Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F22%3A63556338" target="_blank" >RIV/70883521:28140/22:63556338 - isvavai.cz</a>
Result on the web
<a href="https://reader.elsevier.com/reader/sd/pii/S0019057822001999?token=8F8964850062CA753B7BC290A8E7DE2DF535C82F068807D421A40A4208C06B42E04B86B4B5FA8E39E3B4F21CBBAE1431&originRegion=eu-west-1&originCreation=20230212094206" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0019057822001999?token=8F8964850062CA753B7BC290A8E7DE2DF535C82F068807D421A40A4208C06B42E04B86B4B5FA8E39E3B4F21CBBAE1431&originRegion=eu-west-1&originCreation=20230212094206</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.isatra.2022.04.037" target="_blank" >10.1016/j.isatra.2022.04.037</a>

Result language
angličtina
Original language name
Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty
Original language description
This article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional–Integral–Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P–I–D parameters marginally complying with given robust stability or robust relative stability condition formulated by means of the H∞ norm. Thus, this approach enables obtaining the region of robustly stabilizing or robustly relatively stabilizing controllers in a P–I–D space. The applicability of the technique is demonstrated in the illustrative examples, in which the regions of robustly stabilizing and robustly relatively stabilizing PID controllers are obtained for a controlled plant model with unstructured multiplicative uncertainty and unstructured additive uncertainty. Moreover, the method is also verified on the real laboratory model of a hot-air tunnel, for which two representative controllers from the robust relative stability region are selected and implemented.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20205 - Automation and control systems

Project
<a href="/en/project/GF21-45465L" target="_blank" >GF21-45465L: Metaheuristic-based parametric optimization of time-delay models and control systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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