ON THE SOLUTION OF THE CONSTRAINED MULTIOBJECTIVE CONTROL PROBLEM WITH THE RECEDING HORIZON APPROACH

被引:0
作者
De Vito, Daniele [1 ]
Scattolini, Riccardo [1 ]
机构
[1] Dipartimento Elettr & Informaz, I-20133 Milan, Italy
关键词
multiobjective optimization; receding horizon control; robust control; stability;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem of simultaneously minimizing a set of H. cost functions for a class of systems subject to bounded disturbances and/or parameter uncertainties. Numeric examples are reported to highlight the stabilizing action of the proposed control laws.
引用
收藏
页码:649 / 663
页数:15
相关论文
共 11 条
[1]  
Allgower F., 1999, Advances in Control. Highlights of ECC'99, P391
[2]   SELF-TUNING REGULATORS FOR A CLASS OF MULTIVARIABLE SYSTEMS [J].
BORISON, U .
AUTOMATICA, 1979, 15 (02) :209-215
[3]  
DENICOLAO G, 2000, NONLINEAR MODEL PRED
[4]  
DUAN L, 1990, IEEE T AUTOMAT CONTR, V35, P59
[6]  
Lazar M, 2007, LECT NOTES CONTR INF, V358, P93
[7]  
Maciejowski J.M., 2001, PREDICTIVE CONTROL C
[8]   Regional input-to-state stability for nonlinear model predictive control [J].
Magni, L. ;
Raimondo, D. M. ;
Scattolini, R. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (09) :1548-1553
[9]   Robust model predictive control for nonlinear discrete-time systems [J].
Magni, L ;
De Nicolao, G ;
Scattolini, R ;
Allgöwer, F .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (3-4) :229-246
[10]   MULTIRATE SELF-TUNING PREDICTIVE CONTROLLER FOR MULTIVARIABLE SYSTEMS [J].
SCATTOLINI, R .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1992, 23 (08) :1347-1359