Structural decomposition-based control synthesis for multivariable systems using oblique projection operators

Abdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, Jasur Sevinov

Кимёвий технология. Назорат ва бошқарув · 2026-yil

Annotatsiya

This paper proposes a novel approach to control synthesis for multivariable systems with algebraic constraints using oblique projection operators and their structural decomposition. The method transforms a standard control law into a structured form by decomposing the control input into constraint-satisfying and null-space components. A generalized oblique projector is constructed using a dual matrix, ensuring flexibility in shaping system properties. Furthermore, a recursive decomposition algorithm is developed, allowing the global projector to be represented as a sum of local operators corresponding to subsystem structures. The proposed framework enables modular control design, decoupling of interactions, and efficient implementation for large-scale systems. Theoretical properties of the operators are established, and the applicability of the method to constrained control problems is demonstrated. Furthermore, a recursive algorithm is introduced to decompose the global projection operator into local components associated with the subsystems. This decomposition not only reduces computational complexity but also enables a modular implementation, making the approach suitable for large-scale industrial systems.

Maqola ma’lumotlari
MualliflarAbdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, Jasur Sevinov
JurnalКимёвий технология. Назорат ва бошқарув
NashriyotТошкент давлат техника университети, «Ўзқурилишматериаллар» ДАК, «Ўзкимёсаноат» ДАК, «Совпластитал» ҚҚ, Ўзбекистон Интеллектуал мулк агентлиги
ISSN2181-1105, 1815-4840
Nashr sanasi2026-04-30
Jild2026
Son2
Betlar75-82
TilIngliz
Ilmiy sohaKimyo
DOI10.59048/2181-1105.1784
Indeksga qo‘shilgan2026-09-02

DOI: 10.59048/2181-1105.1784 · Maqolaning asl sahifasi

Ilmiy soha

Kimyo

Iqtibos keltirish

APAAbdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, & Jasur Sevinov (2026). STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS. Кимёвий технология. Назорат ва бошқарув, 2026(2), 75-82. https://doi.org/10.59048/2181-1105.1784
GOST (OAK)Abdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, Jasur Sevinov STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS // Кимёвий технология. Назорат ва бошқарув. – 2026. – T. 2026, № 2. – P. 75-82. – DOI: 10.59048/2181-1105.1784.
MLAAbdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, and Jasur Sevinov. “STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS.” Кимёвий технология. Назорат ва бошқарув, 2026(2), 75-82, 2026. https://doi.org/10.59048/2181-1105.1784
ChicagoAbdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, and Jasur Sevinov. “STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS.” Кимёвий технология. Назорат ва бошқарув, 2026(2), 75-82 (2026). https://doi.org/10.59048/2181-1105.1784
HarvardAbdukaxxarov Inomjon Ilxom ugli, O. O. Zaripov, and Jasur Sevinov (2026) ‘STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS’, Кимёвий технология. Назорат ва бошқарув, 2026(2), 75-82. https://doi.org/10.59048/2181-1105.1784
BibTeX
@article{abdukaxxarovinomjonilxomugli2026,
  title = {STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS},
  author = {Abdukaxxarov Inomjon Ilxom ugli and O. O. Zaripov and Jasur Sevinov},
  journal = {Кимёвий технология. Назорат ва бошқарув},
  year = {2026},
  volume = {2026},
  number = {2},
  pages = {75-82},
  doi = {10.59048/2181-1105.1784},
  url = {https://doi.org/10.59048/2181-1105.1784}
}

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