On the Use of a Block Analog of the Gerschgorin Circle Theorem in the Design of Decentralized Control of a Class of Large-Scale Systems

1980 ◽  
Vol 13 (6) ◽  
pp. 103-108
Author(s):  
Ole A. Solheim
Keyword(s):  
Decentralized Control ◽  
Large Scale ◽  
Large Scale Systems ◽  
Circle Theorem ◽  
Gerschgorin Circle

scholarly journals Large-Scale Systems Control Design via LMI Optimization

2015 ◽  
Vol 44 (3) ◽  
pp. 247-253
Author(s):  
Branislav Rehak
Keyword(s):  
Decentralized Control ◽  
Large Scale ◽  
Expert Knowledge ◽  
Control Design ◽  
Large Scale Systems ◽  
Large Scale System ◽  
Lmi Optimization ◽  
Control Gain ◽  
Systems Control

A control design for a large-scale system using LMI optimization is proposed. The control is designed in a way such that the LQ cost in the case of the decentralized control  does not exceed a certain limit. The optimized quantity are the values of the control gain matrices. The methodology is useful even for finding a decomposition of the system, however, some expert knowledge is necessary in this case. The capabilities of the algorithm are illustrated by two examples.DOI: http://dx.doi.org/10.5755/j01.itc.44.3.6464

Non-Fragile Decentralized Control for the Uncertain Singular Large-Scale Systems with Time-Delay

2011 ◽  
Vol 317-319 ◽  
pp. 2204-2207
Author(s):  
Dong Mei Yang ◽  
Qing Sun
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Decentralized Control ◽  
Large Scale ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Large Scale Systems ◽  
System With Time Delay

This paper is concerned with the non-fragile decentralized controller design problem for uncertain singular large-scale system with time-delay. Sufficient condition for the controller is expressed in terms of linear matrix inequalities(LMIs). When this condition is feasible, the desired controller can be obtained with additive gain perturbations and multiplicative gain perturbations. Finally, a numerical example is also given to illustrate the effectiveness.

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