Szczegóły publikacji
Opis bibliograficzny
Feedback stabilization of a class of nonlinear second-order systems / Paweł SKRUCH // Nonlinear Dynamics ; ISSN 0924-090X. — 2010 — vol. 59 iss. 4, s. 681–693. — Bibliogr. s. 693, Abstr. — Publikacja dostępna online od: 2009-08-15
Autor
Słowa kluczowe
Dane bibliometryczne
ID BaDAP | 51232 |
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Data dodania do BaDAP | 2010-03-30 |
Tekst źródłowy | URL |
DOI | 10.1007/s11071-009-9570-4 |
Rok publikacji | 2010 |
Typ publikacji | artykuł w czasopiśmie |
Otwarty dostęp | |
Czasopismo/seria | Nonlinear Dynamics |
Abstract
The goal of this paper is to study stabilization techniques for a system described by nonlinear second-order differential equations. The problem is to determine the feedback control as a function of the state variables. It is shown that the following controllers can asymptotically stabilize the system: linear position feedback, linear velocity feedback and a group of nonlinear feedbacks. The stability of the corresponding closed-loop system is proved by imposing a suitable Lyapunov function and then using LaSalle’s invariance principle. The results of numerical computations are included to verify theoretical analysis and mathematical formulation. Some application examples from robotics, mechanics and electronics are presented.