State observers in the design of eigenstructures for enhanced sensitivity

State observers in the design of eigenstructures for enhanced sensitivity
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状态观察者设计特征结构以增强灵敏度

DOI:
10.1016/j.ymssp.2018.03.034
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发表时间:
2018
影响因子:
8.4
通讯作者:
Bernal, D.
Bernal, D.
中科院分区:
工程技术1区
文献类型:
--
作者:
Bernal, D.

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闭环增强灵敏度设计的问题如下:给定一个线性时不变系统,找到一个(可实现的)反馈增益,使得:(1)闭环在参考和潜在损坏状态下是稳定的,(2)特征结构包括一个极点子集,具有期望的导数,位于平面的一部分,识别是可行的。本文证明了控制器/观测器系统的极点对系统参数的导数与通常的假设相反,它同时依赖于控制器和观测器的增益,即分离原理适用于极点的配置,但不适用于极点导数。封闭形式的表达式的衍生物,适当考虑到这两个增益。检查表明,这些衍生物的总和是独立的两个增益,是恒定的沿着的非线性路径跟踪的极点作为损害的增加,并提供的损害只影响刚度,几乎为零。
The problem of closed-loop enhanced sensitivity design is as follows: Given a linear time invariant system, find a (realizable) feedback gain such that: (1) the closed-loop is stable in the reference and the potentially damaged states, and (2) the eigenstructure includes a subset of poles, with desirable derivatives, that lie in a part of the plane where identification is feasible. This paper shows that pole derivatives with respect to system parameters for a controller/observer system, contrary to the assumption often made, depend on both the controller and the observer gains, i.e. the separation principle holds for placing the poles but does not extend to the pole derivatives. Closed-form expressions for the derivatives with due consideration to both gains are presented. Examination shows that the sum of these derivatives is independent of both gains, is constant along the nonlinear paths traced by the poles as damage increases and, provided the damage affects only the stiffness, is nearly zero.
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发表时间: 1980
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