Robust stabilization of switched positive discrete‐time systems with asynchronous switching and input saturation

2018 ◽  
Author(s):  
Yong Zhang ◽  
Jingjing Hu ◽  
Dexiang Liu ◽  
Debao Xia
Keyword(s):  
Discrete Time ◽  
Input Saturation ◽  
Robust Stabilization ◽  
Asynchronous Switching ◽  
Discrete Time Systems ◽  
Time Systems

Null controllable region of LTI discrete-time systems with input saturation

Automatica ◽  
2002 ◽  
Vol 38 (11) ◽  
pp. 2009-2013 ◽  
Author(s):  
Tingshu Hu ◽  
Daniel E. Miller ◽  
Li Qiu
Keyword(s):  
Discrete Time ◽  
Input Saturation ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Robust Stabilization of Discrete-Time Systems with Time-Varying Delay: An LMI Approach

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
Valter J. S. Leite ◽  
Márcio F. Miranda
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Robust Stability Analysis ◽  
Time Systems ◽  
Varying Delay

Sufficient linear matrix inequality (LMI) conditions to verify the robust stability and to design robust state feedback gains for the class of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented. The conditions are obtained through parameter-dependent Lyapunov-Krasovskii functionals and use some extra variables, which yield less conservative LMI conditions. Both problems, robust stability analysis and robust synthesis, are formulated as convex problems where all system matrices can be affected by uncertainty. Some numerical examples are presented to illustrate the advantages of the proposed LMI conditions.

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