# 43699

## 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

Vol. 49, Iss. 13

• Oxford

• Elsevier

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.