Unified approach for open-loop optimal control

被引:2
作者
Imura, Y. [1 ]
Naidu, D. S. [1 ]
机构
[1] Idaho State Univ, Coll Engn, Measurement & Control Engn Res Ctr, Pocatello, ID 83209 USA
关键词
unified approach; open-loop optimal control; delta approach; continuous-time systems; discrete-time systems;
D O I
10.1002/oca.788
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We develop a unified approach for the necessary conditions for optimization of open-loop control systems, starting from the basic principles of calculus of variations. The unified approach results are simultaneously applicable to both shift (q)-operator-based, discrete-time systems and the derivative (d/d iota)-operator-based, continuous-time systems. It is shown that the optimal condition results that are now obtained separately for continuous-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given. Copyright (C) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码:59 / 75
页数:17
相关论文
共 20 条
[1]  
Anderson B.D., 2007, Optimal control
[2]  
[Anonymous], CONTROL SYSTEM DESIG
[3]  
Elsgolts L., 1970, DIFFERENTIAL EQUATIO
[4]  
Ewing G.M., 1985, Calculus of Variations with Applications
[5]  
Feuer A., 1996, SAMPLING DIGITAL SIG
[6]  
IIMURA Y, 2004, P 1L INT FED AUT CON
[7]  
IMURA Y, 2003, UNIFIED APPROACH OPE
[8]  
KUO BC, 1980, DIGITAL CONTROL SYST
[9]  
Lewis FL., 1995, OPTIMAL CONTROL
[10]  
Middleton R. H., 1990, Digital Control and Estimation-A Unified Approach