{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:54Z","timestamp":1754157414647,"version":"3.41.2"},"reference-count":22,"publisher":"Emerald","issue":"5","license":[{"start":{"date-parts":[[2008,6,17]],"date-time":"2008-06-17T00:00:00Z","timestamp":1213660800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,6,17]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to provide the high\u2010precision robust control method for plants given by a high order of differential equations. This method is useful for linear and non\u2010linear plants. Considering the problem of minimization of energy consumed in the world is very important and very actual.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>For theoretical solving of the problem, the functional analysis and methods of the Banach spaces <jats:italic>H<\/jats:italic><jats:sub>2<\/jats:sub> and <jats:italic>H<\/jats:italic><jats:sub>\u221e<\/jats:sub> are used. Next the conditions for controllability with <jats:italic>\u03b5<\/jats:italic>\u2010accuracy are given. For the non\u2010linear plants additionally two methods are used \u2013 method based on van der Schaft inequality and harmonically linearization.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>Provides state feedback control systems with sufficiently large gain (called Tytus feedback). Such systems can perform a high\u2010degree accuracy (called there <jats:italic>\u03b5<\/jats:italic>\u2010accuracy).<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The considerations have many practical applications. For example, solving the problem of a high\u2010precision robust control for a ship track\u2010keeping and designing of a robust controller for a non\u2010linear two\u2010benchmark problem.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>This is an original theoretical method of obtaining a high\u2010precision performance for feedback control systems. System presented in the paper enables controlling with <jats:italic>\u03b5<\/jats:italic>\u2010accuracy the stable or unstable plants <jats:italic>P<\/jats:italic> described by high\u2010degree differential equations. Paper regards a robust control of stable as well as unstable plants with uncertainty.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920810873254","type":"journal-article","created":{"date-parts":[[2008,6,14]],"date-time":"2008-06-14T07:02:31Z","timestamp":1213426951000},"page":"608-622","source":"Crossref","is-referenced-by-count":0,"title":["High\u2010precision state feedback control systems for linear and non\u2010linear plants"],"prefix":"10.1108","volume":"37","author":[{"given":"Adam","family":"\u0141ozowicki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Teresa","family":"\u0141ozowicka Stupnicka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dorota","family":"\u0141ozowicka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022031520302233100_b1","doi-asserted-by":"crossref","unstructured":"Antoulas, A.C. (2005), \u201cApproximation of large\u2010scale dynamical systems\u201d, Advances in Design and Control DC\u201006, SIAM, Philadelphia, PA.","DOI":"10.1137\/1.9780898718713"},{"key":"key2022031520302233100_b2","doi-asserted-by":"crossref","unstructured":"Benner, P., Mehrmann, V. and Sorensen, D. (2005), \u201cDimension reduction of large\u2010scale systems\u201d, Lecture Notes in Computational Science and Engineering, Vol. 45, Springer\u2010Verlag, Berlin.","DOI":"10.1007\/3-540-27909-1"},{"key":"key2022031520302233100_b3","doi-asserted-by":"crossref","unstructured":"Bubnicki, Z. (2003), \u201cApplication of uncertain variables in a class of control systems with uncertain and random parameters\u201d, European Control Conference, Cambridge.","DOI":"10.23919\/ECC.2003.7086505"},{"key":"key2022031520302233100_b6","doi-asserted-by":"crossref","unstructured":"Graves, L.M. (1927), \u201cImplicit functions and differential equations in general analysis\u201d, Trans. Amer. Math. 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