Observer-based Sliding Mode Control for Fractional Order Singular Fuzzy Systems

被引：0
|
作者：
Bingxin Li
Xuefeng Zhang
Xiangfei Zhao
Yaowei Liu
Xin Zhao
机构：
[1] Nankai University,Institute of Robotics and Automatic Information System (IRAIS) and the Tianjin Key Laboratory of Intelligent Robotic (tjKLIR)
[2] Shenzhen Research Institute of Nankai University,Institute of Intelligence Technology and Robotic Systems
[3] Northeastern University,College of Sciences
来源：
International Journal of Control, Automation and Systems | 2023年 / 21卷 / 9期
关键词：
Admissibility; fractional order singular fuzzy (FOSF); linear matrix inequality (LMI); observer-based; sliding mode control (SMC);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper, observer-based sliding mode control (SMC) for fractional order singular fuzzy (FOSF) systems with order 0 < α < 1 is studied. The non-fragile FOSF observer is designed to reconstruct the unmeasured states, and a novel fractional order integral sliding function is formulated. Then, the admissibility condition of the FOSF error system is derived, based on the linear matrix inequality (LMI) approach. By using the singular value decomposition approach, the strict LMI-based admissibility condition is improved. Based on the fractional order Lyapunov function and sliding surface, the fractional order SMC is constructed to ensure the reachability of the sliding surface. Two examples are given to illustrate the effectiveness of the methods proposed in the paper.
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页码：2879 / 2890
页数：11
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