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Design of a novel switched fault estimator with adaption law for non-linear switched systems and application to chemical systems

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Abstract

This paper presents a novel approach to concurrently designing an adaptive fault estimator and a persistent dwell-time switching law for switched systems incorporating non-linear Lipschitz terms. The adaptation law is formulated using multiple Lyapunov functions, ensuring accurate estimation of system faults and H∞ performance for the estimation error dynamics. Optimal decision coefficients for non-linear terms are computed to enhance problem feasibility and improve estimator performance. The switching law is tailored to fulfill the weightless H∞ criterion with a physical rationale. Formulated using linear matrix inequalities, the design requirements are easily implementable, enabling common solvers to attain estimator gains. The proposed estimator is applied to a practical chemical system, showcasing effective reduction of disturbance effects on fault estimation error and increased accuracy in estimation. Simulation results corroborate the estimator's performance.

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Authors and Affiliations

  1. Hebei Chemical & Pharmaceutical College, Shijiazhuang, 050026, China

    Guangshu Song

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  1. Guangshu Song
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Guangshu Song: Writing—Original draft preparation, Conceptualization, Supervision, Project administration.

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Correspondence to Guangshu Song.

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Song, G. Design of a novel switched fault estimator with adaption law for non-linear switched systems and application to chemical systems. Multiscale and Multidiscip. Model. Exp. and Des. (2024). https://doi.org/10.1007/s41939-024-00459-7

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