Algorithms of stable adaptive observation of a multidimensional undefinite object

Tursunova Sadoqat Abdusalom qizi

Кимёвий технология. Назорат ва бошқарув · 2026-yil

Annotatsiya

This article presents an algorithm for simultaneously estimating the parameters and state coordinates of a multidimensional control object when some of its state variables are not directly measured. The inability to measure all state variables (coordinates) of an object is a well-known drawback of identification schemes. Such conditions require the construction of adaptive state observers. This work demonstrates that when identifying the parameters of a mathematical model for an uncertain multidimensional object, the asymptotic stability of the object and the convergence of its parameters to the model parameters are ensured, provided the input vector is sufficiently informative. The construction of adaptive tracking algorithms for both single-dimensional and multidimensional control objects is also proposed. The observer system operates in discrete time, and its adaptive parameters are optimized to minimize the maximum eigenvalue of the transfer matrix. During this modeling, it was found that convergence was slow in most scenarios. This is because the largest eigenvalues are located close to the unit circle. It was also discovered that using time-varying adaptive gains accelerates convergence compared to using fixed gains.

Maqola ma’lumotlari
MualliflarTursunova Sadoqat Abdusalom qizi
JurnalКимёвий технология. Назорат ва бошқарув
NashriyotТошкент давлат техника университети, «Ўзқурилишматериаллар» ДАК, «Ўзкимёсаноат» ДАК, «Совпластитал» ҚҚ, Ўзбекистон Интеллектуал мулк агентлиги
ISSN2181-1105, 1815-4840
Nashr sanasi2026-03-03
Jild2026
Son1
Betlar81-88
TilIngliz
Ilmiy sohaTexnika
DOI10.59048/2181-1105.1743
Indeksga qo‘shilgan2026-09-02

DOI: 10.59048/2181-1105.1743 · Maqolaning asl sahifasi

Ilmiy soha

Texnika

Iqtibos keltirish

APATursunova Sadoqat Abdusalom qizi (2026). ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT. Кимёвий технология. Назорат ва бошқарув, 2026(1), 81-88. https://doi.org/10.59048/2181-1105.1743
GOST (OAK)Tursunova Sadoqat Abdusalom qizi ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT // Кимёвий технология. Назорат ва бошқарув. – 2026. – T. 2026, № 1. – P. 81-88. – DOI: 10.59048/2181-1105.1743.
MLATursunova Sadoqat Abdusalom qizi. “ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT.” Кимёвий технология. Назорат ва бошқарув, 2026(1), 81-88, 2026. https://doi.org/10.59048/2181-1105.1743
ChicagoTursunova Sadoqat Abdusalom qizi. “ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT.” Кимёвий технология. Назорат ва бошқарув, 2026(1), 81-88 (2026). https://doi.org/10.59048/2181-1105.1743
HarvardTursunova Sadoqat Abdusalom qizi (2026) ‘ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT’, Кимёвий технология. Назорат ва бошқарув, 2026(1), 81-88. https://doi.org/10.59048/2181-1105.1743
BibTeX
@article{tursunovasadoqatabdusalomqizi2026,
  title = {ALGORITHMS OF STABLE ADAPTIVE OBSERVATION OF A MULTIDIMENSIONAL UNDEFINITE OBJECT},
  author = {Tursunova Sadoqat Abdusalom qizi},
  journal = {Кимёвий технология. Назорат ва бошқарув},
  year = {2026},
  volume = {2026},
  number = {1},
  pages = {81-88},
  doi = {10.59048/2181-1105.1743},
  url = {https://doi.org/10.59048/2181-1105.1743}
}

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