On the Relation Between the Smith Predictor and Algebraic Control Approach for Time Delay Systems: A Case Study

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F24%3A63580378" target="_blank" >RIV/70883521:28140/24:63580378 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007/978-3-031-61575-7_9" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-61575-7_9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-61575-7_9" target="_blank" >10.1007/978-3-031-61575-7_9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Relation Between the Smith Predictor and Algebraic Control Approach for Time Delay Systems: A Case Study

Popis výsledku v původním jazyce

The Smith predictor is a well-established model-based strategy for eliminating or attenuating a dead-time effect on the control feedback loop. A controlled system model and a dead-time estimation represent crucial parts of the predictor structure that, however, are usually inaccurate. The design problem becomes more challenging when internal (state) delays also appear. An algebraic approach in a specific ring of quasi-polynomial meromorphic functions was proposed recently to design controllers for linear systems with internal delays. This contribution intends to compare these two design principles and find an equivalence between them from the viewpoint of closed-loop transfer functions. The sufficient stability condition for the Smith predictor structure is formulated, and necessary and sufficient conditions for constant-wise reference tracking and load disturbance attenuation are generally derived. A specific case of controlling a heating-cooling process for more complex (linear-wise) external signals is studied, and simple numerical robustness tests are performed. A concluding research outlook based on the obtained results is proposed as well.

Název v anglickém jazyce

On the Relation Between the Smith Predictor and Algebraic Control Approach for Time Delay Systems: A Case Study

Popis výsledku anglicky

The Smith predictor is a well-established model-based strategy for eliminating or attenuating a dead-time effect on the control feedback loop. A controlled system model and a dead-time estimation represent crucial parts of the predictor structure that, however, are usually inaccurate. The design problem becomes more challenging when internal (state) delays also appear. An algebraic approach in a specific ring of quasi-polynomial meromorphic functions was proposed recently to design controllers for linear systems with internal delays. This contribution intends to compare these two design principles and find an equivalence between them from the viewpoint of closed-loop transfer functions. The sufficient stability condition for the Smith predictor structure is formulated, and necessary and sufficient conditions for constant-wise reference tracking and load disturbance attenuation are generally derived. A specific case of controlling a heating-cooling process for more complex (linear-wise) external signals is studied, and simple numerical robustness tests are performed. A concluding research outlook based on the obtained results is proposed as well.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Lecture Notes in Mechanical Engineering

ISBN

978-3-031-61574-0

ISSN

2195-4356

e-ISSN

2195-4364

Počet stran výsledku

11

Strana od-do

90-100

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Povoação

Datum konání akce

26. 6. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—