Stability for bilinear time-delay systems with saturating actuators

Author

Liu, Pin-Lin ; Hung, Ho-Lung

Author_Institution

Dept. of Electr. Eng., Chien-Kuo Inst. of Technol., Changhua, Taiwan

Volume

3

fYear

1999

fDate

1999

Firstpage

1082

Abstract

The stability of a bilinear system with stated delay and saturating actuator is discussed. Delay-dependent sufficient conditions for the uniform asymptotic stability of the closed-loop systems via a memoryless static state feedback controller is developed. The matrix measure and comparison theorem are employed to investigate the problem. The results obtained omit solving the Lyapunov function or Riccati equation and is less conservative than the delay-dependent criterion for the same example when delay is small. The authors´ result is demonstrated by an illustrate example

Keywords

actuators; asymptotic stability; bilinear systems; closed loop systems; control system analysis; control system synthesis; delays; state feedback; bilinear time-delay systems; closed-loop systems; comparison theorem; control design; control simulation; delay-dependent sufficient conditions; matrix measure; memoryless static state feedback controller; saturating actuators; stability analysis; uniform asymptotic stability; Actuators; Asymptotic stability; Control systems; Delay systems; Eigenvalues and eigenfunctions; Erbium; Nonlinear systems; Riccati equations; State feedback; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, 1999. ISIE '99. Proceedings of the IEEE International Symposium on

Conference_Location

Bled

Print_ISBN

0-7803-5662-4

Type

conf

DOI

10.1109/ISIE.1999.796785

Filename

796785