Exponential stabilization for linear systems with actuator saturation via intermittent control

Author

Yijing Wang ; Weiyan Li ; Wenlong Yang ; Zhiqiang Zuo ; Chen, Michael Z. Q.

Author_Institution

Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China

fYear

2013

fDate

25-27 May 2013

Firstpage

204

Lastpage

208

Abstract

The exponential stabilization problem of a class of linear systems with actuator saturation is addressed in this paper. In an approach different from the previous results where the continuous controllers are used all the time, here the periodically intermittent control is proposed to ensure the exponential stability of the closed-loop systems. An exponential stability criterion is suggested using the contractive invariant ellipsoid as an estimate of the domain of attraction. In addition, the exponential convergence rate is explicitly given. The feedback controller can also be designed by regarding the feedback gain as an additional variable. A numerical example is presented to illustrate the effectiveness of our theoretical analysis.

Keywords

actuators; asymptotic stability; closed loop systems; control nonlinearities; convergence; feedback; linear systems; actuator saturation; closed-loop systems; continuous controllers; contractive invariant ellipsoid; domain of attraction; exponential convergence rate; exponential stability criterion; exponential stabilization problem; feedback controller; feedback gain; linear systems; periodically intermittent control; Actuators; Control theory; Convergence; Linear systems; Optimization; Stability; Actuator Saturation; Domain of Attraction; Exponential Stability; Intermittent Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6560921

Filename

6560921