Document
On the Design of Robust Four Degree of Freedom Controllers for Linear Discrete-Time Systems
Linked Agent
Mattar, Ebrahim, Author
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.
Member of
Identifier
https://digitalrepository.uob.edu.bh/id/85894b91-d49a-46a2-8cfc-08fb33c2016d