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Constructive stabilization for quadratic input nonlinear systems
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori. KTH, Skolan för datavetenskap och kommunikation (CSC), Centra, Centrum för Autonoma System, CAS. KTH, Skolan för elektro- och systemteknik (EES), Centra, ACCESS Linnaeus Centre.ORCID-id: 0000-0003-0177-1993
2008 (engelsk)Inngår i: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 44, nr 8, s. 1996-2005Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this paper stabilization of nonlinear systems with quadratic multi-input is considered. With the help of control Lyapunov function (CLF), a constructive parameterization of controls that globally asymptotically stabilize the system is proposed. Two different cases are considered. Firstly, under certain regularity assumptions. the feasible control set is parameterized, and Continuous feedback stabilizing controls are designed. Then for the general case. piecewise Continuous stabilizing controls are proposed. The design procedure can also be used to verify whether a candidate CLF is indeed a CLF. Several illustrative examples are presented as well.

sted, utgiver, år, opplag, sider
2008. Vol. 44, nr 8, s. 1996-2005
Emneord [en]
quadratic input nonlinear system, global stabilization, control, Lyapunov function, control-lyapunov functions, state-feedback, existence
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-17800DOI: 10.1016/j.automatica.2008.01.005ISI: 000258963700007Scopus ID: 2-s2.0-47249107419OAI: oai:DiVA.org:kth-17800DiVA, id: diva2:335845
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QC 20100525

Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2018-01-12bibliografisk kontrollert

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