Sampled-Data Output-Feedback Tracking Control for Interval Type-2 Polynomial Fuzzy Systems
Sampled-Data Output-Feedback Tracking Control for Interval Type-2 Polynomial Fuzzy Systems
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DOI：
10.1109/tfuzz.2019.2907503
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发表时间：
2020-03
影响因子：
11.9
通讯作者：
Bo Xiao;H. Lam;Yan Yu;Yuandi Li
中科院分区：
文献类型：
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作者：
Bo Xiao;H. Lam;Yan Yu;Yuandi Li
本文研究了基于区间2型（IT 2）多项式模糊模型的跟踪控制系统的稳定性和性能，该系统由IT 2多项式模糊模型和IT 2多项式模糊控制器构成，基于输出反馈和采样结构。IT 2模糊集捕捉的非线性对象的不确定性。此外，考虑到控制策略的数字实现和只有系统输出是可用的，IT 2多项式模糊控制器是离散时间和输出反馈型。基于李雅普诺夫稳定性理论，考虑H_\infty$性能指标，分别进行了独立于隶属函数和依赖于隶属函数的稳定性分析，得到了以平方和表示的稳定性条件.在稳定性分析中考虑了隶属函数、系统状态和采样过程的信息，从而放宽了稳定性条件。仿真结果验证了所提出的跟踪控制方法的有效性。
In this paper, we investigate the stability and performance of the interval type-2 (IT2) polynomial fuzzy-model-based tracking control system, formed by an IT2 polynomial fuzzy model and an IT2 polynomial fuzzy controller, based on the output feedback and sampled-data structure. IT2 fuzzy sets are employed to capture the uncertainties of the nonlinear plant. Furthermore, considering the digital implementation of control strategy and only the system outputs are available, the IT2 polynomial fuzzy controller is of discrete time and output-feedback type. Both membership-function-independent and membership-function-dependent stability analysis, with the consideration of $H_\infty$ performance index, are conducted to develop stability conditions in terms of sum-of-square based on Lyapunov stability theory. The information of membership functions, system states, and sampling process are included in the stability analysis for the relaxation of stability conditions. Simulation examples are presented to verify the effectiveness of the proposed tracking control approach.