Robust stability of uncertain discrete-time switched systems with time-varying delay

2018 ◽  
Author(s):  
Charqi Mohammed ◽  
Tissir El Houssaine ◽  
Ouahi Mohamed ◽  
Chaibi Noureddine
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

2013 ◽  
Vol 479-480 ◽  
pp. 983-988
Author(s):  
Jenq Der Chen ◽  
Chang Hua Lien ◽  
Ker Wei Yu ◽  
Chin Tan Lee ◽  
Ruey Shin Chen ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Signal Design ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Switching Signal ◽  
Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

Robust dissipative observer-based control design for discrete-time switched systems with time-varying delay

2019 ◽  
Vol 13 (18) ◽  
pp. 3026-3039 ◽  
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Jérôme Bosche ◽  
Ahmed El-Hajjaji ◽  
Mohamed Chaabane
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Control Design ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

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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