State and Output Feedback Control of A Class of Fuzzy Systems with Mismatched Membership Functions
State and Output Feedback Control of A Class of Fuzzy Systems with Mismatched Membership Functions
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DOI：
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发表时间：
2014
影响因子：
5.2
通讯作者：
Hongyi Li;Xingjian Sun;Ieee Ligang Wu Senior Members;Ieee H.K. Lam Senior Members
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文献类型：
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作者：
Hongyi Li;Xingjian Sun;Ieee Ligang Wu Senior Members;Ieee H.K. Lam Senior Members
—本文关注具有不匹配隶属函数的区间2型（IT2）模糊系统的状态和输出反馈控制问题。 IT2 模糊模型和IT2 状态和输出反馈控制器不共享相同的隶属函数。引入了一种新的性能指标，该指标表示为扩展的耗散性能，是 H ∞ 、L 2 – L ∞ 、无源性能指标和耗散性能指标的推广。首先，考虑不匹配的隶属函数构建IT2 Takagi-Sugeno (T-S)模糊模型和控制器。其次，基于Lyapunov稳定性理论，分别设计IT2模糊状态控制器和输出反馈控制器，保证闭环系统渐近稳定并具有扩展的耗散性能。两种控制器的存在条件都是通过凸优化问题得到的，可以用标准软件来求解。最后，提供仿真结果来说明所提出方法的有效性。
—This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and the IT2 state and output feedback controllers do not share the same membership functions. A novel performance index, which is expressed as an extended dissipativity performance, is introduced to be a generalization of H ∞ , L 2 – L ∞ , passive and dissipativity performances indexes. Firstly, the IT2 Takagi-Sugeno (T-S) fuzzy model and the controllers are constructed by considering the mismatched membership functions. Secondly, on the basis of Lyapunov stability theory, the IT2 fuzzy state and out- put feedback controllers are designed respectively to guarantee that the closed-loop system is asymptotically stable with extended dissipativity performance. The existence conditions of the two kinds of controllers are obtained in terms of convex optimization problems, which can be solved by standard software. Finally, simulation results are provided to illustrate the effectiveness of the proposed methods.