Control Strategy Based on Discrete-Time Lyapunov Theory for DC-DC Converters

Author

Xiao, Wenxun ; Zhang, Bo ; Qiu, Dongyuan

Author_Institution

South China Univ. of Technol., Guangzhou

fYear

2007

fDate

5-8 Nov. 2007

Firstpage

1501

Lastpage

1505

Abstract

This paper presents switched linear systems (SLS) model for DC-DC converters, and investigates the limit cycle existence and stability problems of SLS. By utilizing multiple-Lyapunov function, the sufficient condition of exponential stability and convergent rate in the form of linear matrix inequalities (LMIs) for SLS are developed. Combining limit cycle existence and LMIs formulation, the switching laws are designed such that the closed-loop system can be operated stably. At last, the design method for the control strategy of SLS in DC-DC converters is considered. The simulation results validate the effectiveness of the design method. The results in this paper offer a theory basis for the application of the SLS control theory on DC-DC converters.

Keywords

DC-DC power convertors; Lyapunov methods; asymptotic stability; closed loop systems; discrete time systems; linear matrix inequalities; time-varying systems; DC-DC converters; closed-loop system; control strategy; discrete-time Lyapunov theory; exponential stability; linear matrix inequalities; multiple Lyapunov function; stability problems; switched linear systems; Control theory; DC-DC power converters; Design methodology; Laser sintering; Limit-cycles; Linear matrix inequalities; Linear systems; Stability; Sufficient conditions; Switching converters;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 2007. IECON 2007. 33rd Annual Conference of the IEEE

Conference_Location

Taipei

ISSN

1553-572X

Print_ISBN

1-4244-0783-4

Type

conf

DOI

10.1109/IECON.2007.4460349

Filename

4460349