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

机译：多目标优化方法下非线性多变量控制系统的环路配对方法

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摘要

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 multi-objective problem, as well as the designer & x2019;s preferences have important roles in the selection of an optimal loop pairing.
机译：在多变量控制文献中，很少有很少的技术面对选择非线性多变量系统中的合适环形配对的技术。大多数技术在特定操作点分析线性化系统。本文通过在非线性系统上应用多目标优化方法来提出最佳地和同时选择回路配对和分散控制参数的调整。这项工作的主要贡献是，所提出的方法能够对可用环路配对中的性能和权衡进行详细的多维分析，以控制多变量的非线性系统。本文应用了方法，以分析不同类型的环路配对冲突的三个例子。在其中一个实施例中，在线性系统中首先应用所提出的方法，并在非线性系统中施加。结果是矛盾的，并且当它们在先前在操作点之前线性化的非线性系统上施加时，如何将环形配对技术应用线性系统的应用是如何不准确的。以下示例表明，非线性系统的操作点，每个多目标问题的设计目标，以及设计者和X2019; S的偏好在选择最佳环路配对时具有重要作用。

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