Simultaneous stabilization: Construction of a universal stabilizer for linear plants with delay with the use of spectral reducibility

被引：0

作者：

S. I. Minyaev

A. S. Fursov

机构：

[1] Russian Academy of Sciences,Institute for Systems Analysis

[2] Moscow State University,undefined

来源：

Differential Equations | 2012年 / 48卷

关键词：

Internal Stability; Simultaneous Stabilization; Linear Plant; Internal Contour; Discrete Controller;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the problem of the construction of a common stabilizing controller for a family of k linear stationary nth-order plants with commensurable delays in the controls and the state variables. Our approach to stabilization is based on the construction of a common two-loop stabilizer. The controller of the first (internal) loop solves the problem of reducing each plant of the family to a finite spectrum, and the controller of the second (external) contour solves the stabilization problem.

引用

页码：1510 / 1516

页数：6

共 14 条

[1]

Fursov A.S.(2010)Comparative Analysis of Various Statements of the Stabilization Problem for Linear Plants Differ. Uravn. 46 1212-1213

[2]

Fursov A.S.(2010)Methods of Simultaneous Stabilization: Existence Conditions and Construction Algorithms for a Universal Controller of a Family of Dynamic Plants Differ. Uravn. 46 1213-1215

[3]

Korovin S.K.(2009)Approach to the Simultaneous Stabilization of Linear Plants by a Controller with a Given Structure Differ. Uravn. 45 597-608

[4]

Kudritskii A.V.(2009)On the Simultaneous Differ. Uravn. 45 698-705

[5]

Fursov A.S.(2011)-Stabilization of Linear Plants Differ. Uravn. 47 1592-1598

[6]

Korovin S.K.(1979)An Approach to the Simultaneous Stabilization of Linear Dynamic Plants with Delay IEEE Trans. Automat. Control AC-24 541-553

[7]

Kudritskii A.V.(2011)Finite Spectrum Assignment Problem for Systems with Time Delays Differ. Uravn. 47 1621-1637

[8]

Fursov A.S.(undefined)Spectral Reducibility of Differential Systems with Delay Using a Dynamic Controller undefined undefined undefined-undefined

[9]

Korovin S.K.(undefined)undefined undefined undefined undefined-undefined

[10]

Minyaev S.I.(undefined)undefined undefined undefined undefined-undefined

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