论文标题
使用基于V-GAP的集群的一组系统的原型描述和控制器设计
Prototypical Description and Controller Design for a Set of Systems Using v-gap Based Clustering
论文作者
论文摘要
我们提出了一种为一组线性系统设计稳定控制器的方法，而无需限制其建模顺序。为此，在$ν$ -GAP度量的空间中将系统视为抽象对象。通过群集分析，系统集分为V-GAP相似的簇，这些簇被分别处理。为此，我们提供了一种算法，该算法通过概括给定系统集的信息来构建明确的原型系统。将此算法应用于每个集群一组原型系统。鉴于这些原型，我们设计控制器的方式使分配给集群的所有系统都将通过相应的控制器稳定。为一组80个线性系统展示了该方法。
We present an approach to design stabilizing controllers for a set of linear systems without restrictions regarding their modeling order. To this end, the systems are treated as abstract objects in the space of the $ν$-gap metric. Via a cluster analysis the set of systems is split into v-gap similar clusters which are treated separately. For this purpose we provide an algorithm that constructs an explicit prototype system by generalizing the information of a given set of systems. Applying this algorithm to each cluster a set of prototype systems is obtained. Given these prototypes we design controllers in such a way that all systems assigned to a cluster will be stabilized by a corresponding controller. The approach is demonstrated for a set of 80 linear systems.
