New approach to H∞ filtering for uncertain discrete-time linear systems in finite frequency domain

Author(s):  
D. El Hellani ◽  
A. El Hajjaji ◽  
R. Ceschi
2017 ◽  
Vol 28 (1) ◽  
pp. 326-341 ◽  
Author(s):  
Jose Fernando Garcia Tirado ◽  
Alejandro Marquez-Ruiz ◽  
Hector Botero Castro ◽  
Fabiola Angulo

Author(s):  
T. Kaczorek

Abstract A new approach to the realization problem for fractional discrete-time linear systems is proposed. A procedure for computation of fractional realizations of given transfer matrices is presented and illustrated by numerical examples.


2011 ◽  
Vol 71-78 ◽  
pp. 4256-4260
Author(s):  
Hong Bo Zou ◽  
Hui Hui Feng ◽  
Xiao Dong Zhao

The problem of output feedback for the unstable discrete-time linear systems with input amplitude constraints is studied. Based on the precise description of controllable region, the typical implementation method of observer-based output feedback will decrease the system’s controllable region, a new approach is proposed in this paper, which make the system’s controllable domain as big as possible. Finally, two illustrative examples and simulation results are given to demonstrate the effectiveness of the proposed method.


2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek

A new modified state variable diagram method is proposed for determination of positive realizations with reduced numbers of delays and without delays of linear discrete-time systems for a given transfer function. Sufficient conditions for the existence of the positive realizations of given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with greater dimension. The proposed methods are demonstrated on a numerical example.


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