不确定临界混沌系统的有限时间同步与参数识别  

Finite-time Synchronization and Parameters Identification of a Uncertain Critical Chaotic System

作　　者：涂俐兰[1] 王宇娟 胡洋[1] TU Li-lan;WANG Yu-juan;HU Yang(Hubei Province Key Laboratory of Systems Science in Metallurgical Process,Wuhan University of Science and Technology,Wuhan 430065,China)

机构地区：[1]武汉科技大学冶金工业过程系统科学湖北省重点实验室

出　　处：《数学的实践与认识》2018年第19期105-112,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61473338,61473213)

摘　　要：针对不确定临界混沌系统，研究了它的有限时间同步和参数识别．基于有限时间李雅谱诺夫稳定性理论以及自适应控制技术，通过分步骤，设置合适的控制器，分别使得在参数具有扰动和参数完全未知的情况下，不确定的驱动系统和响应系统达到有限时间同步；同时，对参数未知的驱动系统，利用有限时间同步识别出未知参数．最后的数值模拟验证了所提出的方法的正确性和有效性．In this paper, the finite-time synchronization and parameters identification of a uncertain critical chaotic system is investigated. Based on finite-time Lyapunov stability theory and adaptive method, several steps setting up three controllers in turn are established to guarantee the finite-time asymptotical synchronization of the drive system and the response system with disturbance and unknown parameters separately. At the same time, the unknown parameters of the drive system are identified with the finite-time asymptotical synchronization. Finally, numerical simulations show the correctness and effectiveness of the theoretical results.

关 键 词：不确定临界混沌系统 李雅谱诺夫稳定性理论 有限时间同步 参数识别 自适应控制 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]