A RECEDING-HORIZON REGULATOR FOR NONLINEAR-SYSTEMS AND A NEURAL APPROXIMATION

被引:236
作者
PARISINI, T [1 ]
ZOPPOLI, R [1 ]
机构
[1] UNIV GENOA,DEPT COMMUN COMP & SYST SCI,DIST,I-16145 GENOA,ITALY
关键词
OPTIMAL CONTROL; NONLINEAR SYSTEMS; RECEDING HORIZON REGULATORS; STABILIZATION; NEURAL NETWORKS;
D O I
10.1016/0005-1098(95)00044-W
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A receding-horizon (RH) optimal control scheme for a discrete-time nonlinear dynamic system is presented. A nonquadratic cost function is considered, and constraints are imposed on both the state and control vectors. Two main contributions are reported. The first consists in deriving a stabilizing regulator by adding a proper terminal penalty function to the process cost. The control vector is generated by means of a feedback control law computed off line instead of computing it on line, as is done for existing RH regulators. The off-line computation is performed by approximating the RH regulator by means of a multilayer feedforward neural network (this is the second contribution of the paper). Bounds to this approximation are established. Simulation results show the effectiveness of the proposed approach.
引用
收藏
页码:1443 / 1451
页数:9
相关论文
共 18 条
[1]   UNIVERSAL APPROXIMATION BOUNDS FOR SUPERPOSITIONS OF A SIGMOIDAL FUNCTION [J].
BARRON, AR .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (03) :930-945
[2]  
CATTANEO A, 1994, PROCEEDINGS OF THE 1994 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P2144
[3]   ON RECEDING HORIZON FEEDBACK-CONTROL [J].
CHEN, CC ;
SHAW, L .
AUTOMATICA, 1982, 18 (03) :349-352
[4]  
GIROSI F, 1994, STATISTICS NEURAL NE
[5]   MULTILAYER FEEDFORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS [J].
HORNIK, K ;
STINCHCOMBE, M ;
WHITE, H .
NEURAL NETWORKS, 1989, 2 (05) :359-366
[6]   A SIMPLE LEMMA ON GREEDY APPROXIMATION IN HILBERT-SPACE AND CONVERGENCE-RATES FOR PROJECTION PURSUIT REGRESSION AND NEURAL NETWORK TRAINING [J].
JONES, LK .
ANNALS OF STATISTICS, 1992, 20 (01) :608-613
[7]   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
[8]  
KNOWN WH, 1983, INT J CONTROL, V37, P631
[9]  
KNOWN WH, 1978, IEEE T AUTOMAT CONTR, V23, P479
[10]   RECEDING HORIZON CONTROL OF NONLINEAR-SYSTEMS [J].
MAYNE, DQ ;
MICHALSKA, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :814-824