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Controlling chaotic Chua's circuit based on piecewise quadratic Lyapunov functions method |
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| Authors: | Hongbin Zhang Chunguang Li Jian Zhang Xiaofeng Liao Juebang Yu |
| Institution: | Lab 570, Institute of Electronic Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China |
| Abstract: | In this paper, we present a linear feedback controller design method for controlling chaotic Chua's circuit based on piecewise quadratic Lyapunov functions. Firstly, we get the piecewise linear differential inclusions (pwLDIs) model of tracking error dynamics, then we design a linear state feedback controller to stabilize it based on the piecewise quadratic Laypunov functions. Finally, we give some numerical simulations to demonstrate the effectiveness of our theoretical results. |
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