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Avtomatika i Telemekhanika, 2018, Issue 7, Pages 3–21
(Mi at15106)
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This article is cited in 5 scientific papers (total in 5 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/at15106 https://www.mathnet.ru/eng/at/y2018/i7/p3
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Statistics & downloads: |
Abstract page: | 310 | Full-text PDF : | 91 | References: | 46 | First page: | 16 |
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