Fault detection observer design for periodic piecewise linear systems. Issue 9 (3rd July 2020)

• Record Type: Journal Article
• Authors: Fan, Chenchen; Lam, James; Xie, Xiaochen
• Is Part Of: International journal of systems science. Volume 51:Issue 9(2020)
• Page Start: 1622
• Page End: 1636
• Publication Date: 2020-07-03
• Subjects: Fault detection -- H−/H∞ observer -- iterative algorithm -- periodic piecewise systems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1772399
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed 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 ∞ 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.