The ADAR Method and Theory of Optimal Control in the Problems of Synthesis of Nonlinear Control Systems

Kolesnikov, A. A.; Kuz'menko, Andrey A.

doi:10.17587/mau.17.657-669

Cited by 13 publications

(23 citation statements)

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“…If in Eqs. (3)(4)(5) there are no deformations, and all velocities are constant, then 𝚻 = {𝑆 Р ( ) , 𝑡 Р ( ) , 𝑉 Р ( ) }. This paper uses studies [32] to determine the deformations in Eq.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…One of the provisions of synergetic analysis and synthesis uses the principle of expansioncontraction of the dimensionality of the state space [3]- [5]. In this case, the introduced system of equations reveals the link of the forces 𝐅 with deformation displacements Eq.…”

Section: Journal Of Vibroengineeringmentioning

confidence: 99%

“…Recently, a system-synergetic paradigm of analysis and synthesis has been formed [1]- [2]. The synergetic approach is used in the management of complex nonlinear interconnected technical systems [3]- [5], including machining processes for metal-cutting machines [6]- [9], as well as in the study of the dynamics of systems interacting with different environments [10]. The knowledge based on various ideas concerning the influence of process parameters on the machining process [11]- [14] are used for determining the CNC-programs and for setting the trajectories of the executive elements (TEE).…”

Section: Introductionmentioning

confidence: 99%

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Process control synergetics for metal-cutting machines

Gvindjiliya¹,

Zakovorotny²

2022

J. vibroeng.

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Nowadays, the design trajectories of the executive elements CNC-machines are successfully controlled by computer simula-tion. But the quality and efficiency of the cutting process cannot be achieved by ensuring the accuracy of movement trajecto-ries of the executive elements. Experimental experience of the rational process modes, tools, cooling and lubricating liquids and etc. was laid in the basis for designing the CNC-program to ensure the equivalent quality of processing. This experience reflects some averaging over a variety of machines, tools and processing conditions. In this case, the changes in the cutting system properties along the motion paths are not taken into account. These changes can be set a priori as changes occurred as a result of the energy released in the cutting zone and then supplied to the machine systems. The article deals with the syn-ergetic alignment of the external (CNC-program) and internal control (dynamic of the cutting process). This paper presents a new approach to the mathematical simulation of a controlled dynamic cutting system, which properties change due to the a priori established laws of parameter changes of interacting subsystems, as well as due to the result of cutting forces acting in the interface of the tool and machining zone. It is revealed that the CNC program with the changing process properties match-es regularly that makes it possible to increase the economic efficiency of processing while ensuring the required quality of the batch production of parts.

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Section: Mathematical Modelingmentioning

confidence: 99%

Section: Journal Of Vibroengineeringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Process control synergetics for metal-cutting machines

Gvindjiliya¹,

Zakovorotny²

2022

J. vibroeng.

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“…The performance of the thermal control system of the chemical reactor using the synthesized nonlinear laws, Equations ( 5), (9), and ( 14) was examined by computer simulation methods. The properties of perturbation invariance, covariance with temperature set points, and asymptotic stability of the closed system were studied.…”

Section: Computer Simulation Of the Control Systemmentioning

confidence: 99%

“…In our opinion, the Analytical Design of Aggregated Regulators (ADAR) method, developed as part of synergetic control theory [8][9][10][11][12][13][14][15][16][17][18], which provides asymptotic stability of the automatic control system as a whole in a wide range of changes in state variables and the input variables appear promising in this regard.…”

Section: Introductionmentioning

confidence: 99%

Analytical Synthesis of Non-Linear Control Algorithms of a Chemical Reactor Thermal Mode

et al. 2021

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The paper deals with two approaches to the synthesis of a non-linear control system of the thermal regime of a liquid-phase chemical reactor at the realization of a bimolecular exothermic reaction. Synthesis of control algorithms is carried out by the method of analytical design of aggregated regulators (ADAR). The first variant assumes synthesis of temperature controller by classic ADAR method on the basis of a sequential set of invariant manifolds. The second one is based on the cascade control system structure. Computer simulation is used to study and compare the synthesized control systems.

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Analytical Synthesis of Aggregated Regulators for Unmanned Aerial Vehicles

Podvalny

Vasiljev

2019

J Math Sci

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The ADAR Method and Theory of Optimal Control in the Problems of Synthesis of Nonlinear Control Systems

Cited by 13 publications

References 0 publications

Process control synergetics for metal-cutting machines

Process control synergetics for metal-cutting machines

Analytical Synthesis of Non-Linear Control Algorithms of a Chemical Reactor Thermal Mode

Analytical Synthesis of Aggregated Regulators for Unmanned Aerial Vehicles

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