摘要
以随时间变化的二次函数为目标函数,对采用薛定谔方程的量子系统进行轨迹跟踪研究.根据Lyapunov稳定性定理,选择误差的平方作为Lyapunov函数设计控制律,实现系统从任意初始状态到目标函数的跟踪.在Matlab环境下对不同初始状态进行了系统仿真及性能对比研究,分析了系统初始值以及控制中观测量对跟踪性能的影响,验证了控制律在跟踪目标函数上的优越性.
A time-varying quadratic function is selected as a target function. The Schrodinger equation of quantum systems is used to study the trajectory tracking. A error square Lyapunov function is selected based on the Lyapunov stability theorem to design control laws, so that realize tracking the target function from any initial state. System simulation experiments and the performances comparisons are studied under the Matlab with different initial states, which analyze the effects of initial states and observation to the system tracking performance, and verify the superiority of the proposed control laws tracking the target function.
出处
《控制与决策》
EI
CSCD
北大核心
2015年第3期485-489,共5页
Control and Decision
基金
国家973计划项目(2011CBA00200)
