Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I
Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I
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DOI：
10.1007/s10883-007-9029-1
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发表时间：
2005-06
影响因子：
0.9
通讯作者：
N. Hovakimyan;E. Lavretsky;A. Sasane
中科院分区：
文献类型：
--
作者：
N. Hovakimyan;E. Lavretsky;A. Sasane
本文提出了一种基于时标分离的非仿射受控系统近似动态逆的新方法。控制信号寻求作为一个解决方案的“快速”的动态和渐近稳定的原始非仿射系统。给出了满足奇异摄动理论中吉洪诺夫定理假设的充分条件。几个例子说明了理论结果。
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.