RESEARCH INITIATION AWARD: System Modeling with Closed Loop Performance Odjectives in a Robust Control Framework

研究启动奖：在鲁棒控制框架中使用闭环性能目标进行系统建模

• 批准号: 9308917
• 负责人: Roy Smith
• 金额: $ 9.45万
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-09-01 至 1996-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9308917&HistoricalAwards=false
• 关键词: RESEARCH; INITIATION; AWARD; System; Modeling

9308917 Smith This work addresses the problem of modeling systems in a robust control framework. Analysis and synthesis in this framework are relatively well developed. However, the lack of a compatible modeling and identification theory is slowing the practical application of robust control. The problem to be addressed is the following: How accurately must a system, or component of a system, be modeled in order to maintain stability and achieve a specified closed loop performance objective? This problem is generalized to the case where other system components themselves are uncertain (to within known bounds). This immediately leads to the problem of connecting the required accuracy with the taking of experimental data. An iterative identification/modeling approach is proposed for both experimental and theoretical study. The models considered are standard in the robust control framework: linear, time-invariant with Hoo norm bounded perturbations. Closed loop performance is specified as a general weighted Hoo criterion. Progress on these problems will provide a more direct connection between the rich theoretical area of Hoo robust control and its application to practical problems. This will also lead to a better understanding of what types of physical uncertainties can be usefully modeled as linear fractional perturbations. ***

9308917 Smith这项工作解决了在健壮的控制框架中建模系统的问题。 该框架中的分析和合成相对较好。 但是，缺乏兼容的建模和识别理论正在减慢稳健控制的实际应用。 要解决的问题是：为了保持稳定性并实现指定的闭环性能目标，对系统的系统或组件必须如何准确？ 该问题概括为其他系统组件本身不确定的情况（在已知范围内）。 这立即导致将所需准确性与获取实验数据联系起来的问题。 为实验和理论研究提出了一种迭代鉴定/建模方法。 在健壮的控制框架中，所考虑的模型是标准的：线性，具有hoo norm限制的扰动的时变。 闭环性能指定为一般加权标准。 这些问题的进展将在Hoo Robust Control的丰富理论领域与其在实际问题上的应用之间提供更直接的联系。 这也将使人们更好地理解哪些类型的物理不确定性可以用作线性分数扰动。 ***