摘要
研究在外界持续干扰的动态特征已知的情况下,线性离散时滞系统的前馈-反馈最优控制问题。给出了前馈-反馈最优控制存在的唯一性条件,提出了前馈-反馈最优控制律的逐次逼近算法;通过截取最优控制序列解的有限项,得到系统的前馈-反馈次优控制律,并利用扰动观测器解决了其物理可实现问题。该算法容易实现,计算工作量小,且对外部持续扰动有良好的鲁棒性。仿真结果说明了算法的有效性。
The feedforward and feedback optimal control for linear discrete time-delay systems with external deterministic disturbances is considered. First, the existence and uniqueness of a feedforward and feedback optimal regulator are obtained. Then a design scheme based on a successive approximation approach is presented. By intercepting a finite term in the optimal sequence, a suboptimal control law is obtained. A disturbance observer is introduced to realize the suboptimal regulator easily. The simulation results show that the algorithm is efficient, and the system is more robust with respect to external persistent disturbances.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第6期1008-1012,共5页
Periodical of Ocean University of China
基金
国家自然科学基金项目(60574023)
山东省自然科学重点基金项目(Z2005G01)
青岛市自然科学基金项目(05-1-JC-94)资助
关键词
离散系统
时滞系统
最优控制
逐次逼近法
观测器
discrete systems
time-delay systems
optimal control
successive approximation approach
observer
