Design of nonlinear robust diagnostic observers

Zhirabok, Alexey; Shumskii, A. E.; Solyanik, S. P.; Suvorov, Aleksey

doi:10.1134/s000511791709003x

Cited by 21 publications

(12 citation statements)

References 6 publications

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“…Remark If the system is linear and is described by matrix equations, one can formulate a strong definition of the disturbance

\rho (t)

contribution in the model and then solve the problem to minimize this contribution 33 . Here one can say only about weak sensitivity to the disturbance and minimality of the contribution in intuitive sense.…”

Section: Sub‐model Designmentioning

confidence: 99%

Interval observer design for nonlinear discrete‐time dynamic systems

Zhirabok,

Zuev,

Filaretov

2024

Adaptive Control & Signal

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SummaryThe problem of interval observer design for systems described by nonlinear models with uncertainties is considered. The problem is solved based on special mathematical technique (the algebra of functions) which allows obtaining solution for systems containing non‐smooth nonlinearities. The relations to design interval observer insensitive or having minimal sensitivity to the disturbance and estimating the prescribed nonlinear function of the state vector of the original system are derived. Theoretical results are illustrated by example.

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“…Remark If the system is linear and is described by matrix equations, one can formulate a strong definition of the disturbance

\rho (t)

Section: Sub‐model Designmentioning

confidence: 99%

Interval observer design for nonlinear discrete‐time dynamic systems

Zhirabok,

Zuev,

Filaretov

2024

Adaptive Control & Signal

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“…Remark 1. If the system is linear and is described by matrix equations, one can formulate the precise definition of the disturbance ρ(t) contribution in the model and then solve the problem to minimize this contribution [21]. Generally, one may call this weak sensitivity.…”

Section: General Solutionmentioning

confidence: 99%

“…The condition ΨD = 0 guarantees that the model is insensitive to the disturbance; this demand can be presented in the form [21] (…”

Section: Insensitivity To the Disturbancementioning

confidence: 99%

Virtual Sensors for Nonlinear Discrete-Time Dynamic Systems

et al. 2023

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The problem of virtual sensor design for nonlinear systems under the disturbance is investigated. Two different mathematical techniques are used to solve the problem: the algebra of functions and the logic-dynamic approach. The first one allows obtaining a general solution while the second one produces a solution for nonlinear systems by linear algebra methods. The virtual sensors are designed to be insensitive to the disturbance based on invariant functions. They estimate the prescribed function of the original system state vector. The practical example illustrates theoretical results.

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“…These techniques are based on analytical redundancy, which is a model that describes the diagnosed technical system. On diagnostics of robot drives, articles and monographs have been published [15][16][17][18][19][20][21][22][23][24][25][26], where approaches are considered both on the basis of the parametric approach and on the basis of continuous and discrete models of drives in the state space.…”

Section: Introductionmentioning

confidence: 99%

Diagnostics of robot drives based on DC motors by identifiability criterion of nonlinear discrete model in state space

Nikitin¹,

Trefilov²

2020

Instrumentation Engineering, Electronics and Telecommunications

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The paper deals with the formation of contextual grammars in the methods of complex scene recognition. It proposes the use of multi-level grammar, which includes the task of syntactic analysis of image sequences and the task of syntactic analysis of a scene taking into account the multi-level movement of objects. It is shown that the formation of grammar, describing both the structural information of the image and the interaction of images, is associated with the need to develop an algorithm to output grammar on a given set of dynamic images, which represent a learning sample. As a result of training, structural descriptions of images and descriptions of their relations are formed and later used for syntactic analysis of complex structure events. It is postulated that for dynamic scenes with multi-level movement and complex structure, which is constantly changing in time, it is reasonable to apply context grammar rules, and in this connection arises the concept of multi-level context grammar. Some basic principles of the theory of formal grammars inherent in structural methods of recognition are described.

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Design of nonlinear robust diagnostic observers

Cited by 21 publications

References 6 publications

Interval observer design for nonlinear discrete‐time dynamic systems

Interval observer design for nonlinear discrete‐time dynamic systems

Virtual Sensors for Nonlinear Discrete-Time Dynamic Systems

Diagnostics of robot drives based on DC motors by identifiability criterion of nonlinear discrete model in state space

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