A logical network approximation to optimal control on a continuous domain and its application to HEV control  

作　　者：Yuhu WU Jiangyan ZHANG Tielong SHEN 

机构地区：[1]School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China [2]College of Mechanical and Electronic Engineering,Dalian Minzu University,Dalian 116600,China [3]Department of Engineering and Applied Sciences,Sophia University,Tokyo102-8554,Japan

出　　处：《Science China(Information Sciences)》2022年第11期174-191,共18页中国科学（信息科学）（英文版）

基　　金：supported in part by National Natural Science Foundation of China(Grant Nos.62173062,61973053,61773090);。

摘　　要：The finite-time horizon optimal control problem is investigated for discrete-time dynamical systems defined on a continuous domain.First,the original optimal control problem in the continuous domain is approximated as one on a finite-valued domain based on a special quantification process.Under suitable assumptions,convergence analysis of the approximate optimal cost of the quantified system to the optimal cost of the original system was established with error estimation.Thereafter,the approximate problem is solved using a logical network-based method that is proposed based on the semi-tensor product of the matrix.Finally,the proposed scheme is applied to deal with the optimal control problem of a hybrid electric vehicle(HEV)powertrain system,and its effectiveness is shown by a series of simulation results.

关 键 词：finite horizon optimal control logical networks semi-tensor product quantification HEV control 

分 类 号：O232[理学—运筹学与控制论]