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Smooth time-varying stabilization of driftless systems over communication channels
Ist Teil von
Systems & control letters, 2006-12, Vol.55 (12), p.982-991
Ort / Verlag
Amsterdam: Elsevier B.V
Erscheinungsjahr
2006
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
We address the problem of smooth time-varying stabilization of port-interconnected driftless passive systems. The benchmark that we study is reminiscent of driftless systems interconnected over communication channels and constitutes a generalization of the well-known chained-form nonholonomic systems. Our contribution consists in proposing a smooth time-varying controller that guarantees uniform global asymptotic stability; moreover, a necessary condition is also stated. Both the sufficient and necessary conditions are formulated in terms of the so-called
δ
-persistency of excitation previously used in set-point control of nonholonomic systems. The proof of sufficiency relies on a recently reported extended Matrosov's theorem which may be regarded as an extension of Krasovskı˘i-La Salle's invariance principle to the case of nonautonomous systems.