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整数阶及分数阶超混沌系统的有限时间同步控制

Finite time synchronization control for integer-andfractional-order hyperchaotic systems
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摘要 基于有限时间控制理论及分数阶微积分定理,研究了统一控制器下整数阶及分数阶四维超混沌系统的有限时间同步控制.提出用矩阵配置法设计一个新的统一控制器,理论证明了该控制器的正确性,在有限时间内使整数阶及分数阶超混沌系统达到稳定同步.算例仿真结果验证了该控制器的有效性,使得整数阶及分数阶误差系统在3 s内趋近于零,实现了系统有限时间内的稳定同步;该控制器对分数阶系统的控制效果优于整数阶系统,且阶次越小系统达到稳定同步所需时间越短;与完全同步相比有限时间同步能在更短时间内达到稳定同步,具有良好的鲁棒性. The finite-time synchronization control of integer-order and fractional-order four-dimensional hyperchaotic systems with unified controller is studied.Based on the finite time control theory and the fractional calculus theorem,a new unified controller is designed by using the matrix configuration method,and the correctness of the controller is proved theoretically,which can achieve stable synchronization of the integer order and fractional order hyperchaotic systems in finite time.The simulation results of an example verify the effectiveness of the proposed controller,which makes the integer and fractional error systems approach zero in 3 s and realizes the stable synchronization of the system in finite time.The controller has better control effect on fractional order system than on integer order system,and the smaller the order system,the shorter the time to achieve stable synchronization.Compared with full synchronization,finite time synchronization can achieve stable synchronization in a shorter time and has good robustness.
作者 王春娥 崔岩 王申鹏 赵少卿 WANG Chun′e;CUI Yan;WANG Shenpeng;ZHAO Shaoqing(School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)
出处 《江苏科技大学学报(自然科学版)》 CAS 北大核心 2023年第1期109-113,共5页 Journal of Jiangsu University of Science and Technology:Natural Science Edition
基金 国家自然科学基金青年科学基金项目(11604205)。
关键词 分数阶 超混沌系统 统一控制器 有限时间同步 fractional order hyperchaotic system unified controller finite time synchronization
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