Orbital Stabilization of Nonlinear Systems via the Immersion and Invariance Technique
Systems and Control
2019-12-03 v3
Abstract
Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated by some modern applications we show that the technique can also be used to solve the problem of orbital stabilization, where the final objective is to generate periodic solutions that are attractive. The feasibility of our result is illustrated with some classical mechanical engineering and electronics examples.
Keywords
Cite
@article{arxiv.1810.00601,
title = {Orbital Stabilization of Nonlinear Systems via the Immersion and Invariance Technique},
author = {Romeo Ortega and Bowen Yi and Jose Guadalupe Romero and Alessandro Astolfi},
journal= {arXiv preprint arXiv:1810.00601},
year = {2019}
}