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Observer based fault detection for two dimensional systems described by Roesser models

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Abstract

Fault detection and isolation for two dimensional (2-D) systems represent a great challenge in both theoretical development and applications. 2-D systems have been commonly represented by the Roesser Model and the Fornasini and Marchesini (F–M) model. Research on fault detection and isolation has been carried out using observer-based methods for the F–M model. In this paper, an observer based fault detection strategy is investigated for systems modelled by the Roesser model. Using the 2-D polynomial matrix technique, a dead-beat observer is developed and the state estimate from the observer is then input to a residual generator to monitor occurrence of faults. An enhanced realization technique is combined to achieve efficient fault detection with reduced computations. Simulation results indicate that the proposed method is effective in detecting faults for systems without disturbances as well as those affected by unknown disturbances.

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Acknowledgments

The financial support from Natural Sciences and Engineering Research Council of Canada is gratefully appreciated.

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  1. School of Engineering, Laurentian University, Sudbury, ON , P3E 2C6, Canada

    Zhenheng Wang & Helen Shang

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  1. Zhenheng Wang
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  2. Helen Shang
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Correspondence to Helen Shang.

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Wang, Z., Shang, H. Observer based fault detection for two dimensional systems described by Roesser models. Multidim Syst Sign Process 26, 753–775 (2015). https://doi.org/10.1007/s11045-014-0279-2

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