The parametric optimization of a system with two delays and a PI controller

In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the ti...

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Bibliographic Details
Published in:Archives of control sciences 2019-01, Vol.29 (4), p.667
Main Author: Duda, Jozef
Format: Article
Language:English
Subjects:
Controllers
Optimization
Ordinary differential equations
Performance indices
Time delay systems
Online Access:Get full text
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Summary:In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. In the paper is presented the example of a scalar system with two delays and a PI controller.
ISSN:1230-2384
2300-2611
DOI:10.24425/acs.2019.131231