Synchronization stability of a distributed hysteresis controlled system

Author

Liang Chen ; De-hong Lian ; Ting Wang

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China

fYear

2012

fDate

18-20 July 2012

Firstpage

1616

Lastpage

1620

Abstract

The self-oscillatory system with hysteresis has been widely studied. However, most research deal with one hysteresis element in the system, seldom discuss the multi-hysteresis controllers, not to mention interactions between them. In the paper, we take a simple model with two coupled hysteresis controlled integrators as an example to study a synchronous phenomenon, that is similar to that happened in the large-scale distributed hysteresis controlled system, e.g. the supermarket refrigeration system. In the paper, synchronization is interpreted as a limit cycle in a state space created by switching among piecewise-affine dynamical system. Stability of the resultant limit cycle is examined by a Poincar´e map. We show that the synchronization takes place if the corresponding Poincar´e map is stable.

Keywords

Poincare mapping; distributed control; hysteresis; large-scale systems; limit cycles; piecewise constant techniques; stability; state-space methods; synchronisation; time-varying systems; Poincare map; hysteresis controlled integrator; hysteresis element; large-scale distributed hysteresis controlled system; limit cycle; multihysteresis controller; piecewise-affine dynamical system; self-oscillatory system; state space; supermarket refrigeration system; switching; synchronization stability; synchronous phenomenon; Hysteresis; Limit-cycles; Magnetic hysteresis; Switches; Synchronization; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4577-2118-2

Type

conf

DOI

10.1109/ICIEA.2012.6360984

Filename

6360984