Delay-dependent Stabilization of Singular Linear Continuous-time Systems with Time-varying State and Input Delays

Author

Jiang, Zhaohui ; Gui, Weihua ; Xie, Yongfang ; Wu, Hongjun

Author_Institution

Central South Univ., Changsha

fYear

2007

fDate

May 30 2007-June 1 2007

Firstpage

1862

Lastpage

1867

Abstract

The descriptor integral-inequality method is a new method to deal with the delay-dependent stabilization problem for singular linear continuous-time systems with time-varying state and input delays. Delay dependent stabilization conditions are established by using the Lyapunov-Krasovskii functional approach combined with an descriptor integral-inequality. An LMI based algorithm to design a memoryless state feedback control that stabilizes the system is provided. Finally, a numerical example is presented to illustrate the effectiveness and the availability for the design.

Keywords

Lyapunov methods; continuous time systems; delays; linear matrix inequalities; stability; state feedback; time-varying systems; LMI based algorithm; Lyapunov-Krasovskii functional approach; delay-dependent stabilization; descriptor integral-inequality method; input delays; memoryless state feedback control; singular linear continuous-time systems; time-varying state; Control system synthesis; Control systems; Delay effects; Delay systems; Linear systems; Mathematical model; Metals industry; Stability; Sufficient conditions; Time varying systems; delay-dependent stabilization; descriptor integral inequality; singular systems; state and input delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2007. ICCA 2007. IEEE International Conference on

Conference_Location

Guangzhou

Print_ISBN

978-1-4244-0818-4

Electronic_ISBN

978-1-4244-0818-4

Type

conf

DOI

10.1109/ICCA.2007.4376685

Filename

4376685