Robust Control of Systems under Mixed Time/Frequency-Domain Performance Specifications and Applications

一个成功的控制器设计范例必须同时考虑模型不确定性和性能规范。利用HoO鲁棒控制框架可以成功地解决模型不确定性问题。然而，这种框架不能适应这样的现实情况，即除了健壮性考虑之外，系统还受到时间和频域性能规范的约束。在这项研究中，我们建议开发一个稳健的控制框架，明确考虑到这些规范。具体地说，拟议研究的目标是：1)开发一套简单的衡量标准，以描述在存在不确定性的情况下，一套给定的性能规范得到满足的程度。2)开发一种控制器综合程序，它使用问题中可用的额外自由度来最大化一组控制器上的适当性能度量，从而达到所需的鲁棒性水平。本研究将使用Youla参数化法将问题转化为约束最优化形式。这项研究工作将产生一个扩展的HoO框架，能够在不需要近似或多次试错式迭代的情况下解决实际问题，从而导致改进和更低成本的设计。由此产生的框架将用于设计火力发电厂和柔性结构的控制器。作为研究工作的一部分，这些控制器将使用模拟和原型结构进行测试。

A successful controller design paradigm must take into account both model uncertainty and performance specifications. Model uncertainty can be used successfully addressed using the Hoo robust control framework. However, this framework cannot accommodate the realistic case where in addition to robustness considerations, the system is subject to both time and frequency domain performance specifications. In this research we propose to develop a robust control framework that takes explicitly into account these specifications. Specifically, the objectives of the proposed research are: 1) Development of a set of simple measures to describe how well a given set of performance specifications is satisfied in the presence of uncertainty. 2) Development of a controller synthesis procedure that uses extra degrees of freedom available in the problem to maximize an appropriate performance measure over the set of controllers that achieve a desired robustness level. This research will use the Youla parametrization to cast the problem into constrained optimization form. This research effort will result in an expanded Hoo framework, capable of addressing realistic problems without necessitating approximations nor multiple trial and error type iterations, thus leading to improved and less costly designs. The resulting framework will be used to design controllers for thermal power plants and flexible structures. As part of the research effort, these controllers will be tested both using simulations and prototype structure.