Article
Stabilization of oscillations through backstepping in high-dimensional systems
Author/s | Aracil Santonja, Javier
Gordillo Álvarez, Francisco Ponce Núñez, Enrique |
Department | Universidad de Sevilla. Departamento de Ingeniería de Sistemas y Automática Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2005-05 |
Deposit Date | 2015-04-06 |
Published in |
|
Abstract | This paper introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input nonlinear systems of dimension n ≥ 2. The oscillations are associated to a limit cycle that is produced ... This paper introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input nonlinear systems of dimension n ≥ 2. The oscillations are associated to a limit cycle that is produced in a second-order subsystem by means of an appropriate feedback law. Then, the controller is extended to the full system by a backstepping procedure. It is shown that the closed-loop system turns out to be generalized Hamiltonian and that the limit cycle can be thought as born in a Hopf bifurcation after moving a parameter. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
Files | Size | Format | View | Description |
---|---|---|---|---|
TN03-06-30.pdf | 157.6Kb | [PDF] | View/ | |