Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability
Nonlinear High Gain Separation Principles and Fast Sampling Results ensuring Robust Stability
复制标题
非线性高增益分离原理和快速采样结果确保鲁棒稳定性
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Markus Mueller
中科院分区：
文献类型：
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作者：
M. French;Markus Mueller
描述了半全局非线性分离原理，在该原理下，基于输出及其导数（通常是状态或部分状态）的稳定控制器可以被仅基于输出测量的控制器所取代。结果包括输出导数的高增益观测器重构和通过数值导数逼近输出导数的情况，并给出了基于离散采样的各种可实现方案。同样的抽样结构和结果也直接应用于输出测量本身，从而产生快速抽样定理。该证明基于估计原始控制器与重构逼近之间的间隙距离和基于鲁棒稳定裕度的条件。
A semi-global nonlinear separation principle is described which presents conditions under which a stabilizing controller based on the output and its derivatives (typically the state or partial state) can be replaced by a controller based on measurement of the output only. The results include the case of high gain observer reconstruction of the output derivatives and the case of approximating the output derivatives via numerical derivatives for which various realizable schemes based on discrete sampling are given. The same sampling constructions and results are also applied directly to the output measurement itself, giving rise to fast sampling theorems. The proofs are based on estimating gap distances between the original controller and the reconstructed approximation and conditions based on the robust stability margin.
通过线性输出延迟反馈实现稳健稳定
影响因子：
2.2
作者：
French M
通讯作者：
French M