Modifications of Optimization Algorithms Applied in Multivariable Predictive Control

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17450%2F18%3AA1901XTP" target="_blank" >RIV/61988987:17450/18:A1901XTP - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/70883521:28140/18:63520139

Výsledek na webu

<a href="http://wseas.org/wseas/cms.action?id=18776" target="_blank" >http://wseas.org/wseas/cms.action?id=18776</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modifications of Optimization Algorithms Applied in Multivariable Predictive Control

Popis výsledku v původním jazyce

Non-linear optimization, particularly quadratic programming (QP), is a mathematical method which is widely applicable in model predictive control (MPC). It is significantly important if constraints of variables are considered in MPC and the optimization task is then computationally demanding. The result of the optimization is a vector of future increments of a manipulated variable. The first element of this vector is applied in the next sampling period of MPC in the framework of a receding horizon strategy. In practical realization of a multivariable MPC, the optimization is characterized by higher computational complexity. Therefore, reduction of the computational complexity of the optimization methods has been widely researched. Besides the generally used numerical Hildreth?s method of QP, a possible suitable modification is based on precomputing operations proposed by Wang, L. This general optimization strategy is further modified. Two modifications, which could be applied separately each, were interconnected in this paper. The first modification was published previously; however, its application can be more efficient in connection with the second proposed approach, which modifies precomputing operations. Decreasing of the computational complexity of the optimization by using of the proposal is discussed and analyzed by measurements of floating point operations and control quality criterions using hypotheses tests - paired T-test and Wilcoxon test.

Název v anglickém jazyce

Modifications of Optimization Algorithms Applied in Multivariable Predictive Control

Popis výsledku anglicky

Non-linear optimization, particularly quadratic programming (QP), is a mathematical method which is widely applicable in model predictive control (MPC). It is significantly important if constraints of variables are considered in MPC and the optimization task is then computationally demanding. The result of the optimization is a vector of future increments of a manipulated variable. The first element of this vector is applied in the next sampling period of MPC in the framework of a receding horizon strategy. In practical realization of a multivariable MPC, the optimization is characterized by higher computational complexity. Therefore, reduction of the computational complexity of the optimization methods has been widely researched. Besides the generally used numerical Hildreth?s method of QP, a possible suitable modification is based on precomputing operations proposed by Wang, L. This general optimization strategy is further modified. Two modifications, which could be applied separately each, were interconnected in this paper. The first modification was published previously; however, its application can be more efficient in connection with the second proposed approach, which modifies precomputing operations. Decreasing of the computational complexity of the optimization by using of the proposal is discussed and analyzed by measurements of floating point operations and control quality criterions using hypotheses tests - paired T-test and Wilcoxon test.

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

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

WSEAS Transactions on Systems and Control

ISSN

1991-8763

e-ISSN

2224-2856

Svazek periodika

13

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

GR - Řecká republika

Počet stran výsledku

9

Strana od-do

497-505

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-85061282662