不确定性T-S模糊时滞系统的容错控制研究
Fault-Tolerant Control for Uncertain T-S Fuzzy Time-Delay Systems
摘要: 针对一类非线性连续系统，本文研究了其带有不确定时滞项的容错控制问题。首先通过构造T-S模糊模型使其更精确的逼近原系统，并通过构建Lyapunov函数的方法，证明所设计的模糊控制器能使闭环系统在执行器存在故障的情况下仍具有很好的鲁棒性。再利用线性矩阵不等式工具箱求解出增益矩阵的值并得出在可行条件下闭环系统是稳定的。最后通过数值仿真验证了该方法的有效性。
Abstract: This paper is concerned with fault-tolerant control for a class of nonlinear continuous systems with uncertainties and delay terms. Firstly, the T-S fuzzy model is constructed to approximate the original system more accurately, and the Lyapunov function is constructed, the robustness of the closed-loop system with actuator faults is guaranteed by the designed fuzzy controller. The value of gain matrix and the feasible conditions for the closed-loop system are proposed by solving linear matrix inequalities. Finally, the effectiveness of the method is verified by numerical simulation.
文章引用：吴丽珍, 金朝永, 张妙清. 不确定性T-S模糊时滞系统的容错控制研究[J]. 应用数学进展, 2020, 9(1): 109-119. https://doi.org/10.12677/AAM.2020.91014

参考文献

[1] 张乐, 井元伟, 杨红. 基于T-S模糊模型的离散不确定时滞系统的容错控制[J]. 系统仿真学报, 2007, 19(23): 5495-5499.
[2] 王铁超, 佟绍成. 一类不确定非线性系统的执行器故障模糊容错控制[J]. 模糊系统与数学, 2011, 25(2): 93-105.
[3] Liu, X.H., Wang, Y.C., Han, J. and Zhang, H. (2016) Robust Fault Estimation and Accommodation for a Class of T-S Fuzzy Systems with Local Nonlinear Models. Circuits, Systems, and Signal Processing, 35, 3506-3530.
[Google Scholar] [CrossRef] 
[4] 张伟, 佟绍成. 基于观测器的一类模糊时滞系统的容错控制[J]. 模糊系统与数学, 2013, 27(1): 104-112.
[5] 赵斐斐, 纪洲鹏, 白忠玉. 一类非线性离散时滞互联系统的鲁棒H∞容错控制[J]. 海南师范大学学报: 自然科学版, 2016, 29(1): 11-16.
[6] 黄鹤, 谢德晓, 张登峰, 王执铨. 基于T-S模糊模型的网络控制系统鲁棒H∞容错控制[J]. 系统工程与电子技术, 2010, 32(6): 1292-1298.
[7] 刘晓勇, 佟绍成. 基于T-S模糊模型的网络化控制系统的鲁棒容错控制[J]. 辽宁工业大学学报: 自然科学版, 2012, 32(2): 71-77.
[8] 朱芳来, 侯永建, 赵旭东, 杨俊起. 非线性切换系统基于观测器的容错控制器设计[J]. 控制与决策, 2017, 32(10): 1855-1863.
[9] 蔡卫峰, 王执铨. 一类不确定非线性时滞系统的保成本容错控制[J]. 南京理工大学学报: 自然科学版, 2008, 32(6): 743-748.
[10] 李炜, 蒋栋年. 基于T-S模糊模型的非线性网络化控制系统的H∞鲁棒容错控制[J]. 控制与决策, 2010, 25(4): 598-604.
[11] Sun, S.X., Zhang, H.G., Wang, Y. and Cai, Y. (2018) Dynamic Output Feedback-Based Fault-Tolerant Control Design for T-S Fuzzy Systems with Model Uncertainties. ISA Transactions, 81, 32-45.
[12] Zhu, B., Zhang, Q., Da, K. and Li, H.Y. (2005) Robust Fault-Tolerant Guaranteed Cost Control for Fuzzy Descriptor System with Uncertain Parameters. Journal of Northeastern University, 26, 613-616.
[13] Qian, Z., Zhang, G. and Yang, X. (2006) Robust Fault-Tolerant Guaranteed Cost Control for a Class of Uncertain Nonlinear Time-Delay Systems. 2006 6th World Congress on Intelligent Control and Automation, Dalian, 21-23 June 2006, 3948-3952.
[14] Qiu, J.Q., Ren, M.F., Xi, D.-N., et al. (2010) Fault-Tolerant Control Design for a Class of T-S Fuzzy Systems with Time Delays and Sensor Faults. 2010 International Conference on Machine Learning and Cybernetics, Qingdao, 11-14 July 2010, 624-629.
[Google Scholar] [CrossRef] 
[15] Tong, S., Yang, G. and Zhang, W. (2011) Observer-Based Fault-Tolerant Control against Sensor Failures for Fuzzy Systems with Time Delays. International Journal of Applied Mathematics and Computer Science, 21, 617-627.
[Google Scholar] [CrossRef] 
[16] Kharrat, D., Gassara, H., Hajjaji, A.E. and Chaabane, M. (2017) Adaptive Fuzzy Observer-Based Fault-Tolerant Control for Takagi-Sugeno Descriptor Nonlinear Systems with Time Delay. Circuits, Systems, and Signal Processing, 37, 1542-1561.
[Google Scholar] [CrossRef] 
[17] Qiao, L. and Yang, Y. (2018) Fault-Tolerant Control for T-S Fuzzy Systems with Sensor Faults: Application to a Ship Propulsion System. Journal of the Franklin Institute, 355, 4854-4872.
[Google Scholar] [CrossRef] 
[18] Gassara, H., Hajjaji, A.E. and Chaabane, M. (2010) Robust Control for T-S Fuzzy Systems with Time-Varying Delay. International Journal of Systems Science, 41, 1481-1491.
[Google Scholar] [CrossRef] 
[19] Chen, C.L., Feng, G. and Guan, X.P. (2005) Delay-Dependent Stability Analysis and Controller Synthesis for Discrete-Time T-S Fuzzy Systems with Time Delays. IEEE Transactions on Fuzzy Systems, 13, 630-643.
[Google Scholar] [CrossRef] 
[20] Zhang, H., Han, J., Luo, C. and Wang, Y. (2017) Fault-Tolerant Control of a Nonlinear System Based on Generalized Fuzzy Hyperbolic Model and Adaptive Disturbance Observer. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 2289-2300.
[21] 杜小明. 参数不确定时滞系统的鲁棒H∞容错控制研究[D]: [硕士学位论文]. 石家庄: 河北科技大学, 2010.

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