Practical NMPC suboptimality estimates along trajectories

被引:20
作者
Gruene, L. [1 ]
Pannek, J. [1 ]
机构
[1] Univ Bayreuth, Math Inst, D-95440 Bayreuth, Germany
关键词
Model predictive control; Suboptimality estimates; Stability; RECEDING-HORIZON CONTROL; DISCRETE-TIME APPROXIMATIONS; MODEL-PREDICTIVE CONTROL; DATA NONLINEAR-SYSTEMS; STABILIZATION; OPTIMALITY; STABILITY; CONTROLLERS;
D O I
10.1016/j.sysconle.2008.10.012
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 paper we develop and illustrate methods for estimating the degree of suboptimality of receding horizon schemes with respect to infinite horizon optimal control. The proposed a posteriori and a priori methods yield estimates which are evaluated online along the computed closed-loop trajectories and only use numerical information which is readily available in the scheme. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:161 / 168
页数:8
相关论文
共 18 条
[1]  
[Anonymous], 2000, Progress in Systems and Control Theory
[2]   On optimality of nonlinear model predictive control [J].
Di Palma, Federico ;
Magni, Lalo .
SYSTEMS & CONTROL LETTERS, 2007, 56 (01) :58-61
[3]  
Freeman R. A., 1996, Robust Nonlinear Control Design
[4]   On the Infinite Horizon Performance of Receding Horizon Controllers [J].
Gruene, Lars ;
Rantzer, Anders .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (09) :2100-2111
[5]  
GRUNE L, 2008, P MTNS 2008 BLACKSB
[6]  
GRUNE L, LNCS, V4818, P52
[7]  
GRUNE L, 2007, ANAL DESIGN UN UNPUB
[8]   Stabilization of sampled-data nonlinear systems by receding horizon control via discrete-time approximations [J].
Gyurkovics, E ;
Elaiw, AM .
AUTOMATICA, 2004, 40 (12) :2017-2028
[9]   Receding horizon optimal control for infinite dimensional systems [J].
Ito, K ;
Kunisch, K .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2002, 8 :741-760
[10]   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