Fault Detection and Isolation of Nonlinear Systems: An Unknown Input Observer Approach With Sum-of-Squares Techniques

作者：Xu Jun^*; Lum Kai Yew; Xie Lihua; Loh Ai Poh

来源：Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, 2012, 134(4): 041005.

DOI：10.1115/1.4006074

This paper presents a novel nonlinear unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems. By using sum-of-squares (SOS) theory and Lie geometry as the main tools, we demonstrate how to relax the rank constraint in the traditional UIO approach and simplify the design procedure, especially for the polynomial nonlinear systems. Meanwhile, we show that the detection and isolation thresholds based on the L-2 gains can be easily obtained via optimization formulated in terms of SOS. Simulation examples are given to illustrate the design procedure and the advantages. [DOI: 10.1115/1.4006074]

• 出版日期2012-7
• 单位南阳理工学院