An LMI method for stabilization for linear systems on finite time horizon

Author

Yanjun, Shen

Author_Institution

Inst. of Nonlinear Complex Syst., China Three Gorges Univ., Yichang

fYear

2008

fDate

16-18 July 2008

Firstpage

616

Lastpage

620

Abstract

In practise one is not only interested in system stability but also in bounds of system trajectories. In such cases, finite-time stability plays an important role. In this note, finite-time stabilization of linear systems with disturbances generated by an exosystem is considered. First, sufficient conditions for finite-time stability is presented. Then, finite-time stabilization for linear systems via both state feedback and output feedback are both considered. The sufficient conditions for the existence of such controllers can be reduced to LMI feasible problem. Numerical examples show the effectiveness of the proposed method.

Keywords

linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; exosystem; finite time horizon; finite-time stability; linear matrix inequalities method; linear systems stabilization; output feedback; state feedback; system trajectories; time-varying exogenous disturbances; Control systems; Linear systems; Nonlinear control systems; Output feedback; Robust control; Robust stability; Stability criteria; State feedback; Sufficient conditions; Time varying systems; Finite time stability; LMI; Linear singular systems; Time-varying exogenous disturbances;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4604905

Filename

4604905