# DEVELOPMENT OF DISCRETE OPTIMAL QUADRATIC CONTROL OF THE GUIDANCE OF THE OPTICAL-MECHANICAL COMPLEXES

considered in order to suppress the elastic properties in the mechanical part and compensate for the negative influence of external disturbing influences. A method is described for constructing a discrete vector-matrix model of an electric drive of optical-mechanical complexes, presented in the form of a two-mass system with elastic bonds. A mathematical approach is presented to the synthesis of a discrete optimal quadratic control system with feedback of the state variables of an object based on the solution of the Riccati algebraic equation. When designing an optimal control system, an observer based on the Kalman filter is used to restore the non-measurable coordinates of the state variable vector. The simulation results were performed in the MATLAB/Simulink environment to evaluate the operability of a linear-quadratic controller using given eigenvalues of a closed system for various values of control weighting matrices.

**Authors:** M. P. Belov, N. V. Lanh

**Direction:** Electrical Engineering

**Keywords:** Optical-mechanical complex, discrete optimal quadratic control, two-mass system, observer, Kalman filter

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