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Avtomat. i Telemekh., 2018, Issue 7, Pages 3–21 (Mi at15106)  

Linear Systems

Sparse feedback design in discrete-time linear systems

A. Bykova, P. S. Shcherbakovb

a UCHi.RU, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The subject of this paper is the analysis of sparse state feedback design procedures for linear discrete-time systems. By sparsity we mean the presence of zero rows in the gain matrix; this requirement is natural in the engineering practice when designing “economy” control systems which make use of a small amount of control inputs. Apart from the design of stabilizing sparse controllers, the linear-quadratic regulation problem is considered in the sparse formulation. Also, we consider a regularization scheme typical to the $\ell_1$-optimization theory. The efficiency of the approach is illustrated via numerical examples.

Keywords: linear discrete-time systems, sparse feedback, convex approximation, linear-quadratic regulation, regularization.

Funding Agency Grant Number
Russian Science Foundation 16-11-10015
This work was supported by the Russian Science Foundation, project no. 16-11-10015.


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English version:
Automation and Remote Control, 2018, 79:7, 1175–1190

Bibliographic databases:

Presented by the member of Editorial Board: М. В. Хлебников

Received: 22.06.2017

Citation: A. Bykov, P. S. Shcherbakov, “Sparse feedback design in discrete-time linear systems”, Avtomat. i Telemekh., 2018, no. 7, 3–21; Autom. Remote Control, 79:7 (2018), 1175–1190

Citation in format AMSBIB
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