Features of the synthesis of reduced state monitoring devices for dc electric actuators with modal control
DOI:
https://doi.org/10.15588/1607-6761-2026-1-2Keywords:
DC electric drive, modal control, state observation device, reduced observer, state space, pole placement, transient, system stability, nonlinearity, synthesisAbstract
Purpose. The purpose of the study is the development and justification of a methodology for the synthesis of reduced state monitoring devices for DC electric drives with modal control, as well as the analysis of their impact on the dynamic properties, stability and quality indicators of transient processes of electromechanical systems.
Methodology. The work uses methods of automatic control theory and state space theory, in particular methods of modal synthesis and pole placement. To build a reduced observation device, analytical methods of linear algebra and matrix analysis were used. The study of the dynamic properties of the electromechanical system was performed using methods of mathematical modeling and simulation experiment in the MATLAB software environment. The quality of transient processes was assessed based on the analysis of time characteristics and stability indicators of the control system.
Findings. Mathematical models of full and reduced state observation devices in the state space are developed and an algorithm for synthesis of a reduced observer is proposed, which provides recovery of only unmeasured state variables of the electric drive. It is shown that the choice of the speed of the reduced observation device, which exceeds the speed of the control object, guarantees the convergence of estimates and the correct operation of the modal control system. Using the example of second- and fourth-order electric drives, the possibility of recovering the integral component of the PI controller and the load moment without using additional sensors is proven. The simulation results show that in low-order systems, the use of a reduced observer can lead to a slight increase in overshoot and the duration of transients, while in higher-order systems its impact on dynamic indicators is minimal.
Originality. The paper first substantiates the use of typical normalized equations of modular optimum for the synthesis of reduced observation devices in DC electric drive systems with modal control, and also establishes the dependence of the influence of a reduced observer on the dynamics of the system on its order.
Practical value. The results obtained can be used in the design of control systems for electric drives with limited sensor capabilities, allowing to reduce the structural and hardware complexity of the system, increase its reliability, and simplify practical implementation without significantly degrading control quality indicators.
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Copyright (c) 2026 O.S. Sadovoy, A.A. Stavynskyy, A.Yu. Rudenko, R.A. Stavynskyy, A.P. Gurov, O.G. Vasiliev
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