Sliding mode control for chaotic systems based on LMI |
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Authors: | Hua Wang Zheng-zhi Han Qi-yue Xie Wei Zhang |
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Institution: | 1. Department of Electrical Engineering, University of Zanjan, Zanjan, Iran;2. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;1. Department of Electrical Engineering, University of Zanjan, Zanjan, Iran;2. Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia |
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Abstract: | This paper investigates the chaos control problem for a general class of chaotic systems. A feedback controller is established to guarantee asymptotical stability of the chaotic systems based on the sliding mode control theory. A new reaching law is introduced to solve the chattering problem that is produced by traditional sliding mode control. A dynamic compensator is designed to improve the performance of the closed-loop system in sliding mode, and its parameter is obtained from a linear matrix inequality (LMI). Simulation results for the well known Chua’s circuit and Lorenz chaotic system are provided to illustrate the effectiveness of the proposed scheme. |
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