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Improved methods for robust stability analysis of nonlinear hydraulic control systems: A bifurcation-based procedure.

机译:非线性液压控制系统鲁棒稳定性分析的改进方法:基于分叉的过程。

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摘要

Automatic transmission hydraulic systems designed using the current industry-standard analysis procedures sometimes exhibit unacceptably large pressure oscillations. The current simulation-based analysis procedures fail to predict these steady state nonlinear oscillations (limit cycles) because the inefficiencies associated with using simulation for stability analysis and parameter space gridding for robustness analysis severely restrict the size of the parameter space that can be analyzed, leading to an incomplete and sometimes inaccurate measure of a nominal system's stability robustness.; An alternate method for quantifying stability robustness with respect to limit cycle oscillations can be developed based on the following facts: (1) Hopf bifurcations correspond to the birth of limit cycle oscillations, and (2) a nominal system's stability boundary can be approximated by the boundary of its feasibility region which is generically composed of locally smooth codimension 1 bifurcation surfaces (Hopf and Saddle Node bifurcations). The Closest Bifurcation Method uses these facts to avoid the difficult process of completely defining the stability boundary by directly computing the points on the boundary that are locally closest to the nominal system by means of an efficient iterative procedure that finds the directions in parameter space that pass through the nominal system and are co-linear with the normal vectors.; A rigorous Stability Robustness Analysis Program (STRAP) based on the Closest Bifurcation Method is developed in this dissertation. The program is validated by comparison with experimentally verified simulation results. It represents a significant improvement over current analysis methods because it is capable of efficiently analyzing large systems with large parameter spaces, leading to a more meaningful measure of a system's stability robustness. Newly developed strategies for improving analysis efficiency via reduced state submodels and parameter space reductions enable the analysis method to better handle large systems. Other advancements include methods for normalizing non-homogeneous parameter spaces to produce meaningful distance metrics, and procedures for quantifying stability robustness with constrained parameters. The most important advancement is an extension of the local Closest Bifurcation Method to make it capable of quantifying global stability robustness with respect to both asymptotic stability and large amplitude oscillations.
机译:使用当前行业标准分析程序设计的自动变速箱液压系统有时会出现无法接受的大压力波动。当前基于仿真的分析程序无法预测这些稳态非线性振荡(极限环),因为将仿真用于稳定性分析和将参数空间网格化用于鲁棒性分析的效率低下严重限制了可以分析的参数空间的大小,从而导致对标称系统的稳定性鲁棒性的不完整,有时不准确的度量;可以基于以下事实,开发出另一种量化极限循环振荡稳定性鲁棒性的方法:(1)Hopf分支对应于极限循环振荡的产生;(2)标称系统的稳定性边界可以通过它的可行性区域的边界,通常由局部光滑的codimension 1分叉面(Hopf和Saddle Node分叉)组成。最接近分叉法利用这些事实来避免通过完全有效地迭代程序来直接计算边界上与标称系统局部最接近的点,从而完全定义了稳定边界的困难过程,该过程在参数空间中找到了通过的方向。通过标称系统,并且与法线向量共线。本文提出了一种基于最近分叉法的严格的稳健性分析程序(STRAP)。通过与实验验证的仿真结果进行比较来验证该程序。它代表了对当前分析方法的重大改进,因为它能够高效地分析具有大参数空间的大型系统,从而可以更有意义地衡量系统的稳定性。通过减少状态子模型和减少参数空间来提高分析效率的新开发策略使分析方法能够更好地处理大型系统。其他进步包括用于标准化非均匀参数空间以产生有意义的距离度量的方法,以及用于通过约束参数来量化稳定性鲁棒性的过程。最重要的进步是对局部最近分叉方法的扩展,使其能够量化关于渐近稳定性和大振幅振荡的整体稳定性鲁棒性。

著录项

  • 作者

    Kremer, Gregory G.;

  • 作者单位

    University of Cincinnati.;

  • 授予单位 University of Cincinnati.;
  • 学科 Engineering Mechanical.; Engineering Automotive.
  • 学位 Ph.D.
  • 年度 1998
  • 页码 229 p.
  • 总页数 229
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;自动化技术及设备;
  • 关键词

  • 入库时间 2022-08-17 11:48:48

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