Properties of the Parametric Lyapunov Equation-Based Low-Gain Design With Applications in Stabilization of Time-Delay Systems

Author

Bin Zhou ; Lin, Zongli ; Duan, Guang-Ren

Author_Institution

Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China

Volume

54

Issue

7

fYear

2009

fDate

7/1/2009 12:00:00 AM

Firstpage

1698

Lastpage

1704

Abstract

This technical note studies some properties of the recently developed parametric Lyapunov equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.

Keywords

Lyapunov methods; control system synthesis; delay systems; feedback; stability; gain feedback design method; input delay; linear systems; low-gain design; parametric Lyapunov equation; semiglobal stabilization problem; time-delay systems stabilization; Control systems; Delay estimation; Delay systems; Design methodology; Feedback; Hydraulic actuators; Linear systems; Lyapunov method; Nonlinear control systems; Output feedback; Riccati equations; Actuator saturation; delayed input; global stabilization; low-gain design; parametric Lyapunov equation; semi-global stabilization; time-varying delay;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2020644

Filename

5152979