{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:05:55Z","timestamp":1760241955387,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T00:00:00Z","timestamp":1541030400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100010950","name":"Science and Technology Department, Henan Province","doi-asserted-by":"publisher","award":["182102210536"],"award-info":[{"award-number":["182102210536"]}],"id":[{"id":"10.13039\/501100010950","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012338","name":"Xinyang Normal University","doi-asserted-by":"publisher","award":["Nanhu Scholars Program for Young Scholars of XYNU"],"award-info":[{"award-number":["Nanhu Scholars Program for Young Scholars of XYNU"]}],"id":[{"id":"10.13039\/501100012338","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>This paper develops a bias compensation-based parameter and state estimation algorithm for the observability canonical state-space system corrupted by colored noise. The state-space system is transformed into a linear regressive model by eliminating the state variables. Based on the determination of the noise variance and noise model, a bias correction term is added into the least squares estimate, and the system parameters and states are computed interactively. The proposed algorithm can generate the unbiased parameter estimate. Two illustrative examples are given to show the effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.3390\/a11110175","type":"journal-article","created":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T11:31:47Z","timestamp":1541071907000},"page":"175","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Bias Compensation Based Parameter and State Estimation for Observability Canonical State-Space Models with Colored Noise"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6503-4066","authenticated-orcid":false,"given":"Xuehai","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingsheng","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuntao","family":"Jiang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,11,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/j.automatica.2015.01.019","article-title":"Robust adaptive parameter estimation of sinusoidal signals","volume":"53","author":"Na","year":"2015","journal-title":"Automatica"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1016\/j.automatica.2004.11.003","article-title":"Identification of time-varying pH processes using sinusoidal signals","volume":"41","author":"Kalafatis","year":"2005","journal-title":"Automatica"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1002\/acs.2524","article-title":"Robust adaptive estimation of nonlinear system with time-varying parameters","volume":"29","author":"Na","year":"2015","journal-title":"Int. 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