Document

On the Design of Robust Four Degree of Freedom Controllers for Linear Discrete-Time Systems

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Title of Periodical
IEEE Xplore
Issue published
VOLUME 11, 2023
Publisher
Institute of Electrical and Electronics Engineers
Periodical Number
2169-3536
Date Issued
2023
Language
English
English Abstract
Abstract: The aim of this paper is to consider an alternative robust design method of integrated controls and diagnostics by making use of the so-called four degree-of-freedom (4-DOF) controller. This controller has 2-inputs and 2-outputs whereby the additional controller output is viewed as a diagnostic output which detects sensor and actuator failures. The 4-DOF controller is a simple case of the standard regulator framework; therefore, the design of integrated controls and diagnostics can thus be done in the framework of H2 and H∞ whereby the latter gives the advantage of synthesizing the 4-DOF controller in a single step approach. Unlike previous methods, explicit state-space formulae are derived (in discrete-time) for a 4-DOF controller. For the H∞ case it stabilizes an augmented plant with respect to unstructured additive coprime factor perturbations whilst simultaneously providing robust control and diagnostic performance when uncertain plants are used. Moreover, the 4-DOFH∞ controller derived (albeit, of adequate complexity that can be further reduced using model/controller reduction techniques) is applied to a distillation system example to illustrate the effectiveness of the proposed unified framework.
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Identifier
https://digitalrepository.uob.edu.bh/id/85894b91-d49a-46a2-8cfc-08fb33c2016d