Joint State and Fault Estimation for Discrete-Time Networked Systems with Unknown Measurement Delays
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Joint State and Fault Estimation for Discrete-Time Networked Systems with Unknown Measurement Delays Shun Jiang1
· Qinghang Zhang1 · Feng Pan1 · Zhihai Wu1
Received: 23 October 2019 / Revised: 5 October 2020 / Accepted: 10 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract This paper addresses the joint state and fault estimation problem for a class of discretetime networked systems with unknown measurement delays. A novel augmented observer is developed to simultaneously estimate system states, fault signals and the perturbed term caused by measurement delays. For this purpose, an augmented descriptor system is first established by considering the faults and the perturbed term as auxiliary state vectors. Then, a modified state-space observer is constructed to estimate the extended state. Intensive stability analysis is carried out to obtain the sufficient condition for the existence of the desired estimator, and the corresponding optimal observer parameters can be co-designed by solving a convex optimization problem. Finally, a numerical example is exploited to illustrate the effectiveness of the proposed joint estimation scheme. Keywords Fault estimation · Networked systems · Unknown measurement delay · Observer design
1 Introduction Nowadays, industrial systems have become increasingly complex and expensive, which have a higher demand in the reliability and safety. Unexpected faults or failures
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Shun Jiang [email protected] Qinghang Zhang [email protected] Feng Pan [email protected] Zhihai Wu [email protected]
1
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Department of Automation, Jiangnan University, Wuxi 214122, People’s Republic of China
Circuits, Systems, and Signal Processing
in engineering practice may induce performance degradation and even catastrophic accidents. Consequently, it is paramount to detect and identify faults so that some necessary protective actions can be taken in the incipient stage of the occurrence. Fault diagnosis (FD) and fault-tolerant control (FTC) have been recognized as the most effective techniques to improve the reliability and security of the controlled systems. The past decades have witnessed a surge of an increasing research interest on FD and FTC. Accordingly, a wealth of literature has appeared on these topics, see, e.g., [2,4,8,14,30,31,34,38] and the references therein. Among various approaches of fault diagnosis, the model-based fault diagnosis is the most favored and has made enormous progress in recent years [16,20,25,29,37,39,40]. Generally speaking, a typical fault diagnosis process consists of fault detection, fault isolation and fault estimation. As a prerequisite for further fault accommodation, fault estimation is able to provide the magnitude and shape of the fault concerned, which plays an important role in the active FTC. Apart from the adverse influence from the faults or failures, the insertion of communication networks into the modern engineer
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