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In this paper, we propose adaptive control schemes for the universal function projective synchronization of delayed Chen system and delayed Lorenz system with unknown parameters. We first consider the situation where a vector is used as the reference system. Adaptation control scheme is used for the unknown parameters. Then, we consider the situation where an uncertain Liu system is used as the reference system. We add switching control terms in the control laws for external disturbances. To alleviate the chattering, fuzzy systems are used in the controllers. Simulation results demonstrate the effectiveness of the proposed methods.

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Universal Function Projective Synchronization of Delayed Chen System and Delayed Lorenz System With Unknown Parameters by Using Adaptive Control Method

  • 会议论文

  • 发表日期：

    2026年

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  • Baojie Zhang,
  • Liuying Cha,
  • Zhiyuan Zhu,
  • Changchao Liu

摘要

In this paper, we propose adaptive control schemes for the universal function projective synchronization of delayed Chen system and delayed Lorenz system with unknown parameters. We first consider the situation where a vector is used as the reference system. Adaptation control scheme is used for the unknown parameters. Then, we consider the situation where an uncertain Liu system is used as the reference system. We add switching control terms in the control laws for external disturbances. To alleviate the chattering, fuzzy systems are used in the controllers. Simulation results demonstrate the effectiveness of the proposed methods.