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arXiv 2004.01483eess.SYcs.SY
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测量噪声下用于自抗扰动抑制控制的级联扩张状态观测器

Cascade Extended State Observer for Active Disturbance Rejection Control Applications under Measurement Noise

Krzysztof Łakomy, Rafal Madonski

摘要:

扩张状态观测器在非线性系统的反馈控制设计中起着重要的作用。然而,其高增益特性在工程实践中造成了一个挑战,即输出测量被不可忽略的高频噪声破坏。这种噪声的存在对观测器增益可以有多高提出了约束,这迫使在状态估计的快速收敛和控制任务实现的质量之间进行权衡。在这项工作中,提出了一种新的观测器的设计,以提高在噪声的存在下的估计性能。特别是,开发了一种独特的ESO级联组合,该组合能够快速准确地重建信号,同时避免了测量噪声的过度放大。所引入的观测器结构的有效性进行了验证,而作为一个主动扰动抑制控制(ADRC)计划的一部分。新的观测器结构进行的数值验证和理论分析表明,在噪声衰减方面的标准解决方案的改善。

英文摘要:

The extended state observer (ESO) plays an important role in the design of feedback control for nonlinear systems. However, its high-gain nature creates a challenge in engineering practice in cases where the output measurement is corrupted by non-negligible, high-frequency noise. The presence of such noise puts a constraint on how high the observer gains can be, which forces a trade-off between fast convergence of state estimates and quality of control task realization. In this work, a new observer design is proposed to improve the estimation performance in the presence of noise. In particular, a unique cascade combination of ESOs is developed, which is capable of fast and accurate signals reconstruction, while avoiding over-amplification of the measurement noise. The effectiveness of the introduced observer structure is verified here while working as a part of an active disturbance rejection control (ADRC) scheme. The conducted numerical validation and theoretical analysis of the new observer structure show improvement over standard solution in terms of noise attenuation.

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