Non-regular feedback linearization of nonlinear systems via a normal form algorithm
2004 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 40, no 3, 439-447 p.Article in journal (Refereed) Published
In this paper, the problem of non-regular static state feedback linearization of affine nonlinear systems is considered. First of all, a new canonical form for non-regular feedback linear systems is proposed. Using this form, a recursive algorithm is presented, which yields a condition for single input linearization. Then the left semi-tensor product of matrices is introduced and several new properties are developed. Using the recursive framework and new matrix product, a formula is presented for normal form algorithm. Based on it, a set of conditions for single-input (approximate) linearizability is presented.
Place, publisher, year, edition, pages
2004. Vol. 40, no 3, 439-447 p.
linearization, singular state feedback, normal form, semi-tensor, product of matrices
IdentifiersURN: urn:nbn:se:kth:diva-23167DOI: 10.1016/j.automatica.2003.10.014ISI: 000188924200010ScopusID: 2-s2.0-1642525819OAI: oai:DiVA.org:kth-23167DiVA: diva2:341865
QC 201005252010-08-102010-08-102016-05-30Bibliographically approved