Robust H∞ adaptive descriptor observer design for fault estimation of uncertain nonlinear systems
Robust H∞ adaptive descriptor observer design for fault estimation of uncertain nonlinear systems
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DOI：
10.1016/j.jfranklin.2014.08.019
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发表时间：
2014-11
期刊：
影响因子：
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通讯作者：
Jian Zhang;A. Swain;S. Nguang
中科院分区：
文献类型：
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作者：
Jian Zhang;A. Swain;S. Nguang
针对非线性广义系统和正常系统同时存在执行器故障、传感器故障和非结构非参数不确定性的情况，提出了一种新的故障估计观测器。所考虑的故障可以是无界的，可以有多种形式，如突变故障，恒定故障和高频故障。基于李雅普诺夫稳定性理论，推导了该观测器具有H∞性能的充分条件，并将其表示为双线性矩阵不等式（BMIs），然后利用锥互补线性化（CCL）算法将其转化为拟凸线性矩阵不等式（LMIs）.仿真例子来说明所提出的观测器的有效性，为广义系统和正常系统，并已被证明比现有的一些方法的故障估计。
This paper proposes a novel fault estimation observer for both nonlinear descriptor and normal systems, which are subjected simultaneously to actuator faults, sensor faults and unstructured non-parametric uncertainties. The considered faults can be unbounded and can have many forms, such as abrupt faults, constant faults and high-frequency faults. Sufficient conditions for the existence of the proposed observer with an H∞ performance have been derived based on Lyapunov stability theory, and expressed in terms of Bilinear Matrix Inequalities (BMIs) which are then converted into quasi-convex Linear Matrix Inequalities (LMIs) by using the cone complementarity linearization (CCL) algorithm. Simulated examples are presented to illustrate the effectiveness of the proposed observer for both descriptor systems and normal systems and have been shown to perform better than some of the existing methods of fault estimation.