%0 Journal Article
%T Multi-objective Control Problem of Bilinear Systems<br>双线性系统多目标控制问题研究
%A QIAN Fu-Cai
%A GAO Zhen-Bin
%A LIU Ding
%A <br>钱富才
%A 高振斌
%A 刘丁
%J 自动化学报
%D 2007
%I 
%X The control problem of bilinear systems with multiple objectives is studied.First,the multi-objective control problem is converted into a single objective optimal control problem using the utility function technology.The utility function is a nonlinear function of multiple quadratic performance indices,and therefore it is non-separable in the sense of dynamic programming.Then,to overcome this difficulty,a two-level optimal control algorithm is proposed.At the lower level,the formulated auxiliary Lagrangian problem is of a parametric bilinear-quadratic structure and it is solved by dynamic programming.Finally,the weighting vector in the auxiliary Lagrangian problem is adjusted by the upper level iteratively.This two-level process repeats until an optimal condition is satisfied.
%K Optimal control
%K bilinear system
%K multi-level optimization
%K dynamic programming<br>最优控制
%K 双线性系统
%K 多级优化
%K 动态规划
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=8441F0B9223A94F6&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=5D311CA918CA9A03&sid=BCCCE1B88B87184D&eid=0075485171F295AA&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=10