On constrained infinite-time linear quadratic optimal control

被引:212
作者
Chmielewski, D [1 ]
Manousiouthakis, V [1 ]
机构
[1] UNIV CALIF LOS ANGELES,DEPT CHEM ENGN,LOS ANGELES,CA 90024
基金
美国国家科学基金会;
关键词
constrained; quadratic optimal; infinite-time; real-time optimization; value function;
D O I
10.1016/S0167-6911(96)00057-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This work presents a solution to the infinite-time linear quadratic optimal control (ITLQOC) problem with state and control constraints. It is shown that a single, finite dimensional, convex program of known size can yield this solution. Properties of the resulting value function, with respect to initial conditions, are also established and are shown to be useful in determining the aforementioned problem size. An example illustrating the method is finally presented.
引用
收藏
页码:121 / 129
页数:9
相关论文
共 16 条
[1]  
[Anonymous], 1987, CONSTRAINED GLOBAL O
[2]  
Athans Michael., 1966, OPTIMAL CONTROL
[3]  
Fiacco A., 1983, Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
[4]   DIFFERENTIAL STABILITY IN NONLINEAR-PROGRAMMING [J].
GAUVIN, J ;
TOLLE, JW .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (02) :294-311
[5]   LINEAR-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS - THE THEORY AND APPLICATION OF MAXIMAL OUTPUT ADMISSIBLE-SETS [J].
GILBERT, EG ;
TAN, KT .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (09) :1008-1020
[6]   A NEW DESIGN OF CONSTRAINED CONTROLLERS FOR LINEAR-SYSTEMS [J].
GUTMAN, PO ;
HAGANDER, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (01) :22-33
[7]   AN ALGORITHM TO FIND MAXIMAL STATE CONSTRAINT SETS FOR DISCRETE-TIME LINEAR DYNAMIC-SYSTEMS WITH BOUNDED CONTROLS AND STATES [J].
GUTMAN, PO ;
CWIKEL, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (03) :251-253
[8]  
Kalman RE., 1960, BOL SOC MAT MEX, V5, P102
[9]   OPTIMAL INFINITE-HORIZON FEEDBACK LAWS FOR A GENERAL-CLASS OF CONSTRAINED DISCRETE-TIME-SYSTEMS - STABILITY AND MOVING-HORIZON APPROXIMATIONS [J].
KEERTHI, SS ;
GILBERT, EG .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 57 (02) :265-293
[10]  
Luenberger D. G., 2015, Linear and nonlinear programming, V4th