A frozen time receding horizon control for a linear continuous time-varying system

被引:0
作者
Oh, M-H [2 ]
Park, I-W [1 ]
机构
[1] Kwang Woon Univ, Dept Informat & Control Engn, Seoul 139701, South Korea
[2] Samsung Corning Precis Glass Co, Asan, ChungNam, South Korea
关键词
receding horizon control; frozen time approach; horizon size; stability; STABILITY; SIZE;
D O I
10.1177/2041304110394551
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this study a frozen time receding horizon control (RHC) for a linear continuous time-varying system and its stability conditions, which can be obtained easily, are proposed. As the frozen future states are considered in the frozen time RHC, its control law is obtained by the time-invariant Riccati equations solved by forward iteration, which differ from the conventional RHC. The stability of the proposed control law can be ensured by the conventional time-invariant stability condition of RHC with the additional conditions of design matrices, such as the matrix inequality condition and the horizon-based stability condition. Therefore, the proposed control law can be applied to real physical systems effectively, in comparison with the conventional time-varying RHC, and its performance is proved by numerical simulation.
引用
收藏
页码:641 / 646
页数:6
相关论文
共 9 条
[1]  
Freiling G, 1996, LINEAR ALGEBRA APPL, V243, P291
[2]  
Kim K. R., 2000, THESIS SEOUL NATL U
[3]   MODIFIED QUADRATIC COST PROBLEM AND FEEDBACK STABILIZATION OF A LINEAR-SYSTEM [J].
KWON, WH ;
PEARSON, AE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) :838-842
[4]  
NICOLAO GD, 1997, IEEE T AUTOMAT CONTR, V42, P257
[5]  
Oh MH, 2004, IEICE T FUND ELECTR, VE87A, P505
[6]  
Prestero T, 2001, Thesis
[7]   Stability-guaranteed horizon size for receding horizon control [J].
Quan, Zhonghua ;
Han, Soohee ;
Kwon, Wook Hyun .
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2007, E90A (02) :523-525
[8]  
ZHANG H, 2009, APPL INTELLIGENT CON, V39, P365
[9]  
ZHANG H, 2009, P IEEE S AD DYN PROG, P28