Fault detection observer design for periodic piecewise linear systems

Chenchen Fan, James Lam and Xiaochen Xie

International Journal of Systems Science, 2020, vol. 51, issue 9, 1622-1636

Abstract: This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed $H_-/H_{\infty } $H−/H∞ performance index is introduced, which results in a trade-off between robustness to unknown input and sensitivity to a fault. Based on a class of Lyapunov functions with time-varying Lyapunov matrices, sufficient conditions are developed to investigate the existence of periodic piecewise fault detection observer with weighted $H_-/H_{\infty } $H−/H∞ performance. A tractable iterative algorithm is proposed to establish the desired periodic piecewise fault detection observer. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Date: 2020
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DOI: 10.1080/00207721.2020.1772399

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