A Sliding Mode Observer-based Limit Cycle Oscillation Suppression using a Robust Active Flow Control Technique
A Sliding Mode Observer-based Limit Cycle Oscillation Suppression using a Robust Active Flow Control Technique
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DOI：
10.1109/ccta49430.2022.9966001
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发表时间：
2022-08
期刊：
影响因子：
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通讯作者：
Krishna Bhavithavya Kidambi;Madhur Tiwari;A. Jayaprakash;W. MacKunis;V. Golubev
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文献类型：
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作者：
Krishna Bhavithavya Kidambi;Madhur Tiwari;A. Jayaprakash;W. MacKunis;V. Golubev
提出了一种基于滑模观测器（SMO）的鲁棒控制方法，实现了对柔性翼型的速度估计、速度调节和极限环振荡（LCO）抑制。所提出的控制设计是基于一个动态模型，该模型将在翼型的流体结构相互作用（FSI）。流固耦合描述了柔性结构表面的流场速度如何产生作用在结构上的流体力。在所提出的控制方法中，LCO通过使用表面嵌入式合成射流致动器控制翼型表面附近的流场速度来控制。流场的速度表示使用适当的正交分解的基础上的降阶流动模型，正式纳入合成射流激励器的驱动效果。具体地，该流场速度分布被驱动到期望的时变分布，这导致作用在翼型件上的LCO稳定流体强制功能。设计了一种滑模观测器来估计驱动流场动力学降阶模型中的不可测状态。严格证明了SMO在SJA中存在参数不确定性的情况下可以实现不可测状态的局部有限时间估计。一个基于李雅普诺夫的稳定性分析，证明了主动流量控制系统渐近收敛到LCO稳定的强制功能，抑制LCO。数值仿真结果表明，增广观测器提供了一个减少所需的控制努力，以稳定LCO。
This paper presents a sliding mode observer (SMO)-based robust control method, which achieves simultaneous estimation, fluid flow velocity regulation and limit cycle oscillation (LCO) suppression in a flexible airfoil. The proposed control design is based on a dynamic model that incorporates the fluid structure interactions (FSI) in the airfoil. The FSI describe how the flow field velocity at the surface of a flexible structure gives rise to fluid forces acting on the structure. In the proposed control method, the LCO are controlled via control of the flow field velocity near the surface of the airfoil using surface-embedded synthetic jet actuators. The flow field velocity is expressed using a proper orthogonal decomposition based reduced-order flow model that formally incorporates the actuation effects of synthetic jet actuator. Specifically, this flow field velocity profile is driven to a desired time-varying profile, which results in a LCO-stabilizing fluid forcing function acting on the airfoil. A sliding mode observer is designed to estimate the unmeasurable states in the reduced-order model of the actuated flow field dynamics. The SMO is rigorously proven to achieve local finite-time estimation of the unmeasurable state in the presence of the parametric uncertainty in the SJA. A Lyapunov-based stability analysis is used to prove that the active flow control system asymptotically converges to the LCO-stabilizing forcing function that suppresses the LCO. Numerical simulation results demonstrate that the augmented observer provides a reduction in the control effort required to stabilize the LCO.