NDLI: Singularity-conquering tracking control of a class of chaotic systems using Zhang-gradient dynamics

Content Provider	IET Digital Library
Author	Zhang, Yunong Xiao, Zhengli Guo, Dongsheng Mao, Mingzhi Yin, Yonghua
Abstract	This study investigates the tracking-control problems of the Lorenz, Chen and Lu chaotic systems. Note that the input–output linearisation method cannot solve these tracking-control problems because of the existence of singularities, at which such chaotic systems fail to have a well-defined relative degree. By combining Zhang dynamics and gradient dynamics, an effective controller-design method, termed Zhang-gradient (ZG) method, is proposed for tracking control of the three chaotic systems. This ZG method, with singularities conquered, is capable of solving the tracking-control problems of the chaotic systems. Both theoretical analyses and simulative verifications substantiate that the tracking controllers based on the ZG method can achieve satisfactory tracking accuracy and successfully conquer singularities encountered during the tracking-control process.
Starting Page	871
Ending Page	881
Page Count	11
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 6, Apr (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0931
Journal	IET Control Theory & Applications
Publisher Date	2015-03-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Chaos Chaotic System Control System Analysis Control System Synthesis Controller-design Method Gradient Method Linear Algebra Nonlinear Control System Numerical Analysis Relative Degree Simulative Verifications Singularity-conquering Tracking Control Process Synthesis Method Theoretical Analysis Tracking Accuracy ZG Method Zhang-gradient Dynamics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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