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Study of Stability Criteria of Automatic Control Systems By Multiparametric Aviation Objects Cover

Study of Stability Criteria of Automatic Control Systems By Multiparametric Aviation Objects

Transactions on Aerospace Research
Volume 2024 (2024): Issue 1 (March 2024)
By: Volodymyr Zinovkin,  Iurii Krysan,  Andrii Pyrozhok and  Taras Yanko  
Open Access
|Mar 2024

Figures & Tables

Fig. 1.

The structural diagram of the flying object’s control system with multiple parameters of a different physical nature. The following designations are accepted in Fig. 1: TT – technical requirements; TK – request for proposal; P – electromechanical actuating mechanisms; N – hydraulic and pneumatic actuating mechanisms; S – thermal and traction mechanisms; Z – mechanisms of attitude control; K – mechanisms of the current thermal state; BCTI – block of current technical information (in respect to the actuators condition); CICU – current information converting unit; SOCD – software-optimisation and control device; CS – corrected signal; DT – directive task of actuators nominal parameters; FO – flying object; VCI – visualisation of current information; BSI – block for saving all information; BREM – unit of recording changing parameters of the corresponding actuators.
The structural diagram of the flying object’s control system with multiple parameters of a different physical nature. The following designations are accepted in Fig. 1: TT – technical requirements; TK – request for proposal; P – electromechanical actuating mechanisms; N – hydraulic and pneumatic actuating mechanisms; S – thermal and traction mechanisms; Z – mechanisms of attitude control; K – mechanisms of the current thermal state; BCTI – block of current technical information (in respect to the actuators condition); CICU – current information converting unit; SOCD – software-optimisation and control device; CS – corrected signal; DT – directive task of actuators nominal parameters; FO – flying object; VCI – visualisation of current information; BSI – block for saving all information; BREM – unit of recording changing parameters of the corresponding actuators.

Fig. 2.

Physical model of the flying object in one of its positions in space. The following designations are accepted in the Fig. 2: 1 – remote control; 2 – microprocessor module; 3 – power block; 4 – booms; 5 – airplane flaps; 6 – airplane propeller; 7 – rudder; and 8 – elevators.
Physical model of the flying object in one of its positions in space. The following designations are accepted in the Fig. 2: 1 – remote control; 2 – microprocessor module; 3 – power block; 4 – booms; 5 – airplane flaps; 6 – airplane propeller; 7 – rudder; and 8 – elevators.

Fig. 3.

Structural diagram of solving high-order systems with a limited input coordinate of the problem, which provides optimal stability of the control system of flying objects with multiple parameters of a different physical nature. The following designations are accepted in Fig. 3: 1 – directive task; 2 – the first level of the differentiator; 3 – the second level of the differentiator; 4 – nonlinear converter that produces a proportional signal φ(y, z); 5 – the resulting optimal signal; and 6 – actuating mechanism.
Structural diagram of solving high-order systems with a limited input coordinate of the problem, which provides optimal stability of the control system of flying objects with multiple parameters of a different physical nature. The following designations are accepted in Fig. 3: 1 – directive task; 2 – the first level of the differentiator; 3 – the second level of the differentiator; 4 – nonlinear converter that produces a proportional signal φ(y, z); 5 – the resulting optimal signal; and 6 – actuating mechanism.

Fig. 4.

Structural diagram of modelling the stability of the control system by flying objects. The following designations are accepted in Fig. 4: 0 – library of the directive task and nominal data of actuating mechanisms; 1 – driver of the limits of accuracy and error; 2 – driver of digital information and coordination of information channels; 3 – amplifier and coordinator of microprocessor-based and software devices; 4 – correcting device or regulator; 5 – working out of executive mechanisms to a new level; 6 – monitoring of changes or deviations of actuators parameters and technical condition of the object being controlled.
Structural diagram of modelling the stability of the control system by flying objects. The following designations are accepted in Fig. 4: 0 – library of the directive task and nominal data of actuating mechanisms; 1 – driver of the limits of accuracy and error; 2 – driver of digital information and coordination of information channels; 3 – amplifier and coordinator of microprocessor-based and software devices; 4 – correcting device or regulator; 5 – working out of executive mechanisms to a new level; 6 – monitoring of changes or deviations of actuators parameters and technical condition of the object being controlled.

Fig. 5.

Structural diagram for solving a differential equation using the method of reducing the order of the derivative.
Structural diagram for solving a differential equation using the method of reducing the order of the derivative.

Fig. 6.

Simulated graph of the Mikhailov hodograph.
Simulated graph of the Mikhailov hodograph.

Fig. 7.

Nyquist hodograph.
Nyquist hodograph.

Fig. 8.

Refined graph of the system stability according to the Nyquist hodograph.
Refined graph of the system stability according to the Nyquist hodograph.
DOI: https://doi.org/10.2478/tar-2024-0004 | Journal eISSN: 2545-2835
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Language: English
Page range: 45 - 70
Submitted on: Jan 24, 2022
Accepted on: Jan 8, 2024
Published on: Mar 13, 2024
Published by: ŁUKASIEWICZ RESEARCH NETWORK – INSTITUTE OF AVIATION
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
control system,
aviation object,
optimisation,
stability,
mathematical model,
modelling
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other,
Geosciences,
Geosciences, other,
Materials sciences,
Materials sciences, other,
Physics,
Physics, other

© 2024 Volodymyr Zinovkin, Iurii Krysan, Andrii Pyrozhok, Taras Yanko, published by ŁUKASIEWICZ RESEARCH NETWORK – INSTITUTE OF AVIATION
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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