Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

Author

Amato, Francesco ; Ariola, Marco ; Cosentino, Carlo

Author_Institution

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

Volume

55

Issue

4

fYear

2010

fDate

4/1/2010 12:00:00 AM

Firstpage

1003

Lastpage

1008

Abstract

The note deals with the finite-time analysis and design problems for continuous-time, time-varying linear systems. Necessary and sufficient conditions and a sufficient condition for finite-time stability are devised. Moreover, sufficient conditions for the solvability of both the state and the output feedback problems are stated. Such results require the feasibility of optimization problems involving Differential Linear Matrix Inequalities. Some numerical examples illustrate the effectiveness of the proposed approach.

Keywords

computability; continuous time systems; control system analysis; control system synthesis; feedback; linear matrix inequalities; linear systems; optimisation; stability; time-varying systems; continuous-time systems; controller design; differential linear matrix inequality; finite-time analysis; finite-time stability; linear time-varying systems; necessary and sufficient conditions; optimization problems; output feedback; solvability; state feedback; time-varying linear systems; Adaptive control; Asymptotic stability; Automatic control; Control system analysis; Control systems; Differential equations; Helium; Linear matrix inequalities; Linear systems; Output feedback; Postal services; Programmable control; Stability analysis; Sufficient conditions; Time varying systems; Dynamic output feedback; finite-time stability; linear time-varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2041680

Filename

5404809