NSF Young Investigator

9358288 ROTEA正如在其他工程领域一样，控制系统的设计涉及相互竞争的目标之间的权衡。基本问题是寻找一种控制器来优化与一个动态系统相关的几个相互竞争的性能和健壮性要求。对参考输入的良好跟踪与对传感器噪声的低灵敏度、稳健的稳定性与性能，只是这些权衡的几个例子。显然，开发工具来帮助设计者理解各种相互竞争的目标是如何相互冲突的，这一点很重要。这项研究的一个目标是在对象描述中存在不确定性的情况下，获得满足几个设计规范的控制器的综合设计程序。直观地看出，如果将被控对象和控制器同时设计，而不是先设计被控对象，再设计控制器，那么给定系统的性能可能会得到极大的改善。不幸的是，在一些与工程相关的情况下，由于大量的变量和设计目标，综合的对象/控制器设计是不可行的。然而，对于一些具有挑战性的航空航天问题，这样的整合不仅是可行的，而且也是可取的。这项研究的另一个目标是开发一种满足多种具有实际意义的设计规范的系统设计方法(即既要设计对象又要设计控制器)。这项研究有三个主要部分：(1)为分析和综合具有多个设计规范的鲁棒反馈系统发展新的理论结果；(2)发展计算效率高的算法来实现该理论；以及(3)应用程序来验证结果。***

9358288 Rotea As in other areas of engineering, design of control systems involves tradeoffs among competing objectives. The basic problem is to find a controller that optimizes several competing performance and robustness requirements associated with one dynamical system. Good tracking of reference inputs vs low sensitivity to sensor noise, robust stability vs performance, are just a few examples of these tradeoffs. Clearly, it is important to develop tools to help the designer understand how the various competing objectives conflict with each other. One goal of this research is to obtain design procedures for the synthesis of controllers that meet several design specifications in the presence of uncertainty in the plant description. It is intuitively obvious that the performance of a given system may be greatly improved if the plant to be controlled and the controller are designed simultaneously rather than designing the plant first and then the controller. Unfortunately, in some cases of engineering relevance, an integrated plant/controller design is not feasible due to the large number of variables and design objectives. However, there are some challenging aerospace problems for which such an integration is not only feasible but also desirable. Another goal of this research is to develop a methodology for the design of systems (i.e. both plant and controller are to be designed) that satisfy multiple design specifications of practical significance. This research has three main components: (1) the development of new theoretical results for the analysis and synthesis of robust feedback systems with multiple design specifications, (2) the development of computational efficient algorithms to implement the theory, and (3) applications to validate the results. ***