摘要
针对在外部持续扰动下的线性时滞系统,提出了一种最优跟踪控制的逐次逼近算法。首先将状态向量含有时滞的线性系统的最优跟踪问题转化为最优调节问题,然后利用逐次逼近算法,将既含有时滞项又含有超前项的两点边值问题转化为不含时滞项和超前项的线性两点边值问题族得到调节系统的最优控制律,然后可以通过截取最优控制序列的有限项得到调节系统的前馈-反馈次优控制律,最后再将最优控制问题转化为最优跟踪问题。
For time-delay systems with persistent disturbances, a successive approximation algorithm of optimal tracking control was proposed. First, the optimal tracking control problem of linear systems with state time-delay was transformed into the optimal control problem. Second, the linear two-point boundary value （IPBV） problem with both time-delay terms and time-advance terms was transformed to a sequence of nonhomogeneous linear TPBV problems without time-delay terms and time-advance terms with the successive approximation algorithm. A optimal control law was obtained. And then, by taking the finite-times iteration of the compensating sequence, a suboptimal control law was obtained. Lastly, the optimal control law was transformed into the optimal tracking control law.
出处
《系统仿真学报》
EI
CAS
CSCD
北大核心
2006年第5期1275-1277,1282,共4页
Journal of System Simulation
关键词
最优跟踪控制
最优控制
时滞系统
逐次逼近法
持续扰动
optimal tracking control
optimal control
time-delay systems
successive approximation approach
persistent disturbances
