Reduced-order Dynamic Modeling and Robust Nonlinear Control of Fluid Flow Velocity Fields
Reduced-order Dynamic Modeling and Robust Nonlinear Control of Fluid Flow Velocity Fields
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DOI：
10.1109/cdc45484.2021.9683068
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发表时间：
2021-12
期刊：
影响因子：
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通讯作者：
A. Jayaprakash;W. MacKunis;V. Golubev;O. Stalnov
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文献类型：
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作者：
A. Jayaprakash;W. MacKunis;V. Golubev;O. Stalnov
提出了一种鲁棒非线性控制方法，用于流体流速跟踪，形式上解决了闭环主动流量控制系统实际实现中的固有挑战。这里要解决的一个关键挑战是流量控制设计，以补偿模型参数的变化，可能会出现致动器扰动。的控制设计是基于一个详细的降阶模型的致动流动力学，这是严格推导出将固有的随时间变化的不确定性的模型参数和致动器的动态。据作者所知，这是第一个强大的非线性闭环主动流量控制的结果，以证明指数跟踪控制的降阶驱动流动态模型，它正式纳入了输入乘性时变参数不确定性和非线性耦合之间的状态和控制信号。一个严格的基于李雅普诺夫的稳定性分析是用来证明半全球指数跟踪所需的流场速度分布在给定的空间域。提供了一个详细的比较数值研究，这表明，使用所提出的鲁棒非线性流量控制方法来补偿模型的不确定性和不确定的执行器动态性能的改善。
A robust nonlinear control method is developed for fluid flow velocity tracking, which formally addresses the inherent challenges in practical implementation of closed-loop active flow control systems. A key challenge being addressed here is flow control design to compensate for model parameter variations that can arise from actuator perturbations. The control design is based on a detailed reduced-order model of the actuated flow dynamics, which is rigorously derived to incorporate the inherent time-varying uncertainty in the both the model parameters and the actuator dynamics. To the best of the authors’ knowledge, this is the first robust nonlinear closed-loop active flow control result to prove exponential tracking control of a reduced-order actuated flow dynamic model, which formally incorporates input-multiplicative time-varying parametric uncertainty and nonlinear coupling between the state and control signal. A rigorous Lyapunov-based stability analysis is utilized to prove semi-global exponential tracking of a desired flow field velocity profile over a given spatial domain. A detailed comparative numerical study is provided, which demonstrates the performance improvement that is achieved using the proposed robust nonlinear flow control method to compensate for model uncertainty and uncertain actuator dynamics.