STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS

Authors

• Abdukaxxarov Inomjon Ilxom ugli Mr, Tashkent State Technical University. Address: University street 2, 100095, Tashkent city, Republic of Uzbekistan. E-mail: abdukaxxarovinomjon@gmail.com, Phone:+998 90 194 04 04.Follow
• Oripjon Olimovich Zaripov, Tashkent State Technical University. Address: University street 2, 100095, Tashkent city, Republic of Uzbekistan;
• Jasur Usmonovich Sevinov, Tashkent State Technical University. Address: University street 2, 100095, Tashkent city, Republic of Uzbekistan;

Abstract

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.

First Page

75

Last Page

82

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Recommended Citation

Ilxom ugli, Abdukaxxarov Inomjon Mr; Zaripov, Oripjon Olimovich; and Sevinov, Jasur Usmonovich (2026) "STRUCTURAL DECOMPOSITION-BASED CONTROL SYNTHESIS FOR MULTIVARIABLE SYSTEMS USING OBLIQUE PROJECTION OPERATORS," Chemical Technology, Control and Management: Vol. 2026: Iss. 2, Article 10.
DOI: https://doi.org/10.59048/2181-1105.1784