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

9308917史密斯这项工作解决了在鲁棒控制框架中对系统建模的问题。在这个框架下的分析和综合是比较发达的。然而，由于缺乏兼容的建模和辨识理论，阻碍了鲁棒控制的实际应用。要解决的问题如下：为了维护稳定性和实现指定的闭环系统性能目标，必须对系统或系统组件进行多精确的建模？这个问题被推广到其他系统组件本身不确定的情况(在已知范围内)。这立即导致了将所需的精度与获取实验数据联系起来的问题。提出了一种迭代辨识/建模方法，用于实验和理论研究。所考虑的模型是鲁棒控制框架中的标准模型：具有Hoo范数有界摄动的线性、时不变的。将闭环系统的性能指定为一般加权HoO准则。在这些问题上的进展将在丰富的鲁棒控制理论领域和实际问题的应用之间提供更直接的联系。这也将导致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. ***