期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 58, 期 5, 页码 2997-3018出版社
SIAM PUBLICATIONS
DOI: 10.1137/19M1285081
关键词
nonholonomic kinematic; underactuated mechanical systems; small-time stabilization; homogeneity; time-varying feedback
资金
- ANR Finite4SoS [ANR 15 CE23 0007]
This paper concerns the small-time stabilization of some classes of mechanical systems which are not stabilizable by means of time-invariant continuous state feedback laws. This is the case of nonholonomic systems, an example being the unicycle-like mobile robot, or for underactuated mechanical systems, an example being the slider. Explicit time-varying feedback laws leading to small-time stabilization are constructed for these two control systems. The main tools are homogeneity, backstepping, and desingularization techniques.
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