Quadratic Control of Linear Discrete-time Positive Systems

2018 ◽  
Author(s):  
Dusan Krokavec ◽  
Anna Filasova
Keyword(s):  
Discrete Time ◽  
Positive Systems

scholarly journals Stabilization of discrete-time LTI positive systems

2017 ◽  
Vol 27 (4) ◽  
pp. 575-594 ◽  
Author(s):  
Dušan Krokavec ◽  
Anna Filasová
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Linear Matrix ◽  
Positive System ◽  
Matrix Inequalities ◽  
Positive Systems ◽  
Feedback Controllers ◽  
Associated Solutions ◽  
State Observers ◽  
Time Linear

AbstractThe paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.

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