Title :
New input-output pairing based on eigenvalue contribution measures
Author :
Ahmadi, Amin ; Aldeen, M.
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Parkville, VIC, Australia
Abstract :
In this paper, a new approach based on the concept of combined controllability and observability is proposed to quantify the interaction among the inputs and outputs of both stable and unstable linear multivariable systems. The proposed approach computes the contribution of the system eigenvalues in the outputs and formulates a Relative Contribution Array (RCA) to quantify the input-output interactions and select the most appropriate set of input-output pairs. The proposed approach has many advantages over existing well known approaches, which are illustrated through a widely reported numerical example of a chemical process where conventional RGA is shown to lead to improper pairings while the proposed approach leads to far more accurate assessment of interaction.
Keywords :
controllability; eigenvalues and eigenfunctions; linear systems; multivariable control systems; observability; stability; RCA; RGA; chemical process; controllability; eigenvalue contribution measures; input-output interactions; input-output pairing; observability; relative contribution array; relative gain array; stable linear multivariable systems; unstable linear multivariable systems; Arrays; Controllability; Decentralized control; Eigenvalues and eigenfunctions; MIMO; Nickel; Observability; Contribution Measure; Decentralized Control; Input-Output Pairing; Multivariable System;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606214