Methodology for the decomposition of dynamical systems based on input-output pairing techniques

Lenis, Lizeth; Giraldo, Mauricio; Espinosa, Jairo

doi:10.1109/ccac.2017.8276410

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…To analyze the interactions of the control loops of multivariable systems in permanent and transitory regimes, the relative normalized gain array (RNGA) was proposed [15]. Other works that propose methodologies to face the complex problem of finding optimal input-output pairings for the control of MIMO systems are shown in [16]- [19].…”

Section: Introductionmentioning

confidence: 99%

A Loop Pairing Method for Multivariable Control Systems Under a Multi-Objective Optimization Approach

et al. 2019

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This paper proposes a new method for the selection of input-output pairing in decentralized control structures for multivariable systems. This method proposes the input-output pairing problem as a multi-objective optimization problem (MOP). For each control structure and loop pairing analyzed, a different design concept is proposed and a MOP is stated. All MOPs share the same design objectives, and Pareto fronts associated with each design concept can be compared globally under a multi-objective (MO) approach. The design objectives were chosen for the MOP, as well as the designer's preferences, have an important role in selecting a certain loop pairing. The main contribution of the proposed approach is that it enables a systematic analysis of the conflicts between the objectives and the performance of a control system. The method enables selecting a certain input-output pairing and a suitable tuning of the controller directly using information that a designer can interpret. To show the application of the methodology, two loop pairing examples are presented, one of them for a two-input-output system (with four scenarios of analysis), and the other for a three-input-output system (with one scenario of analysis). Through the examples presented in this paper, it is evident how the designer can affect the loop pairing to be used, either by choosing the objectives or preferences.INDEX TERMS Multivariable control system, input-output pairing, decentralized control structures, multiobjective evolutionary optimization, Pareto front.

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Section: Introductionmentioning

confidence: 99%

A Loop Pairing Method for Multivariable Control Systems Under a Multi-Objective Optimization Approach

et al. 2019

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A Loop Pairing Method for Non-Linear Multivariable Control Systems Under a Multi-Objective Optimization Approach

et al. 2020

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In the multivariable control literature there are few techniques that face the problem of selecting suitable loop pairings in non-linear multivariable systems. Most techniques analyze the linearized system at a specific operating point. This paper proposes a new methodology to optimally and simultaneously select the loop pairings and the tuning of the parameters of the decentralized control by applying a multi-objective optimization approach directly on the non-linear system. The main contribution of this work is that the proposed methodology enables a detailed multi-dimensional analysis of the performances and trade-offs in the available loop pairings to control a multivariable non-linear system. The methodology is applied in this paper to three examples that analyze how the different types of loop pairings conflict. In one of the examples, the proposed methodology was applied first in the linearized system and later in the non-linear system. The results were contradictory and show how the application of loop pairing techniques for linear systems can be inaccurate when they are applied on a non-linear system previously linearized at an operating point. The following examples show that the operating point of a non-linear system, the design objectives of each multiobjective problem, as well as the designer's preferences have important roles in the selection of an optimal loop pairing. INDEX TERMS Multivariable control system, non-linear systems, loop pairing, decentralized control structures, multi-objective evolutionary optimization, Pareto front.

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Application of an input-output pairings selection methodology to control multivariable systems based on multi-objective optimization

Huilcapi

Blasco

Herrero

et al. 2021

2021 International Conference on Computational Science and Computational Intelligence (CSCI)

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Methodology for the decomposition of dynamical systems based on input-output pairing techniques

Cited by 3 publications

References 17 publications

A Loop Pairing Method for Multivariable Control Systems Under a Multi-Objective Optimization Approach

A Loop Pairing Method for Multivariable Control Systems Under a Multi-Objective Optimization Approach

A Loop Pairing Method for Non-Linear Multivariable Control Systems Under a Multi-Objective Optimization Approach

Application of an input-output pairings selection methodology to control multivariable systems based on multi-objective optimization

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