M. M. Tchaikovsky, V. N. Timin, A. P. Kurdyukov, “Synthesis of anisotropic suboptimal PID controller for linear discrete time-invariant system with scalar control input and measured output”, Avtomat. i Telemekh., 2019, Issue 9,Pages <nobr>156

This article is cited in 3 papers

Synthesis of anisotropic suboptimal PID controller for linear discrete time-invariant system with scalar control input and measured output

M. M. Tchaikovsky^ab, V. N. Timin^b, A. P. Kurdyukov^b

^a Academician Pilyugin Center, Moscow, Russia
^b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: This paper considers the problem of synthesis of a proportional-integral-derivative control law (PID controller) for a linear discrete time-invariant system with scalar control input and measured output operating under influence of the stochastic disturbances with uncertainty described in terms of the mean anisotropy. The closed-loop system abilities to attenuate the disturbances are quantitatively characterized by the anisotropic norm. Sufficient existence conditions for the anisotropic suboptimal controller that stabilizes the closed-loop system and guarantees that its anisotropic norm is strictly bounded by a given threshold value are derived.

Keywords: PID controller, mean anisotropy, norm, suboptimal control, convex optimization.

Received: 28.06.2018
Revised: 09.09.2018
Accepted: 08.11.2018

DOI: 10.1134/S0005231019090113