Decentralized optimal control of dynamical systems under uncertainty

被引:0
作者
R. Gabasov
N. M. Dmitruk
F. M. Kirillova
机构
[1] Belarussian State University,Institute of Mathematics
[2] National Academy of Sciences of Belarus,undefined
来源
Computational Mathematics and Mathematical Physics | 2011年 / 51卷
关键词
group of dynamical objects; optimal control; uncertainty; decentralization principle; algorithm;
D O I
暂无
中图分类号
学科分类号
摘要
The problem of optimal control of a group of interconnected dynamical objects under uncertainty is considered. The cases are examined in which the centralized control of the group of objects is impossible due to delay in the channel for information exchange between the group members. Optimal self-control algorithms in real time for each dynamical object are proposed. Various types of a priori and current information about the behavior of the group members and about uncertainties in the system are examined. The proposed methods supplement the earlier developed optimal control methods for an individual dynamical system and the methods of decentralized optimal control of deterministic objects. The results are illustrated with examples.
引用
收藏
页码:1128 / 1145
页数:17
相关论文
共 19 条
[1]  
Balashevich N. V.(2000)Numerical Methods for Open-Loop and Closed-Loop Optimization of Linear Control Systems Zh. Vychisl. Mat. Mat. Fiz. 40 838-859
[2]  
Gabasov R.(2006)Guranteed Optimal Controls of Systems with Delays Tr. Inst. Matematiki i Mekhaniki, Ural’skoe Otd. Ross. Akad. Nauk 12 27-47
[3]  
Kirillova F. M.(2009)Architectures for Distributed and Hierarchical Model Predictive Control-A Review J. Proc. Control 19 723-731
[4]  
Gabasov R.(2008)Distributed MPC Strategies with Application to Power System Automatic Generation Control IEEE Trans. Control Syst. Technol. 16 1192-1206
[5]  
Dmitruk N. M.(2004)Optimal Control of Multidimensuional Systems by Inaccurate Measurements of Their Outputs Tr. Inst. Matematiki i Mekhaniki, Ural’skoe Otd. Ross. Akad. Nauk 10 33-57
[6]  
Kirillova F. M.(2009)Optimal Observation under Permanent Perturbations Tr. Inst. Matematiki i Mekhaniki, Ural’skoe Otd. Ross. Akad. Nauk 15 52-68
[7]  
Scattolini R.(2004)Optimal On-line Control with Delays Memoirs Differ. Equat. Math. Phys. 31 35-52
[8]  
Venkat A. N.(undefined)undefined undefined undefined undefined-undefined
[9]  
Hiskens I. A.(undefined)undefined undefined undefined undefined-undefined
[10]  
Rawlings J. B.(undefined)undefined undefined undefined undefined-undefined