Title: | On asymptotic stabilization of driftless systems |
Authors: | Liang, YW Liaw, DC 電控工程研究所 Institute of Electrical and Control Engineering |
Keywords: | driftless systems;feedback controller;time-invariant stabilizer;Lyapunov function |
Issue Date: | 11-Sep-2000 |
Abstract: | A simple approach is proposed to investigate the stabilization of driftless systems. By taking the control input as a function of system states, we can transform the stabilization design into a stability problem. The known stability results on the nonlinear autonomous system are then employed to derive the asymptotically stabilizing controllers by solving an algebraic equation. Existence conditions of the asymptotic stabilizing feedback controller for the driftless systems by employing the stability criteria on linear systems and a class of third-order homogeneous systems are obtained to demonstrate the application of the approach. (C) 2000 Elsevier Science Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/S0096-3003(99)00125-3 http://hdl.handle.net/11536/30254 |
ISSN: | 0096-3003 |
DOI: | 10.1016/S0096-3003(99)00125-3 |
Journal: | APPLIED MATHEMATICS AND COMPUTATION |
Volume: | 114 |
Issue: | 2-3 |
Begin Page: | 303 |
End Page: | 314 |
Appears in Collections: | Articles |
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