Homogeneous Approximation, Recursive Observer Design, and Output Feedback
Homogeneous Approximation, Recursive Observer Design, and Output Feedback
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DOI：
10.1137/060675861
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
V. Andrieu;L. Praly;A. Astolfi
中科院分区：
文献类型：
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作者：
V. Andrieu;L. Praly;A. Astolfi
我们介绍了两个新的工具，可以在非线性观测器和输出反馈设计有用。第一个是齐次逼近概念的简单扩展，使其在原点和无穷远处都有效（双极限的齐次性）。利用这一推广，我们给出了关于双极限向量场中齐次系统的稳定性和鲁棒性的几个结果。第二个工具是一个新的递归观测器设计过程的链的积分。结合这两个工具，我们提出了一个新的全局渐近稳定的结果，通过输出反馈的反馈和前馈系统。
We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability and robustness for a homogeneous in the bi-limit vector field. The second tool is a new recursive observer design procedure for a chain of integrator. Combining these two tools, we propose a new global asymptotic stabilization result by output feedback for feedback and feedforward systems.