Publication
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems
| dc.contributor.author | Chaudhary, Naveed Ishtiaq | |
| dc.contributor.author | Raja, Muhammad Asif Zahoor | |
| dc.contributor.author | He, Yigang | |
| dc.contributor.author | Khan, Zeshan Aslam | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2021-09-28T14:31:55Z | |
| dc.date.embargo | 2031-12 | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The development of procedures based on fractional calculus is an emerging research area. This paper presents a new perspective regarding the fractional least mean square (FLMS) adaptive algorithm, called multi innovation FLMS (MIFLMS). We verify that the iterative parameter adaptation mechanism of the FLMS uses merely the current error value (scalar innovation). The MIFLMS expands the scalar innovation into a vector innovation (error vector) by considering data over a fixed window at each iteration. Therefore, the MIFLMS yields better convergence speed than the standard FLMS by increasing the length of innovation vector. The superior performance of the MIFLMS is verified through parameter identification problem of input nonlinear systems. The statistical performance indices based on multiple independent trials confirm the consistent accuracy and reliability of the proposed scheme. | pt_PT |
| dc.description.sponsorship | The authors are thankful to Dr. Ivan Markovsky for allowing us to use the results of the real experimentations conducted at the Southampton University [44–45]. This work was supported by the National Natural Science Foundation of China under Grant No. 51977153, 51977161, 51577046, the State Key Program of National Natural Science Foundation of China under Grant No. 51637004, National Key Research and Development Plan ”important scientific instruments and equipment development” Grant No. 2016YFF010220 and Equipment research project in advance Grant No 41402040301. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.apm.2020.12.035 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/18604 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0307904X20307423 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Fractional adaptive algorithms | pt_PT |
| dc.subject | Parameter estimation | pt_PT |
| dc.subject | Input nonlinear systems | pt_PT |
| dc.subject | Multi innovation theory | pt_PT |
| dc.title | Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 425 | pt_PT |
| oaire.citation.startPage | 412 | pt_PT |
| oaire.citation.title | Applied Mathematical Modelling | pt_PT |
| oaire.citation.volume | 93 | pt_PT |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | embargoedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |
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