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Journal ArticleDOI

Euclidean condition and block relative gain: Connections, conjectures, and clarifications

TLDR
In this paper, certain quantitative relationships between Euclidean condition number and block relative gains are established. And an as yet unproven relation of this type is conjectured, and the control theoretic implications of the established relations are briefly discussed, clarifying the role of the block relative gain concept in control theory.
Abstract
Given an arbitrary nonsingular complex matrix, certain quantitative relationships between its Euclidean condition number and its associated block relative gains are established. In addition, an as yet unproven relation of this type is conjectured. The control theoretic implications of the established relations are briefly discussed, clarifying the role of the block relative gain concept in control theory.

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Journal ArticleDOI

A tutorial on linear and bilinear matrix inequalities

TL;DR: In this article, a tutorial on the mathematical theory and process control applications of linear matrix inequalities and bilinear matrix inequalities (BMIs) is presented, and a software for solving LMI and BMI problems is reviewed.
Journal ArticleDOI

Survey A review of methods for input/output selection

TL;DR: A set of criteria is proposed that a good IO selection method should possess, which is used to assess and compare the methods and it could be used as a guideline for new methods.
Journal ArticleDOI

Robust control of ill-conditioned plants: high-purity distillation

TL;DR: In this article, a high-purity distillation column is used to explain the physical reason for poor conditioning and its implications on control system design and performance, and it is shown that an acceptable performance/robustness tradeoff cannot be obtained by simple loop-shaping techniques (using singular values) and that a good understanding of the model uncertainty is essential for robust control systems design.
Journal ArticleDOI

Understanding the Dynamic Behavior of Distillation Columns

TL;DR: Mise en place d'un modele a deux constantes de temps en tenant compte des changements d'ecoulement internes et externes.
Journal ArticleDOI

Simple frequency-dependent tools for control system analysis, structure selection and design: thr

TL;DR: In this paper, the authors present results on frequency-dependent tools for analysis, structure selection and design of control systems, including relationships between the relative gain array (RGA) and right half plane zeros, and the use of the RGA as a sensitivity measure with respect to individual element uncertainty and diagonal input uncertainty.
References
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Journal ArticleDOI

Design of resilient processing plants—III: A general framework for the assessment of dynamic resilience

TL;DR: It is shown that dynamic resilence is determined by characteristics inherent in the system and that it is independent of the imposed controller structure and type.
Journal ArticleDOI

Synthesis of decentralized process control structures using the concept of block relative gain

TL;DR: The concept of block relative gain (BRG) is introduced to define a measure of interaction for decentralized control structures and a controller design procedure for the most promising decentralized structures is given.
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