Nonlinear Systems

Studying the dynamic properties of a distributed thermomechanical system and stability conditions for its control system

E. M. Solnechnyi

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia

Abstract: We study the dynamic properties of the response of a one-dimensional elastic mechanical system to an external thermal action. It is established that the dynamics of the plant can be described by a scheme consisting of two integration operators, a linear bounded operator, and an operator reflecting the natural vibrational properties of the plant. In addition, we establish a class of feedbacks from the system output to the thermal action that ensure the stability of the closed-loop system.

Keywords: distributed thermomechanical plant, dynamic property, operator, feedback, closed-loop system, stability.

Presented by the member of Editorial Board: A. G. Kushner

Received: 04.11.2018
Revised: 22.08.2020
Accepted: 15.01.2021

DOI: 10.31857/S0005231021080031

 English version: Automation and Remote Control, 2021, 82:8, 1338–1357

Bibliographic databases:

• 
• 
•