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

这项工作解决了在鲁棒控制框架中对系统建模的问题。在这一框架下的分析和综合比较发达。然而，缺乏兼容的建模和识别理论阻碍了鲁棒控制的实际应用。要解决的问题如下：为了保持稳定性和实现指定的闭环性能目标，系统或系统组件的建模必须有多精确？这个问题推广到其他系统组件本身不确定的情况（在已知范围内）。这就立即导致了将所要求的准确性与实验数据的获取联系起来的问题。提出了一种迭代识别/建模方法，用于实验和理论研究。所考虑的模型在鲁棒控制框架中是标准的：线性，时不变的Hoo范数有界扰动。闭环性能被指定为一般加权Hoo准则。这些问题的研究进展将为胡鲁棒控制丰富的理论领域与其在实际问题中的应用提供更直接的联系。这也将有助于更好地理解哪些类型的物理不确定性可以有效地建模为线性分数扰动。＊＊＊

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. ***