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Robust Fault Detection Observer Design for Nonlinear Distributed Parameter Systems
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LIU Pingyue，WU Huaining
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(National Key Laboratory of Science and Technology on Holistic Control,
Beihang University, Beijing 100191, China)
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Abstract This paper addresses the problem of robust fault detection observer (FDO) design for a class of nonlinear distributed parameter systems described by partial differential equations (PDEs). Firstly, applying modal decomposition techniques, the PDE system can be transformed to an equivalent infinitedimensional ordinary differential equations (ODE) system. Based on the spectrum of spatial differential operator, the ODE system can be represented by a finitedimensional slow subsystem and a coupled infinitedimensional fast subsystem. Subsequently, a finitedimensional FDO is designed based on the slow subsystem such that the normal residual system is asymptotically stable for all admissible unknown nonlinear dynamics and fast subsystem dynamics. Then, the corresponding timevarying threshold is proposed to implement fault detection. Finally, numerical simulations are performed to demonstrate the effectiveness of the developed FDO design methodology.
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Received: 12 October 2010
Published: 28 February 2011
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