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A novel strategy for fault estimation in Lipschitz nonlinear switched systems with discrete-time context using dissipativity theory

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Abstract

The existing estimators for discrete-time Lipschitz switched systems have several main weaknesses, including the inability to estimate time-varying faults, the conservative structure of the switching pattern, and the inability to reduce the effect of disturbances on the estimation error using a non-weighted criterion. To address these weaknesses, a robust discrete-time estimator with a persistent dwell-time structure is proposed based on dissipative theory. In this new scheme, the fault’s time-varying dynamics are defined and incorporated into the state space equations. By developing the estimator using the augmented state space and dissipative property conditions, it becomes capable of estimating time-varying faults and mitigating the impact of disturbances on the estimation error. Overcoming the challenge of converting the dissipative property conditions into a feasibility problem in a linear matrix inequality context is a noteworthy achievement of this research. On the other hand, the adoption of the persistent dwell-time structure, as opposed to the average dwell-time structure, enables the assurance of stability across a broader range of switching patterns. Furthermore, it establishes a non-weighted criterion to attenuate disturbances, imbuing the process of disturbance attenuation with tangible physical meaning. Consequently, this estimator becomes compatible with a broader range of keying systems. To evaluate the proposed design, a simulation of a chemical plant is conducted. The results obtained from the simulation validate the effectiveness of the suggested design.

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Authors and Affiliations

  1. Department of Software Engineering, Hebei Software Institute, Hebei, 071000, Baoding, China

    Huigang Li

  2. Department of Mechanical Engineering, Hebei Petroleum University of Technology, Hebei, 067000, Chengde, China

    Guoyong Wang

Authors
  1. Huigang Li
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  2. Guoyong Wang
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Contributions

Huigang LI: methodology, software, validation, formal analysis. Guoyong Wang: writing—original draft preparation, conceptualization, supervision, project administration.

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Correspondence to Guoyong Wang.

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Li, H., Wang, G. A novel strategy for fault estimation in Lipschitz nonlinear switched systems with discrete-time context using dissipativity theory. Multiscale and Multidiscip. Model. Exp. and Des. (2024). https://doi.org/10.1007/s41939-024-00377-8

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