TY - JOUR
T1 - Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control
AU - Yan, Jun Juh
AU - Chen, Chih Yung
AU - Tsai, Jason Sheng Hong
N1 - Funding Information:
The authors gratefully acknowledge the support of Ministry of Science and Technology of Taiwan through the grant MOST 104-2221-E-366-003 .
Publisher Copyright:
© 2016 Elsevier Ltd.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - In this paper, a new systematic design procedure to stabilize continuous unified chaotic systems based on discrete sliding mode control (DSMC) is presented. In contrast to the previous works, the concept of rippling control is newly introduced such that the design of DSMC can be simplified and only a single controller is needed to realize chaos suppression. As expected, under the proposed DSMC law, the unified system can be stabilized in a manner of ripple effect, even when the external uncertainty is present. Last, two examples are included to illustrate the effectiveness of the proposed rippling DSMC developed in this paper.
AB - In this paper, a new systematic design procedure to stabilize continuous unified chaotic systems based on discrete sliding mode control (DSMC) is presented. In contrast to the previous works, the concept of rippling control is newly introduced such that the design of DSMC can be simplified and only a single controller is needed to realize chaos suppression. As expected, under the proposed DSMC law, the unified system can be stabilized in a manner of ripple effect, even when the external uncertainty is present. Last, two examples are included to illustrate the effectiveness of the proposed rippling DSMC developed in this paper.
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U2 - 10.1016/j.nahs.2016.05.004
DO - 10.1016/j.nahs.2016.05.004
M3 - Article
AN - SCOPUS:84973863167
SN - 1751-570X
VL - 22
SP - 276
EP - 283
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
ER -