Design of robust fault detection observer for Takagi-Sugeno models using the descriptor approach
Design of robust fault detection observer for Takagi-Sugeno models using the descriptor approach
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DOI：
10.1007/s12555-011-0519-2
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发表时间：
2011-10
期刊：
影响因子：
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通讯作者：
M. Bouattour;M. Chadli;M. Chaabane;A. Hajjaji
中科院分区：
文献类型：
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作者：
M. Bouattour;M. Chadli;M. Chaabane;A. Hajjaji
本文讨论了同时受传感器和执行器故障以及未知有界干扰影响的 Takagi-Sugeno (T-S) 模糊模型的鲁棒故障检测观测器的设计。研究了一种基于描述符系统技术的观测器。事实上，通过将故障视为辅助状态变量，可以同时估计状态和故障。为了保证对干扰的最佳鲁棒性和对故障的敏感性，所开发的观测器结合了H−/H∞性能。然后，基于Lyapunov方法，给出渐近稳定性条件来设计观测器参数。为了得到计算中方便可靠的故障估计器，提出了迭代线性矩阵不等式(LMI)算法。该算法可以使用现有的数值工具轻松求解，可以最小化干扰的影响并最大化故障的影响。最后，提出数值算例来说明结果的有效性。
This paper deals with the design of a robust fault detection observer for a Takagi-Sugeno (T-S) fuzzy model affected by sensor and actuator faults and unknown bounded disturbances simultaneously. An observer based on the technique of descriptor systems is studied. Indeed, by considering faults as auxiliary state variables, both states and faults are estimated simultaneously. In order to guarantee the best robustness to disturbances and sensitivity to faults, the developed observer combine theH−/H∞performances. Then, based on Lyapunov method, asymptotic stability conditions are given to design the observer parameters. In order to get convenient and reliable faults estimator in computations, an iterative linear matrix inequality (LMI) algorithm is developed. This algorithm, solved easily using existing numerical tools, allows to minimize influences of disturbances and maximize the ones of faults. Finally, a numerical example is proposed to illustrate the effectiveness of the result.