Restricted dynamic observer error linearizability

Lee, Hong-Gi; Kim, Kyung-Duk; Jeon, Hong-Tae

doi:10.1016/j.automatica.2014.12.037

Cited by 10 publications

(2 citation statements)

References 27 publications

(29 reference statements)

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“…Krener and Isidori [25] and Bestel and Zeits [26] pioneered dynamic error linearization. Since then, as a topic of significant interest to a large number of researchers, multiple strategies for further developing it to various classes have been offered [27][28][29]. One of the most compelling arguments in favor of linearization is that it ensures the observer's stability during fault detection.…”

Section: Introductionmentioning

confidence: 99%

Designing an Efficient Observer for the Non-Linear Lipschitz System to Troubleshoot and Detect Secondary Faults Considering Linearizing the Dynamic Error

Mobki¹,

Sedighi²,

Azizi

et al. 2022

FU Mech Eng

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The presence of faults in a system leads to a lower value for efficiency, accuracy and speed, and, in some cases, even a complete breakdown. Thus, early fault detection is a major factor in efficiency and productivity of the procedure. In recent decades, many research studies have been conducted on troubleshooting and secondary fault detection. The current work presents an efficient and novel observer design capable of stabilizing the residue and dynamic error for the nonlinear Lipschitz systems with faults as well as a troubleshooting analysis and determining the formation of secondary faults in defective systems. The observer is designed based on linearizing dynamic error considering uncertainty, disturbance, and defects by employing non-linear gain factors instead of using state transformation. The dynamic error and residue stabilization of a non-linear faulty system have been discussed as well as the likelihood of secondary fault generation. The results indicate that the observer is able to determine fault-emergence, fault-disappearance and secondary fault formation well and quite fast.

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Section: Introductionmentioning

confidence: 99%

Designing an Efficient Observer for the Non-Linear Lipschitz System to Troubleshoot and Detect Secondary Faults Considering Linearizing the Dynamic Error

Mobki¹,

Sedighi²,

Azizi

et al. 2022

FU Mech Eng

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show abstract

“…The latter is beginning with a group of necessary and sufficient conditions for observer canonical form (OCF) of single output system proposed by Krener and Isidori (1983). Then many scholars popularized this theory (See in Krener and Respondek (1985), Xia and Gao (1989) and Hou and Pugh (1999) for the multi-outputs system, in Lee (2017) for verifiable conditions, in Lee et al (2015) for restricted dynamic observer error linearizability and the reference herein).…”

Section: Introductionmentioning

confidence: 99%

Partial observer canonical form for multi-output nonlinear forced system: a new method

Wang

et al. 2020

JIMSE

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PurposeThe purpose of this paper is to investigate the design method of partial observer canonical form (POCF), which is one of the important research tools for industrial plants.Design/methodology/approachMotivated by the two-steps method proposed in Xu et al. (2020), this paper extends this method to the case of Multi-Input Multi-Output (MIMO) nonlinear system. It decomposes the original system into two subsystems by observable decomposition theorem first and then transforms the observable subsystem into OCF. Furthermore, the necessary and sufficient conditions for the existing of POCF are proved.FindingsThe proposed method has a wide range of applications including completely observable nonlinear system, noncompletely observable nonlinear system, autonomous nonlinear system and forced nonlinear system. Besides, comparing to the existing results (Saadi et al., 2016), the method requires less verified conditions.Originality/valueThe new method concerning design POCF has better plants compatibility and less validation conditions.

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Remarks on Discrete-time Multi-output Nonlinear Observer Canonical Form

Lee

Hong

2018

Int. J. Control Autom. Syst.

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Restricted dynamic observer error linearizability

Cited by 10 publications

References 27 publications

Designing an Efficient Observer for the Non-Linear Lipschitz System to Troubleshoot and Detect Secondary Faults Considering Linearizing the Dynamic Error

Designing an Efficient Observer for the Non-Linear Lipschitz System to Troubleshoot and Detect Secondary Faults Considering Linearizing the Dynamic Error

Partial observer canonical form for multi-output nonlinear forced system: a new method

Remarks on Discrete-time Multi-output Nonlinear Observer Canonical Form

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