Robust H/sub ∞/ control of discrete-time linear systems with delayed state and Frobenius norm-bounded uncertainties

2002 ◽  
Author(s):  
Li Yu ◽  
Furong Gao
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Frobenius Norm ◽  
Bounded Uncertainties ◽  
Time Linear ◽  
Norm Bounded Uncertainties

Robust Stochastic Stabilization of Discrete-Time Linear Systems With Markovian Jumping Parameters

1999 ◽  
Vol 121 (2) ◽  
pp. 331-334 ◽  
Author(s):  
El Kebi´r Boukas ◽  
Peng Shi ◽  
Khalid Benjelloun
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Stochastic Stabilization ◽  
Riccati Inequalities ◽  
Bounded Uncertainties ◽  
Time Linear ◽  
Norm Bounded Uncertainties

In this paper, we study the problem of robust stabilization of discrete-time linear systems with Markovian jumping parameters (DTLSMJP) with norm bounded uncertainties. A sufficient condition guaranteeing te robust stability of the uncertain discrete-time linear systems with Markovian jumping parameters (UDTLSMJP) is presented, which is in terms of a set of coupled discrete-time algebraic Riccati inequalities (IEqs). Finally, a numerical example is given to show the potential of the proposed technique.

scholarly journals Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems

2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Diagram Method ◽  
State Variable ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

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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