全文下载：2013050520
王敏， 高德欣*
（青岛科技大学 自动化与电子工程学院，山东 青岛 266042）
摘要： 研究了双线性离散系统的多目标最优控制问题，给出了一种基于受扰动系统的两级最优控制算法。两级算法的下级用动态规划求解具有双线性二次型结构的辅助Lagrangian问题，上级通过迭代调整辅助Lagrangian问题中的参数向量，不断重复这个过程，直至从非劣解集中挑出最优解。最后，仿真实例证明了该算法的有效性。
关键词：双线性系统； 多目标； 最优控制； 扰动
中图分类号： TP 273文献标志码: A
Multi-objective Optimal Control for Discrete Bilinear System with Disturbances
WANG Min, GAO De-xin
(CollegeofAutomationand Electronic Engineering,QingdaoUniversityof Science
and Technology,Qingdao266042,China)
Abstract: The multi-objective control problems for discrete bilinear system are studied and a two-level optimal control algorithm based on disturbances system is proposed. In the lower order algorithm , the auxiliary Lagrangian problem of bilinear-two quadratic form structure is solved by dynamic programming. The weighting vector in the auxiliary Lagrangian problem is adjusted by the upper level iterative. The process is repeated continuously until the optimal solution is selected from the set of non-inferior solutions. The simulation results show the effectiveness of the method.
Key words: bilinear system; multi-objective; optimal control; disturbance
收稿日期：2012-06-27
作者简介： 王敏（1987—），女，硕士研究生.*通信联系人.
