Robust Fault Detection of Lipschitz Nonlinear Switched Systems Considering Disturbance Attenuation Level and Lipschitz C
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Robust Fault Detection of Lipschitz Nonlinear Switched Systems Considering Disturbance Attenuation Level and Lipschitz Constant Maximization Shadi Asgari1 · Hajar Atrianfar2 Amir Abolfazl Suratgar1
· MohamadGhasem Kazemi3 ·
Received: 18 March 2020 / Revised: 19 October 2020 / Accepted: 9 November 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract This paper deals with robust fault detection (FD) of continuous time Lipschitz nonlinear switched systems based on observer method. A switched observer with average dwell time (ADT) approach is designed using projection lemma wherein the Lipschitz constant is maximized and simultaneously the effect of disturbances is attenuated effectively. Lipschitz constant maximization makes the fault detection system robust against parametric and nonlinear uncertainties. One more degree of freedom is provided by applying projection lemma, which could be used to obtain smaller ADT value and disturbance attenuation level of the observer. Some simulation results are given to demonstrate the efficiency and performance of the proposed FD scheme for nonlinear switched systems. Keywords Average dwell time (ADT) · Disturbance attenuation level · Lipschitz constant maximization · Robust fault detection · Nonlinear switched systems · Projection lemma
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Hajar Atrianfar [email protected] Shadi Asgari [email protected] MohamadGhasem Kazemi [email protected] Amir Abolfazl Suratgar [email protected]
1
Distributed Intelligent Optimization Research Laboratory, Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
2
Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
3
Department of Electrical and Computer Engineering, Islamic Azad University, Gachsaran, Iran
Circuits, Systems, and Signal Processing
1 Introduction Reliable operation of today’s industrial systems is of great importance to avoid possible failures and damages. Hence, some necessary measures must be taken into consideration in monitoring and control system design. In this regard, fault diagnosis systems have played a vital role. Timely identification of a fault will provide the possibility to prevent its development and consequence drawback results. Various approaches for fault diagnosis have been presented according to the available facilities and information about the system. Nowadays, modern systems become more complicated, which have nonlinear behaviors, combination of continuous and discrete dynamics and so on. Nonlinear switched systems may be considered as one important class of modern systems to be controlled or monitored. A nonlinear switched system has nonlinear dynamic in each mode of operation. Thanks to physical constraints, the nonlinear behavior of a nonlinear system may be regarded as limited variations on the nonlinear terms, which may be defined as Lipschitz nonlinearity. Among several fault diagnosis approaches in the literature [4,9,19,20,26,31,33,35, 36,40], observer-based methods may be conside
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