Lyapunov stability analysis of a twisting based control algorithm for systems with unmatched perturbations
Identifieur interne : 001F75 ( Main/Exploration ); précédent : 001F74; suivant : 001F76Lyapunov stability analysis of a twisting based control algorithm for systems with unmatched perturbations
Auteurs : Antonio Estrada [Mexique] ; Antonio Loria [France] ; Raul Santiesteban [France] ; Leonid Fridman [Mexique]Source :
Abstract
In this note, we present a result on stabilization of nonlinear strict-feedback systems affected by unknown perturbations when a control based on the so-called twisting algorithm, a second-order sliding mode controller, is applied. The novelty of the note relies in the stability analysis of the closed loop system. It follows along similar lines as for well-established theorems for nonlinear time-varying systems in cascade, with continuous right-hand sides. However, the class of systems that we deal with are discontinuous and perturbed. Although the presented analysis is aimed to perturbed second-order systems in strict feedback form, the purpose of this note is to settle the basis for a methodological stability analysis approach for higher-order systems. An illustrative example is provided.
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DOI: 10.1109/CDC.2011.6160583
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type="direct"></relation></listRelation><tutelles><tutelle active="#struct-306693" type="direct"><org type="institution" xml:id="struct-306693" status="INCOMING"><orgName>Facultad de Ingenieria</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>Mexique</country></affiliation></author></analytic><idno type="DOI">10.1109/CDC.2011.6160583</idno></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this note, we present a result on stabilization of nonlinear strict-feedback systems affected by unknown perturbations when a control based on the so-called twisting algorithm, a second-order sliding mode controller, is applied. The novelty of the note relies in the stability analysis of the closed loop system. It follows along similar lines as for well-established theorems for nonlinear time-varying systems in cascade, with continuous right-hand sides. However, the class of systems that we deal with are discontinuous and perturbed. Although the presented analysis is aimed to perturbed second-order systems in strict feedback form, the purpose of this note is to settle the basis for a methodological stability analysis approach for higher-order systems. An illustrative example is provided.</div></front></TEI><affiliations><list><country><li>France</li><li>Mexique</li></country></list><tree><country name="Mexique"><noRegion><name sortKey="Estrada, Antonio" sort="Estrada, Antonio" uniqKey="Estrada A" first="Antonio" last="Estrada">Antonio Estrada</name></noRegion><name sortKey="Fridman, Leonid" sort="Fridman, Leonid" uniqKey="Fridman L" first="Leonid" last="Fridman">Leonid Fridman</name></country><country name="France"><noRegion><name sortKey="Loria, Antonio" sort="Loria, Antonio" uniqKey="Loria A" first="Antonio" last="Loria">Antonio Loria</name></noRegion><name sortKey="Santiesteban, Raul" sort="Santiesteban, Raul" uniqKey="Santiesteban R" first="Raul" last="Santiesteban">Raul Santiesteban</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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