On Robust Stabilization of Discrete-time LPV/LFR Systems

2022 ◽  
pp. 1-1
Author(s):  
Renan Lima Pereira ◽  
Matheus Senna de Oliveira
Keyword(s):  
Discrete Time ◽  
Robust Stabilization

Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty

1994 ◽  
Vol 22 (5) ◽  
pp. 327-339 ◽  
Author(s):  
Germain Garcia ◽  
jacques Bernussou ◽  
Denis Arzelier
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Time Varying ◽  
Time Linear

Sampled-Data Optimal Design and Robust Stabilization

1992 ◽  
Vol 114 (4) ◽  
pp. 538-543 ◽  
Author(s):  
Tongwen Chen ◽  
Bruce A. Francis
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Disturbance Attenuation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Sampled Data ◽  
Design Problems ◽  
Data Control ◽  
Time Problem

This paper considers sampled-data control of time-delay systems. First we show that under a certain nonpathological sampling condition, a sampled-data system is internally stable in continuous time if and only if the corresponding discretized system is stable in discrete time. Based on this, we then study two sampled-data design problems for (unstable) time-delay systems: ℋ2-optimal disturbance attenuation and robust stabilization. In both cases, the sampled-data problem can be recast via operator methods as exactly a discrete-time problem and hence be solved using known techniques.

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