不同目标函数的量子系统动态跟踪  

DYNAMICAL TRAJECTORY TRACKING OF QUANTUM SYSTEMS WITH DIFFERENT TARGET FUNCTIONS

作　　者：丛爽[1] 朱亚萍[1] 刘建秀[1] 

机构地区：[1]中国科学技术大学自动化系,合肥230027

出　　处：《系统科学与数学》2012年第6期719-730,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61074050);国家博士点基金(20103402110044)资助

摘　　要：针对不同的随时间变化的目标函数,对所给定的封闭量子系统,利用李雅普诺夫稳定性定理进行控制律的设计.对于系统跟踪过程中控制量过大的问题,通过采用自适应算法来加以解决.分别针对不同的目标函数进行了系统仿真实验.在所设计的控制律的作用下,能够使控制系统的输出从任意初态动态跟踪目标系统的状态.仿真实验验证了所提出的控制策略具有根据系统响应过程中出现的控制值过大的情况自适应地调整控制律、对动态目标系统实时跟踪的能力,同时对不同的目标函数具有通用的特性.For different time variant target functions, control laws of closed quantum systems are designed by means of the Lyapunov stability theorem. The problems of excessive control fields during the period of tracking are solved through the use of the adaptive algorithm. System simulation experiments are implemented for different target functions. Under the action of control law, the control system can track from its arbitrary initial state to the target system. The experimental results show that the control strategy proposed has the ability to adjust the control law adaptively and real-time track dynamic target systems during the period of tracking, and that the control strategy proposed has common characteristics for different target functions.

关 键 词：封闭量子系统 李雅普诺夫控制方法 自适应算法 轨迹跟踪 奇异性. 

分 类 号：O413[理学—理论物理]