Analysis of Modified Optimization in Multivariable Predictive Control with Regards to Control Quality

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17450%2F19%3AA200207O" target="_blank" >RIV/61988987:17450/19:A200207O - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/70883521:28140/19:63523957

Výsledek na webu

<a href="http://ijomam.com/ijomam-issue-5/" target="_blank" >http://ijomam.com/ijomam-issue-5/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Analysis of Modified Optimization in Multivariable Predictive Control with Regards to Control Quality

Popis výsledku v původním jazyce

Model predictive control (MPC) has been a widely researched strategy in the modern control theory. Various modifications of MPC are focused on improving of two subsystems - the predictor and the optimizer, which cooperate mutually on the receding horizon. In constrained predictive control, the optimization is a quadratic programming problem, which has to be solved numerically. Namely, in constrained multivariable MPC, the constraints and the multi-variability of the process cause excessive increasing of the computational complexity. Reducing of computational time and decreasing of a number of numerical operations are particularly desirable. This is the reason for efforts to modify algorithms of numerical optimization. These modifications can influence control quality. This paper deals with one modification of the Hildreth optimization method and accurate analysis of its impact to quality of control. For analysis of impact to control quality, descriptive statistical methods are frequently used; particularly, methods based on analysis of floating point operations are complemented with their regression analysis for expression of complexity function O. However, the regression analysis of these results belongs only to non-inductive statistical methods depending on particular measurements of a computational complexity. For purposes of increasing responsibility of control quality indicators, set of specific statistical methods aimed on testing hypotheses is recommended in this paper. Testing hypotheses can be applied with strictly defined significance level. Practical implementation of modified MPC algorithm is statistically analyzed in comparison with unmodified MPC using proposed set of particular statistical methods.

Název v anglickém jazyce

Analysis of Modified Optimization in Multivariable Predictive Control with Regards to Control Quality

Popis výsledku anglicky

Model predictive control (MPC) has been a widely researched strategy in the modern control theory. Various modifications of MPC are focused on improving of two subsystems - the predictor and the optimizer, which cooperate mutually on the receding horizon. In constrained predictive control, the optimization is a quadratic programming problem, which has to be solved numerically. Namely, in constrained multivariable MPC, the constraints and the multi-variability of the process cause excessive increasing of the computational complexity. Reducing of computational time and decreasing of a number of numerical operations are particularly desirable. This is the reason for efforts to modify algorithms of numerical optimization. These modifications can influence control quality. This paper deals with one modification of the Hildreth optimization method and accurate analysis of its impact to quality of control. For analysis of impact to control quality, descriptive statistical methods are frequently used; particularly, methods based on analysis of floating point operations are complemented with their regression analysis for expression of complexity function O. However, the regression analysis of these results belongs only to non-inductive statistical methods depending on particular measurements of a computational complexity. For purposes of increasing responsibility of control quality indicators, set of specific statistical methods aimed on testing hypotheses is recommended in this paper. Testing hypotheses can be applied with strictly defined significance level. Practical implementation of modified MPC algorithm is statistically analyzed in comparison with unmodified MPC using proposed set of particular statistical methods.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

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OECD FORD obor

20205 - Automation and control systems

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

International Journal of Mechatronics and Applied Mechanics

ISSN

2559-6497

e-ISSN

2559-4397

Svazek periodika

2019

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

RO - Rumunsko

Počet stran výsledku

6

Strana od-do

7-12

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-85070649334