Continuous-Time H~~ Control Design of Large Scale Systems Using Chandrasekhar~fs Equations

Author(s):  
F.D. Freitas ◽  
J.Y. Ishihara ◽  
G.A. Borges
2015 ◽  
Vol 44 (3) ◽  
pp. 247-253
Author(s):  
Branislav Rehak

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


1995 ◽  
Vol 28 (23) ◽  
pp. 47-52
Author(s):  
M.R. Katebi ◽  
M.A. Johnson

2017 ◽  
Vol 40 (14) ◽  
pp. 4004-4013 ◽  
Author(s):  
Fucheng Liao ◽  
Yu Wang ◽  
Yanrong Lu ◽  
Jiamei Deng

In this paper, the problem of optimal preview control is studied for a class of linear continuous-time large-scale systems. We first construct an augmented system including the error signal and the reference signal to transform the tracking problem into the regulator problem. Then, the controllers are designed for isolated augmented subsystems, which also constitute the controller of large-scale systems. On the basis of proving the asymptotic stability of closed-loop large-scale systems and the existence of the controller, sufficient conditions for reaching optimal preview control are given. In particular, the limiting condition of the correlation matrices is determined by the fact that the total derivative of a positive definite Lyapunov function is negative definite. The numerical simulation indicates that the controller can drive the large-scale systems to track the reference signal without steady-state error, and the tracking effect is improved with the increasing preview length.


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