A novel design approach to state and fault estimation for interconnected systems using distributed observer

Yunfei Mu, Huaguang Zhang, Yuqing Yan and Yingchun Wang

Applied Mathematics and Computation, 2023, vol. 449, issue C

Abstract: This paper is devoted to the state and fault estimation design for continuous-time interconnected systems. By utilizing the associated information among subsystems, a novel unknown input method-based distributed observer synthesis scheme is presented to reconstruct system states and faults simultaneously. It is worth pointing out that our method has much broader applications, since the faults studied in each subsystem do not have to satisfy some constraints made in previous results such as having a known bound or the first derivative being equal to zero. By resorting to the Lyapunov theory and matrix transformation technique, some brand-new conditions are proposed to guarantee the stability of local error systems, by which observer gains can be solved in terms of linear matrix inequalities (LMIs). Particularly, all the conditions are expressed in the original system matrices rather than augmented matrices framework. Thus, computational complexity is reduced compared to previous related researches. At last, simulation experiments are shown to verify the validity of our distributed state and fault estimation scheme.

Keywords: Distributed state and fault estimation; Fault diagnosis; Interconnected systems; Observer design; Unknown input method (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001352

DOI: 10.1016/j.amc.2023.127966

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