Stabilizing model predictive control of hybrid systems with discrete dynamics

Author

Kobayashi, Koichi ; Imura, Jun-ichi ; Hiraishi, Kunihiko

Author_Institution

Japan Adv. Inst. of Sci. & Technol., Ishikawa, Japan

fYear

2009

fDate

18-21 Aug. 2009

Firstpage

4831

Lastpage

4836

Abstract

This paper discusses the stabilization problem of hybrid systems using control Lyapunov functions (CLFs). A CLF approach is one of the powerful methods in the stabilization of nonlinear systems. However, there are a few results for the stabilization of hybrid systems. In this paper, to develop stability theory of hybrid systems with discrete dynamics, a construction method of a CLF is proposed. Furthermore, based on the obtained CLF, a stabilizing model predictive control algorithm is also proposed. Finally, the effectiveness of the proposed method is shown by a numerical example.

Keywords

Lyapunov methods; discrete systems; nonlinear control systems; predictive control; stability; Lyapunov function; discrete dynamic; hybrid system; nonlinear system; predictive control; stabilization problem; Automata; Control systems; Doped fiber amplifiers; Electronic mail; Equations; Lyapunov method; Nonlinear systems; Predictive control; Predictive models; Stability; Control Lyapunov functions; Discrete dynamics; Hybrid Systems; Model predictive control;

fLanguage

English

Publisher

ieee

Conference_Titel

ICCAS-SICE, 2009

Conference_Location

Fukuoka

Print_ISBN

978-4-907764-34-0

Electronic_ISBN

978-4-907764-33-3

Type

conf

Filename

5334378