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Constructive stabilization for quadratic input nonlinear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Computer Science and Communication (CSC), Centres, Centre for Autonomous Systems, CAS. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-0177-1993
2008 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 44, no 8, 1996-2005 p.Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2008. Vol. 44, no 8, 1996-2005 p.
Keyword [en]
quadratic input nonlinear system, global stabilization, control, Lyapunov function, control-lyapunov functions, state-feedback, existence
National Category
Information Science
URN: urn:nbn:se:kth:diva-17800DOI: 10.1016/j.automatica.2008.01.005ISI: 000258963700007ScopusID: 2-s2.0-47249107419OAI: diva2:335845

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2016-05-30Bibliographically approved

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Hu, Xiaoming
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Optimization and Systems TheoryCentre for Autonomous Systems, CASACCESS Linnaeus Centre
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