Linear Systems

Output feedback design in discrete-time control systems as an optimization problem

M. V. Khlebnikov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: This paper proposes a novel approach to rejecting nonrandom bounded exogenous disturbances in linear discrete-time control systems by means of dynamic output feedback. The approach is based on reducing the original problem to a matrix optimization problem with the gain and observer matrices as the variables. A gradient descent method for finding dynamic output feedback is derived and justified.

Keywords: linear systems, discrete time, exogenous disturbances, output feedback, observer, optimization, Lyapunov equation, gradient descent method, Newton's method.

Presented by the member of Editorial Board: A. A. Bobtsov

Received: 10.06.2024
Revised: 26.09.2024
Accepted: 22.10.2024

DOI: 10.31857/S0005231024120012

 English version: Automation and Remote Control, 2024, 85:12, 1009–1023