43699

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

A Tractable Nonconvex Surrogate for the Matrix l0-quasinorm: Applications to Sparse Feedback Design

Наименование источника: 

  • IFAC-PapersOnLine

Обозначение и номер тома: 

Vol. 49, Iss. 13

Город: 

  • Oxford

Издательство: 

  • Elsevier

Год издания: 

2016

Страницы: 

053–058
Аннотация
In a recent paper, an approach to sparse feedback design in linear control systems was proposed, leading to row/column sparse controller gain matrices, i.e., those containing zero rows/columns. To solve this problem, a special matrix norm was considered such that it was used as a convex surrogate for the inherently nonconvex original problem. The contribution of this current paper is twofold. First, we propose a different surrogate which shows itself more efficient, though also being nonconvex. Second, we extend the original approach toward the classical $H_\infty$-optimization problem. A heuristic in support of the efficiency of the new surrogate is given and numerical examples are presented that testify to a better performance of the new method.

Библиографическая ссылка: 

Быков А.В., Щербаков П.С., Ding M.S. A Tractable Nonconvex Surrogate for the Matrix l0-quasinorm: Applications to Sparse Feedback Design // IFAC-PapersOnLine. 2016. Vol. 49, Iss. 13. С. 053–058.