Dynamic inversion for nonaffine-in-control systems via time-scale separation. Part I

被引:64
|
作者
Hovakimyan, Naira [1 ]
Lavretsky, Eugene [1 ]
Sasane, Amol [1 ]
机构
[1] Virginia Polytech Inst & State Univ, Blacksburg, VA 24061 USA
关键词
nonaffine-in-control dynamical systems; time-scale separation; tracking;
D O I
10.1007/s10883-007-9029-1
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a new method for approximate dynamic inversion of nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of the "fast" dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which satisfy the assumptions of the Tikhonov theorem in the theory of singular perturbations. Several examples illustrate the theoretical results.
引用
收藏
页码:451 / 465
页数:15
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