Eigenstructure assignment for stabilizable linear systems via state feedback

Biao Zhang; Guang Ren Duan

Eigenstructure assignment for stabilizable linear systems via state feedback

Biao Zhang^*
, Guang Ren Duan

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

In this paper, a direct and explicit parametric solution of the matrix equation AV + BW = VF is proposed. Here [A B] is not required to be controllable. When [A B] is controllable, the obtained solution becomes the result of theorem 2 in [1]. Based on the proposed solution of this matrix equation, a parametric approach for eigenstructure assignment in stabilizable linear systems via state feedback is established. The obtained result generalizes the approach proposed in [1] to the case with uncontrollable modes.

Original language	English
Pages	184-188
Number of pages	5
State	Published - 2002
Event	Proceedings of the 4th World Congress on Intelligent Control and Automation - Shanghai, China Duration: 10 Jun 2002 → 14 Jun 2002

Conference

Conference	Proceedings of the 4th World Congress on Intelligent Control and Automation
Country/Territory	China
City	Shanghai
Period	10/06/02 → 14/06/02

Keywords

Eigenstructure
Linear systems
Stabilizability
State feedback
Uncontrollable mode

Cite this

@conference{52803b6a9dc640859da8d79d363919ca,

title = "Eigenstructure assignment for stabilizable linear systems via state feedback",

abstract = "In this paper, a direct and explicit parametric solution of the matrix equation AV + BW = VF is proposed. Here [A B] is not required to be controllable. When [A B] is controllable, the obtained solution becomes the result of theorem 2 in [1]. Based on the proposed solution of this matrix equation, a parametric approach for eigenstructure assignment in stabilizable linear systems via state feedback is established. The obtained result generalizes the approach proposed in [1] to the case with uncontrollable modes.",

keywords = "Eigenstructure, Linear systems, Stabilizability, State feedback, Uncontrollable mode",

author = "Biao Zhang and Duan, \{Guang Ren\}",

year = "2002",

language = "英语",

pages = "184--188",

note = "Proceedings of the 4th World Congress on Intelligent Control and Automation ; Conference date: 10-06-2002 Through 14-06-2002",

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TY - CONF

T1 - Eigenstructure assignment for stabilizable linear systems via state feedback

AU - Zhang, Biao

AU - Duan, Guang Ren

PY - 2002

Y1 - 2002

N2 - In this paper, a direct and explicit parametric solution of the matrix equation AV + BW = VF is proposed. Here [A B] is not required to be controllable. When [A B] is controllable, the obtained solution becomes the result of theorem 2 in [1]. Based on the proposed solution of this matrix equation, a parametric approach for eigenstructure assignment in stabilizable linear systems via state feedback is established. The obtained result generalizes the approach proposed in [1] to the case with uncontrollable modes.

AB - In this paper, a direct and explicit parametric solution of the matrix equation AV + BW = VF is proposed. Here [A B] is not required to be controllable. When [A B] is controllable, the obtained solution becomes the result of theorem 2 in [1]. Based on the proposed solution of this matrix equation, a parametric approach for eigenstructure assignment in stabilizable linear systems via state feedback is established. The obtained result generalizes the approach proposed in [1] to the case with uncontrollable modes.

KW - Eigenstructure

KW - Linear systems

KW - Stabilizability

KW - State feedback

KW - Uncontrollable mode

UR - https://www.scopus.com/pages/publications/0036945839

M3 - 论文

AN - SCOPUS:0036945839

SP - 184

EP - 188

T2 - Proceedings of the 4th World Congress on Intelligent Control and Automation

Y2 - 10 June 2002 through 14 June 2002

ER -

Eigenstructure assignment for stabilizable linear systems via state feedback

Abstract

Conference

Keywords

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