Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods
| dc.contributor.author | Xiang, Chengdi | |
| dc.contributor.author | Petersen, Ian | |
| dc.contributor.author | Dong, Daoyi | |
| dc.date.accessioned | 2021-08-30T00:11:08Z | |
| dc.date.issued | 2017 | |
| dc.date.updated | 2020-11-23T10:55:52Z | |
| dc.description.abstract | This technical note extends applications of the quantum small gain and Popov methods from existing results on robust stability to performance analysis results for a class of uncertain quantum systems. This class of systems involves a nominal linear quantum system and is subject to quadratic perturbations in the system Hamiltonian. Based on these two methods, coherent guaranteed cost controllers are designed for a given quantum system to achieve improved control performance. An illustrative example also shows that the quantum Popov approach can obtain less conservative results than the quantum small gain approach for the same uncertain quantum system. | en_AU |
| dc.description.sponsorship | This work was supported by the Australian Research Council (DP130101658, FL110100020) | en_AU |
| dc.format.mimetype | application/pdf | en_AU |
| dc.identifier.issn | 0018-9286 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/245910 | |
| dc.language.iso | en_AU | en_AU |
| dc.publisher | Institute of Electrical and Electronics Engineers (IEEE Inc) | en_AU |
| dc.relation | http://purl.org/au-research/grants/arc/DP130101658 | en_AU |
| dc.relation | http://purl.org/au-research/grants/arc/FL110100020 | en_AU |
| dc.rights | © 2016 IEEE. | en_AU |
| dc.source | IEEE Transactions on Automatic Control | en_AU |
| dc.subject | Coherent control | en_AU |
| dc.subject | guaranteed cost control | en_AU |
| dc.subject | performance analysis | en_AU |
| dc.subject | Popov method | en_AU |
| dc.subject | small gain theorem | en_AU |
| dc.subject | uncertain quantum systems | en_AU |
| dc.title | Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods | en_AU |
| dc.type | Journal article | en_AU |
| dcterms.accessRights | Open Access | |
| local.bibliographicCitation.issue | 3 | en_AU |
| local.bibliographicCitation.lastpage | 1529 | en_AU |
| local.bibliographicCitation.startpage | 1524 | en_AU |
| local.contributor.affiliation | Xiang, Chengdi, University of New South Wales, Canberra | en_AU |
| local.contributor.affiliation | Petersen, Ian, College of Engineering and Computer Science, ANU | en_AU |
| local.contributor.affiliation | Dong, Daoyi, University of New South Wales | en_AU |
| local.contributor.authoruid | Petersen, Ian, u4036493 | en_AU |
| local.description.notes | Imported from ARIES | en_AU |
| local.identifier.absfor | 090602 - Control Systems, Robotics and Automation | en_AU |
| local.identifier.absseo | 970109 - Expanding Knowledge in Engineering | en_AU |
| local.identifier.ariespublication | u5357342xPUB326 | en_AU |
| local.identifier.citationvolume | 62 | en_AU |
| local.identifier.doi | 10.1109/TAC.2016.2587383 | en_AU |
| local.identifier.scopusID | 2-s2.0-85015074803 | |
| local.identifier.thomsonID | 000395924300046 | |
| local.publisher.url | https://www.ieee.org/ | en_AU |
| local.type.status | Accepted Version | en_AU |
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