A new structural approach for ARRs generation from linear &amp;amp; linearized bond graphs

Sia, K.; Namaane, A.; M'Sirdi, Kouider

doi:10.1109/ccca.2011.6031536

Cited by 6 publications

(13 citation statements)

References 5 publications

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“…It results consequently, the following known theorem enounced by [5] [7]. It provides the rule to compute the BG-rank( ) from the BGD.…”

Section: B Bond-graph Rank Of the State Matrix From Bgdmentioning

confidence: 98%

“…The algebraic criterion of structural state observability of linear time invariant (LTI) continuous systems is announced by C. Sueur et al [6], and it is recalled hereafter.…”

Section: A Structural State Observability From State Space Modelmentioning

confidence: 99%

“…The implementation of the propriety 1 to compute the BGrank( ) by calculating the different minors meet some complex manipulations especially in the case of large scale bond-graphs: (1) it is a recurrent algorithm; it starts by calculate the higher minor, its successor, and so on until finding a none null minor, and (2) for each minor, all the causal cycle families (or the singular causal cycles families) must be enumerated and their causal gain must be calculated [6].…”

Section: Propriety 1: Bg-rank Of the State Matrix From Bgimentioning

confidence: 99%

“…The criterion of the bond graph rank of the observation matrix, noted BG-rank( ) is announced by [6], and it is recalled hereafter:…”

Section: E Bond-graph Rank Of the Observation Matrixmentioning

confidence: 99%

“…The aim interest of the present paper is to take benefit of the advanced graph theory to provide simple graph tools based proof of the two criterions of state structural observability and controllability of linear and linearized bond-graphs that are initially established by using the matrix algebra C. Sueur & G.D. Tanguy [5] and S. Rimaux & G.D. Tanguy [7]. It imports to note that in the case of linearized bond-graphs, Internal Modulated Power Sources (IMPS) can emerge due to the procedure of first order Taylor development [9]; they are represented by dashed lines and box ( fig.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the state structural observability and controllability of linear and linearized bond graphs

Sia

Namaane

M'Sirdi

2012

Ccca12

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“…It results consequently, the following known theorem enounced by [5] [7]. It provides the rule to compute the BG-rank( ) from the BGD.…”

Section: B Bond-graph Rank Of the State Matrix From Bgdmentioning

confidence: 98%

“…The algebraic criterion of structural state observability of linear time invariant (LTI) continuous systems is announced by C. Sueur et al [6], and it is recalled hereafter.…”

Section: A Structural State Observability From State Space Modelmentioning

confidence: 99%

Section: Propriety 1: Bg-rank Of the State Matrix From Bgimentioning

confidence: 99%

“…The criterion of the bond graph rank of the observation matrix, noted BG-rank( ) is announced by [6], and it is recalled hereafter:…”

Section: E Bond-graph Rank Of the Observation Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the state structural observability and controllability of linear and linearized bond graphs

Sia

Namaane

M'Sirdi

2012

Ccca12

Self Cite

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Fault Detection and Isolation of Landing Gear Retraction/ Extension Hydraulic System Based on BG and GARRs

Cao*¹,

Duan²,

Li³

et al. 2022

Preprint

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Considering the landing gear's R/E hydraulic system is nonlinear in nature, identifying and isolating its defects is not straightforward. Using the power bond graph (BG), analytical redundancy relations (ARRs) are derived based on the fundamental principle of energy conservation. Boolean logic variables are then introduced to describe the operating state of the system, and finally, global analytic redundancy relations (GARRs) are produced. It is given the corresponding residuals from the GARRs and mapped to the fault signature matrix (FSM) for the purpose of assessing its detectability and isolation. Different progressive types of deficiencies have been studied, including filter blockage, actuator leaks, and landing gear selector valve reversing stuck. The residuals against threshold range results for the injected faults calculated in MATLAB/Simulink showed that this method can considerably detect the faults. In complex nonlinear systems, such as landing gear R/E hydraulic systems, the research methodology can be used to detect faults and monitoring of statuses.

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Fault Detection of Landing Gear Retraction/Extension Hydrau-lic System Based on Bond Graph-linear Fractional Transfor-mation Technique and Interval Analytic Redundancy Relations

Cao¹,

Duan²,

Li³

et al. 2022

Preprint

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Various factors, such as uncertainty of component parameters and uncertainty of sensor meas-urement values, contribute to the difficulty of fault detection in the landing gear retrac-tion/extension hydraulic system. In this paper, we introduce linear fractional transformation technology and uncertainty analysis theory for the construction of the diagnostic bond graph of the landing gear retraction/extension hydraulic system. In this way, interval analytical redundancy relations and fault signature matrix can be derived. Using the fault signature matrix, existing faults of the system can be preliminarily detected and isolated. Additionally, interval analytical re-dundancy relations can be used to detect system faults in detail, and cases analysis can be carried out to determine if the actuator is externally or internally leaky, and if the landing gear selector valve is reversing stuck. Compared to the traditional analytical redundancy relations, this method takes into account the negative factors of uncertainty; and compared to the traditional absolute diagnostic threshold, the interval diagnostic threshold is more accurate and sensitive.

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A new structural approach for ARRs generation from linear & linearized bond graphs

Cited by 6 publications

References 5 publications

On the state structural observability and controllability of linear and linearized bond graphs

On the state structural observability and controllability of linear and linearized bond graphs

Fault Detection and Isolation of Landing Gear Retraction/ Extension Hydraulic System Based on BG and GARRs

Fault Detection of Landing Gear Retraction/Extension Hydrau-lic System Based on Bond Graph-linear Fractional Transfor-mation Technique and Interval Analytic Redundancy Relations

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