Feedback stabilization of switched linear systems via a parametric approach

Li，Dong Bo1; Duan，Guang Ren1; Liu，Guo Ping2

2022

10.1049/cth2.12389

IET Control Theory and Applications   Impact Factor & Quartile

1751-8644

1751-8652

This paper solves two matrix equations problems completely which are originated from the problems of state feedback stabilization of first-order and second-order switched systems, respectively. Two parametric solutions are proposed for the both two problems. Comparison for the advantages and disadvantages between the two methods is presented from an unified point of view. It is disclosed that principle of each uncontrollable pole will lead to a linear relationship between the rows of solution matrix V. Examples show the proposed methods are convenient calculation.

controllability eigenvector assignment feedback stabilization Lie-algebras criterion matrix equations parametric solutions switched systems

SCI

English

Others

[62188101]

Automation & Control Systems ; Engineering ; Instruments & Instrumentation

Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation

WOS:000888461000001

WILEY

2-s2.0-85143433238

Scopus

1.Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,China
2.Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen,China

Li，Dong Bo,Duan，Guang Ren,Liu，Guo Ping. Feedback stabilization of switched linear systems via a parametric approach[J]. IET Control Theory and Applications,2022.

Li，Dong Bo,Duan，Guang Ren,&Liu，Guo Ping.(2022).Feedback stabilization of switched linear systems via a parametric approach.IET Control Theory and Applications.

Li，Dong Bo,et al."Feedback stabilization of switched linear systems via a parametric approach".IET Control Theory and Applications (2022).