A sliding mode estimation method for fluid flow fields using a differential inclusions-based analysis
A sliding mode estimation method for fluid flow fields using a differential inclusions-based analysis
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DOI：
10.1080/00207179.2020.1713403
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发表时间：
2020-01
影响因子：
2.1
通讯作者：
Krishna Bhavithavya Kidambi;W. MacKunis;S. Drakunov;V. Golubev
中科院分区：
文献类型：
--
作者：
Krishna Bhavithavya Kidambi;W. MacKunis;S. Drakunov;V. Golubev
本文提出了一种滑模观测器（SMO）的设计和收敛性分析，其中包括一个严格的处理，以解决多个不连续性的估计误差动态。在我们以前的SMO结果的扩展，目前的工作提供了一个非平凡的返工的SMO估计误差系统的发展和稳定性分析，采用微分包含。本文在前人工作的基础上提出的具体贡献包括：（1）SMO的基于微分包含的分析，它结合了不连续符号函数的集值定义;（2）估计误差动态的扩展推导，它强调了SMO结构特有的有利性质;（3）SMO的基于Lyapunov的稳定性分析，其严格地将多个不连续性并入估计误差动态中。基于Lyapunov的稳定性分析证明了SMO实现了完整状态向量的有限时间估计，其中输出方程是非标准的数学形式。为了测试SMO的性能，还提供了数值模拟结果，其证明了SMO仅使用流场速度的单个传感器测量来估计流体流动动态系统的状态的能力。
A sliding mode observer (SMO) design and convergence analysis are presented in this paper, which includes a rigorous treatment to address multiple discontinuities in the resulting estimation error dynamics. In an extension of our previous SMO results, the current work provides a non-trivial reworking of the SMO estimation error system development and stability analysis that incorporates differential inclusions. The specific contributions presented in this paper beyond the previous work include: (1) A differential inclusions-based analysis of the SMO, which incorporates the set-valued definition of the discontinuous signum function; (2) An expanded derivation of the estimation error dynamics, which emphasises advantageous properties particular to our SMO structure; (3) A Lyapunov-based stability analysis of the SMO, that rigorously incorporates the multiple discontinuities in the estimation error dynamics. The Lyapunov-based stability analysis proves that the SMO achieves finite-time estimation of the complete state vector, where the output equation is in a nonstandard mathematical form. To test the performance of the SMO, numerical simulation results are also provided, which demonstrate the capability of the SMO to estimate the state of a fluid flow dynamic system using only a single sensor measurement of the flow field velocity.