A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
@article{bwmeta1.element.bwnjournal-article-amcv14i4p455bwm,
author = {Skruch, Pawe\l },
title = {Stabilization of second-order systems by non-linear feedback},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {14},
year = {2004},
pages = {455-460},
zbl = {1137.93345},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv14i4p455bwm}
}
Skruch, Paweł. Stabilization of second-order systems by non-linear feedback. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) pp. 455-460. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv14i4p455bwm/
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