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IssuesArchive of Issues2021-7pp.1199-1212

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A.S. Antipov and S.A. Krasnova, "Block-Based Synthesis of a Tracking System for a Twin-Rotor Electromechanical System with Constraints on State Variables," Mech. Solids. 56 (7), 1199-1212 (2021)
Year 2021 Volume 56 Number 7 Pages 1199-1212
DOI 10.3103/S0025654421070025
Title Block-Based Synthesis of a Tracking System for a Twin-Rotor Electromechanical System with Constraints on State Variables
Author(s) A.S. Antipov (Trapeznikov Institute of Control Science, Russian Academy of Sciences, Moscow, 117997 Russia, scholess18@mail.ru)
S.A. Krasnova (Trapeznikov Institute of Control Science, Russian Academy of Sciences, Moscow, 117997 Russia, skrasnova@list.ru)
Abstract A twin-rotor electromechanical system whose output variables make angular motions in the vertical and horizontal planes is explored as a control plant. The mathematical model of the mechanical subsystem, which is essentially nonlinear, includes cross-coupling between propellers, dry-friction torques, and unspecified parameters; it is also subject to uncontrolled external perturbations. A mathematical model of the electric subsystem (considered dynamics of dc-drives) is approximated by linear differential equations. Directly measured are output variables, drive armature currents, and control inputs. The block-based approach was used to develop a decomposition procedure for the synthesis of a dynamic feedback that enables output variables to track specified signals with a given accuracy. To suppress unmatched perturbations, everywhere bounded nonlinear S-shaped local couplings are formed that are ensured by discontinuous controls with constant amplitudes; this enables the design constraints on state and control variables to be taken into account at the stage of synthesis. Measurements of angular positions have been used to develop a procedure for the adjustment of a reduced dynamic observer of angular velocities with S-shaped corrective actions, which does not require the model of the plant to be defined or a dynamic model of external perturbations to be introduced. The effectiveness of the approach developed has been confirmed by simulations in the MATLAB-Simulink environment.
Keywords electromechanical system, tracking, invariance, constraints on state variables, sigma-func- tion, state observer
Received 05 June 2020Revised 21 September 2020Accepted 23 October 2020
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