Input-output finite-time stabilisation of linear systems with input constraints

Author

Amato, Flora ; Carannante, Giuseppe ; De Tommasi, G. ; Pironti, A.

Author_Institution

Sch. of Comput. & Biomed. Eng., Univ. degli Studi Magna Graecia di Catanzaro, Catanzaro, Italy

Volume

8

Issue

14

fYear

2014

fDate

September 18 2014

Firstpage

1429

Lastpage

1438

Abstract

In this study, the problem of input-output finite-time stabilisation of linear time-varying systems is dealt with. The classical definition of input-output finite-time stability (IO-FTS) is extended to that one of structured IO-FTS, which allows to incorporate, in the definition of the stabilisation problem, some amplitude constraints on the control input variables. A sufficient condition and a necessary and sufficient condition for structured IO finite-time stabilisation are provided in the case of L_∞ and L₂ inputs, respectively. Such conditions require the existence of a solution to a certain differential linear matrix inequality. The theory is applied to design the active suspension control system for a two-degree-of-freedom quarter-car model.

Keywords

H^∞ control; differential equations; input-output stability; linear matrix inequalities; linear systems; time-varying systems; vibration control; L_∞ inputs; L₂ inputs; active suspension control system; amplitude constraints; differential linear matrix inequality; input constraints; input-output finite-time stabilisation problems; linear time-varying systems; necessary and sufficient condition; structured IO finite-time stabilisation; structured IO-FTS; two-degree-of-freedom quarter-car model;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2014.0160

Filename

6892186