的模糊Lyapunov函数的新型非并行分布式补偿（non-PDC）控制方案。因此，通过应用新的松弛变量技术，开发了底层闭环模糊系统的宽松稳定条件。特别是，一些现有的模糊Lyapunov函数和非PDC控制方案分别是新Lyapunov函数和模糊控制方案的特例。最后，提供两个数值例子来说明该方法的有效性。
This paper proposes relaxed stabilization conditions of discrete-time nonlinear systems in the Takagi-Sugeno (T-S) fuzzy form. By using the algebraic property of fuzzy membership functions, a novel nonparallel distributed compensation (non-PDC) control scheme is proposed based on a new class of fuzzy Lyapunov functions. Thus, relaxed stabilization conditions for the underlying closed-loop fuzzy system are developed by applying a new slack variable technique. In particular, some existing fuzzy Lyapunov functions and non-PDC control schemes are special cases of the new Lyapunov function and fuzzy control scheme, respectively. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.