Stability analysis of linear time-delay systems subject to input saturation

Author

Cao, Yong-Yan ; Lin, Zongli ; Hu, Tingshu

Author_Institution

Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA

Volume

49

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

233

Lastpage

240

Abstract

This paper is devoted to stability analysis of linear systems with state delay and input saturation. The domain of attraction resulting from an a priori designed state feedback law is analyzed using Lyapunov-Razumikhin and Lyapunov-Krasovskii functional approach. Both delay-independent and delay-dependent estimation of the domain of attraction are presented using the linear matrix inequality technique. The problem of designing linear state feedback laws such that the domain of attraction is enlarged is formulated and solved as an optimization problem with LMI constraints. Numerical examples are used to demonstrate the effectiveness of the proposed design technique

Keywords

Lyapunov matrix equations; asymptotic stability; delay systems; linear systems; robust control; state feedback; Lyapunov-Krasovskii approach; Lyapunov-Razumikhin approach; actuator saturation; delay-dependent estimation; delay-independent estimation; domain of attraction; input saturation; linear matrix inequality; linear time-delay systems; optimization problem; stability analysis; state delay; state feedback law; uniform convergence; Actuators; Constraint optimization; Control system synthesis; Control systems; Delay estimation; Delay systems; Linear matrix inequalities; Linear systems; Stability analysis; State feedback;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.983870

Filename

983870