Enhancement of Dynamical Characteristics of a Fuzzy Control System by Using Unstable Subsystem

Lozynskyy, Andriy; Vantsevitch, Vladimir; Demkiv, Lyubomyr

doi:10.1109/fuzz-ieee.2018.8491670

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…Methods of fuzzy set theory play an important role in the development of nonlinear control theory [22,23]. The use of fuzzy modeling makes it possible to represent a model of a nonlinear object as a family of linear dynamic models [24]. The availability of such models significantly simplifies the procedure for the synthesis of control influences and allows the application of classical control theory methods.…”

Section: Introductionmentioning

confidence: 99%

Increasing the Level of Autonomy of Control of the Electric Arc Furnace by Weakening Interphase Interactions

Kozyra,

Lozynskyy,

Łukasik

et al. 2023

Energies

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Steelmaking is one of the most energy-intensive industries, so improving control efficiency helps to reduce the energy used to produce a tonne of steel. Mutual influences between the phases of an electric arc furnace in available electrode movement control systems cause unproductive electrode movements as a reaction to the redistribution of currents among the phases of a three-phase power supply system due to changes in arc length in one of the phases. The nonlinearity of the characteristics of an electric arc furnace significantly complicates the ability to provide autonomous electrode movement control. The approach proposed in this paper, based on the formation of a matrix of mutual influences with variable coefficients, significantly improves the per-phase autonomy of the electrode movement control system. Nonlinear dependences of the mutual influence coefficients as a function of the current increment in the phase in which the disturbance occurred are obtained. Thus, it is possible to practically eliminate unproductive electrode movements in existing control systems by avoiding the traditional use of a dead zone, which reduces the control quality in the zone of small disturbances. The complex of experiments performed using the mathematical model demonstrate that the mutual influence improves the dynamic properties of the electrode movement system in certain operating modes.

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Section: Introductionmentioning

confidence: 99%

Increasing the Level of Autonomy of Control of the Electric Arc Furnace by Weakening Interphase Interactions

Kozyra,

Lozynskyy,

Łukasik

et al. 2023

Energies

Self Cite

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Agile Tyre Mobility: Observation and Control in Severe Terrain Environments

Vantsevich

Gorsich

Lozynskyy

et al. 2020

NATO Science for Peace and Security Series B: Physics and Biophysics

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Control synthesis by full state vector in systems with fractional-order derivatives using Caputo-Fabrizio operator

Lozynskyy¹,

Lozynskyy²,

Kasha³

2020

Math. Model. Comput.

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In the paper, the control system synthesis by means of the full state vector is considered when using fractional derivatives in the description of this system. To conduct research in the synthesized system with fractional derivatives in the Caputo--Fabrizio representation, a fundamental matrix of the system is formed, which also allows us to analyze the influence of initial conditions on the processes within the system. In particular, the finding of the fundamental matrix of the system in the case of multiple roots of a characteristic polynomial, which are obtained by transforming the synthesized system to the binomial form, is demonstrated. The influence of the fractional derivative index and the location of the roots of the characteristic polynomial transformed to the binomial form on the system operation is analyzed.

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Enhancement of Dynamical Characteristics of a Fuzzy Control System by Using Unstable Subsystem

Cited by 3 publications

References 23 publications

Increasing the Level of Autonomy of Control of the Electric Arc Furnace by Weakening Interphase Interactions

Increasing the Level of Autonomy of Control of the Electric Arc Furnace by Weakening Interphase Interactions

Agile Tyre Mobility: Observation and Control in Severe Terrain Environments

Control synthesis by full state vector in systems with fractional-order derivatives using Caputo-Fabrizio operator

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