Disturbance observer based active and adaptive synchronization of energy resource chaotic system

Wei Wei; Meng Wang; Donghai Li; Min Zuo; Xiaoyi Wang

doi:10.1016/j.isatra.2016.08.012

Disturbance observer based active and adaptive synchronization of energy resource chaotic system

ISA Trans. 2016 Nov:65:164-173. doi: 10.1016/j.isatra.2016.08.012. Epub 2016 Aug 31.

Authors

Wei Wei¹, Meng Wang², Donghai Li³, Min Zuo², Xiaoyi Wang²

Affiliations

¹ School of Computer and Information Engineering, Beijing Technology and Business University, Beijing, China. Electronic address: weiweizdh@126.com.
² School of Computer and Information Engineering, Beijing Technology and Business University, Beijing, China.
³ Department of Thermal Engineering, Tsinghua University, Beijing, China.

PMID: 27592081
DOI: 10.1016/j.isatra.2016.08.012

Abstract

In this paper, synchronization of a three-dimensional energy resource chaotic system is considered. For the sake of achieving the synchronization between the drive and response systems, two different nonlinear control approaches, i.e. active control with known parameters and adaptive control with unknown parameters, have been designed. In order to guarantee the transient performance, finite-time boundedness (FTB) and finite-time stability (FTS) are introduced in the design of active control and adaptive control, respectively. Simultaneously, in view of the existence of disturbances, a new disturbance observer is proposed to estimate the disturbance. The conditions of the asymptotic stability for the closed-loop system are obtained. Numerical simulations are provided to illustrate the proposed approaches.

Keywords: Active control; Adaptive control; Disturbance observer; Resource chaotic system; Synchronization.