离散时滞双线性系统的近似最优控制  

Suboptimal Control for Bilinear Discrete Systems with Time Delay

作　　者：马慧[1] 唐功友[1] 马磊[2] 

机构地区：[1]中国海洋大学信息科学与工程学院,山东青岛266100 [2]中国海洋大学食品科学与工程学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2007年第5期851-856,共6页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(60074001)资助

摘　　要：研究具有二次型性能指标的离散时滞双线性系统最优控制问题。对既带有时间超前项又带有时间滞后项的非线性两点边值(TPBV)问题,通过逐次逼近算法(SAA)构造不含超前滞后项的线性非齐次TPBV问题迭代序列。最优控制律由精确的线性反馈项和非线性时滞补偿序列的极限项组成。取补偿项序列的有限次迭代值,获得次优控制律。通过仿真,验证算法的有效性。The paper studies the quadratic optimal control problem of discrete time delay bilinear systems. By using a successive approximation approach （SAA）, the nonlinear two point boundary value （TPBV） problem with time-advance and time-delay terms is transformed into a linear inhomogeneous TPBVproblem iteration sequence without advance and delay terms. The optimal control law consists of an accurate linear feedback term and a nonlinear delay compensation term that is the limit of an adjoint vector sequence. By taking a finite-time iteration of the compensation sequence, a suboptimal control law is obtained. The validity of the presented approach is demonstrated by simulation example.

关 键 词：离散 时滞 双线性系统 最优控制 逐次逼近法(SAA) 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]