Linear system finite-time stabilization under H∞ constraint

Author

Yang Guo ; Jian Guo ; Peng Zhang ; Yu Yao

Author_Institution

Control & Simulation Center, Harbin Inst. of Technol., Harbin, China

fYear

2011

fDate

8-11 May 2011

Abstract

In this paper, we propose a finite-time stability method with the consideration of H_∞ constraint with transients. A finite-time stability controller is designed which guarantees the H_∞ performance with transients of the closed-loop system is under a boundary. The solution is derived via Linear Matrix Inequalities (LMIs) and Differential Riccati Inequalities (DRIs). We present a numerical example which maintains the disturbance suppression with the state constraint. The simulation result shows the validity of the proposed method.

Keywords

H^∞ control; Riccati equations; closed loop systems; control system synthesis; differential equations; linear matrix inequalities; linear systems; stability; H∞ constraint; closed-loop system; differential Riccati inequalities; finite-time stability controller design; linear matrix inequalities; linear system finite-time stabilization; state constraint; Numerical stability; Stability criteria; Sufficient conditions; Symmetric matrices; Time varying systems; Transient analysis; DRI; Finite-time stabilization; H∞ Control; LMI;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering (CCECE), 2011 24th Canadian Conference on

Conference_Location

Niagara Falls, ON

ISSN

0840-7789

Print_ISBN

978-1-4244-9788-1

Electronic_ISBN

0840-7789

Type

conf

DOI

10.1109/CCECE.2011.6030466

Filename

6030466