Polynomial Wiener LQG Controllers Based on Toeplitz Matrices

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aut.relation.conference2nd International Symposium on Automation, Information and Computing (ISAIC 2021) 03/12/2021 - 06/12/2021 Onlineen_NZ
aut.relation.volume2224en_NZ
aut.researcherMoir, Tom
dc.contributor.authorMoir, Ten_NZ
dc.date.accessioned2022-04-28T02:59:25Z
dc.date.available2022-04-28T02:59:25Z
dc.date.copyright2022-04-21en_NZ
dc.date.issued2022-04-21en_NZ
dc.description.abstractThis paper re-examines the discrete-time Linear Quadratic Gaussian (LQG) regulator problem. The normal approach to this problem is to use a Kalman filter state estimator and Kalman control state feedback. Though quite successful, an alternative approach in the frequency domain was employed later. That method used z-transfer functions or polynomials in the z-domain. The transfer function approach is similar to the method used in Wiener filtering and requires the use of Diophantine equations (sometimes bilateral) to find the optimal controller. The contribution here uses a similar approach but uses lower triangular Toeplitz matrices instead of polynomials to gain advantage of eliminating the use of Diophantine equations. This is because the single Diophantine equation approach fails when the system has non-relative prime polynomials and the need for bilateral Diophantine equations is computationally far more complex.
dc.identifier.citationJournal of Physics: Conference Series. 2224 012114, doi: 10.1088/1742-6596/2224/1/012114
dc.identifier.doi10.1088/1742-6596/2224/1/012114en_NZ
dc.identifier.issn1742-6588en_NZ
dc.identifier.urihttps://hdl.handle.net/10292/15091
dc.publisherInstitute of Physics (IoP)en_NZ
dc.relation.urihttps://iopscience.iop.org/article/10.1088/1742-6596/2224/1/012114en_NZ
dc.rightsContent from this work may be used under the terms of theCreative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
dc.rights.accessrightsOpenAccessen_NZ
dc.titlePolynomial Wiener LQG Controllers Based on Toeplitz Matricesen_NZ
dc.typeConference Contribution
pubs.elements-id453606
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Faculty of Design & Creative Technologies
pubs.organisational-data/AUT/PBRF
pubs.organisational-data/AUT/PBRF/PBRF Design and Creative Technologies
pubs.organisational-data/AUT/PBRF/PBRF Design and Creative Technologies/PBRF ECMS
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