脉冲控制场下量子系统时变目标函数的有限时间跟踪控制
Finite-Time Time-Varying Target Function Tracking Control of Quantum Systems with Impulsive Control Fields
DOI: 10.12677/AAM.2022.1112937, PDF,    科研立项经费支持
作者: 钱学明：无锡科技职业学院物联网技术学院，江苏 无锡
关键词: 量子系统；Schr?dinger方程；目标函数跟踪；有限时间控制；脉冲控制；Quantum Systems； Schr?dinger Equation； Target Function Tracking； Finite-Time Control； Impulsive Control
摘要: 研究一类脉冲控制场作用下封闭量子系统的有限时间跟踪问题。其目的是使量子系统的状态进入有界时变目标函数的轨迹。根据Lyapunov稳定性定理，设计改进的脉冲跟踪控制律，使得误差动态系统在有限时间内收敛到0。而有限时间跟踪意味着最优的收敛时间和更好的抗干扰能力。数值仿真验证了控制律在系统轨迹跟踪上的优越性。
Abstract: In this paper, a class of finite-time tracking issues for closed quantum systems under the action of impulsive control fields is addressed. The objective is to steer the state of quantum system into the trajectory of bounded time-variant target function. By using the Lyapunov stability theorem, modi-fied impulse tracking controllers are designed such that the error dynamical system convergence to zero in a finite time. While finite-time tracking means the optimality in convergence time and has better disturbance rejection. Numerical simulations are given to illustrate the effects of system’s trajectory tracking, and also given to demonstrate the superiority of the control laws which are proposed.
文章引用：钱学明. 脉冲控制场下量子系统时变目标函数的有限时间跟踪控制[J]. 应用数学进展, 2022, 11(12): 8892-8900. https://doi.org/10.12677/AAM.2022.1112937

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