Performance Limitations of Observer-Based Feedback for Transient Energy Growth Suppression
Performance Limitations of Observer-Based Feedback for Transient Energy Growth Suppression
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基于观察者的反馈对瞬态能量增长抑制的性能限制
DOI：
10.2514/1.j056877
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发表时间：
2017
期刊：
影响因子：
2.5
通讯作者：
Huaijin Yao
中科院分区：
文献类型：
--
作者：
Maziar S. Hemati;Huaijin Yao
瞬时能量增长抑制是反馈流动控制的一个共同控制目标，目的是延缓向湍流的过渡。在这种情况下，一种流行的控制方法是基于观测器的反馈，在该方法中，全状态反馈控制器被应用于来自观测器的状态估计。本研究指出了基于观测器的反馈控制的一个基本性能限制：当不被控系统在响应最优扰动时表现出瞬时能量增长时，基于观测器的反馈控制必然导致闭环系统在响应最优扰动时的瞬时能量增长。事实上，这一结果表明，在暂态能量增长抑制和过渡延迟的背景下，基于观测器的反馈可能不太适合控制器综合：暂态能量增长抑制的性能目标永远不能通过基于观测器的反馈来实现。此外，使用一个说明性的例子来表明，替代形式的输出反馈不一定受到这些相同的性能限制，并且也应该在暂态能量增长抑制和转变控制的背景下考虑。
Transient energy growth suppression is a common control objective for feedback flow control aimed at delaying transition to turbulence. A prevailing control approach in this context is observer-based feedback, in which a full-state feedback controller is applied to state estimates from an observer. The present study identifies a fundamental performance limitation of observer-based feedback control: whenever the uncontrolled system exhibits transient energy growth in response to optimal disturbances, control by observer-based feedback will necessarily lead to transient energy growth in response to optimal disturbances for the closed-loop system as well. Indeed, this result establishes that observer-based feedback can be a poor candidate for controller synthesis in the context of transient energy growth suppression and transition delay: the performance objective of transient energy growth suppression can never be achieved by means of observer-based feedback. Further, an illustrative example is used to show that alternative forms of output feedback are not necessarily subject to these same performance limitations, and should also be considered in the context of transient energy growth suppression and transition control.