Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

Ayati, Moosa; Salmasi, Farzad Rajaei

doi:10.1002/acs.2553

Cited by 11 publications

(6 citation statements)

References 19 publications

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“…Remark 2.3. In the literature (e.g., previous studies [3][4][5][6][7][8][9][10][11][12][13][14]31]), the ADT technique including R-ADT has been widely used in solving the stability and control issue of impulsive and switched systems. Specifically, when the flow is a stabilizing factor, it is allowed the impulses to be a destabilizing factor.…”

Section: Preliminaries and Problem Descriptionmentioning

confidence: 99%

“…Some fundamental contributions have been achieved on stability and controllability of impulsive systems, for example, see previous studies [1][2][3][4][5][6][7][8][9][10][11]. Among the methods for impulsive systems, the technique of average dwell time (ADT) including reverse ADT (R-ADT) [3] has become an useful tool in analyzing the stability and designing the impulsive control; for example, see previous studies [12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Full‐order impulsive observers for impulsive systems with unknown inputs

Tong

Liu

Yan

et al. 2023

Asian Journal of Control

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This paper studies full-order impulsive observers for impulsive systems with unknown inputs. Two types of full-order impulsive observers are designed respectively. The first type is Luenberger-type impulsive observer (LIO). The second type is for the observed system with eliminable unknown input, where the impulsive observer is allowed to have nonidentical dynamic structure with the observed system. The conditions via the average dwell time technique are derived for the existence of these two types of impulsive observers. It is shown that in the LIO, the observer's state tracks the observed system's state in the sense of input-to-state stability (ISS). Specifically, the observer's state track completely the observed system's state if the unknown input trends to zero. While in the second type of impulsive observer, the observer's state tracks completely the observed system's state regardless of the unknown input trends to zero. Finally, three examples with simulations are presented to demonstrate the effectiveness of the theoretical results. KEYWORDSaverage dwell time (ADT), impulsive observer, impulsive system, input-to-state stability (ISS)

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Section: Preliminaries and Problem Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Full‐order impulsive observers for impulsive systems with unknown inputs

Tong

Liu

Yan

et al. 2023

Asian Journal of Control

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“…Hence, it is quite desired that fault diagnosis method is designed for VC trains using advanced technique and learning-based identification algorithms. [20][21][22][23][24][25][26][27] For fault tolerant control of trains, some significant efforts have been made. An adaptive fault-tolerant sliding-mode control is designed for high-speed trains in the presence of actuator faults and uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis of virtually‐coupled trains by adaptive observer with pattern‐matched detection and reinforced identification

Gao,

Zhai,

Zhao

2024

Adaptive Control & Signal

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SummaryVirtual coupling is gaining in popularity as a promising development direction to maximize the rail‐line efficiency by minimizing the headway distance among trains in the presence of potentially encountered traction engines' faults with unknown amplitude, happening time and probability, which would be huge threat to the safety of trains without proper sensing and handling. This paper considers the fault diagnosis problem for virtually‐coupled multiple trains using adaptive observer design. In order to generate false‐free and timely fault alarming and relieving signals, an adaptive threshold function design is firstly given using a novel pattern‐matched gain technique with explicit consideration of model uncertainty. Then, reinforced regressor‐based fault identification algorithm is proposed to generate precise estimation of unknown fault values, activated and powered‐off by the fault alarming and relieving signals output by fault detection observer, with globally Lipschitz property and fast convergence performance. Finally, comparative and simulation results are given to demonstrate the effectiveness and advantages of proposed fault diagnosis algorithms.

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“…On the other hand, the researchers have applied various techniques in order to improve the precision of measuring the dimensions of micro/nano-structures such as the robust, adaptive and fuzzy controllers (Vagia and Tzes, 2008; Vatankhah and Asemani, 2017; Vatankhah et al, 2015). The sliding mode controller (SMC), as the most popular robust controller, is applied to decrease the error of complex nonlinear systems with model uncertainty (Aliakbari et al, 2013; Ayati and Salmasi, 2015; Rahmani, 2018; Rahnavard et al 2019; Rajaei et al, 2019b; Roozegar et al, 2017) Yau et al (2011) have been investigated the stabilization of an uncertain micro-electro-mechanical system by utilizing a fuzzy sliding mode control design. A frequency-independent approximation and a sliding mode control scheme have been proposed for a system of a micro-cantilever beam by Vagia (2012).…”

Section: Introductionmentioning

confidence: 99%

Stabilization of nonlinear vibrations of carbon nanotubes using observer-based terminal sliding mode control

Yousefpour

Vahidi-Moghaddam

Rajaei

et al. 2019

Transactions of the Institute of Measurement and Control

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This article is concerned with suppression of nonlinear forced vibration of a single-wall carbon nanotube conveying fluid based on the nonlocal elasticity theory and Euler–Bernoulli beam theory. Electrostatic actuation is considered as the control force for the suppression of carbon nanotube. Based on Galerkin approach, the governing nonlinear partial differential equation is reduced to an ordinary one. Since the sliding mode controller (SMC) does not assures finite time system stabilization and also causes chattering in the control input and consequently vibration in the system, terminal sliding mode controller (TSMC) is developed for the stabilization of carbon nanotube based on a disturbance observer. TSMC and disturbance observer suppress the vibrations of nanotube in the presence of external disturbances caused by the internal flow. Numerical simulation results are presented to illustrate the effectiveness and performance of the proposed control scheme in comparison to similar approaches. Simulation results show that the proposed control method successfully stabilizes the uncertain system in a finite time.

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Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

Cited by 11 publications

References 19 publications

Full‐order impulsive observers for impulsive systems with unknown inputs

Full‐order impulsive observers for impulsive systems with unknown inputs

Fault diagnosis of virtually‐coupled trains by adaptive observer with pattern‐matched detection and reinforced identification

Stabilization of nonlinear vibrations of carbon nanotubes using observer-based terminal sliding mode control

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