Robust sampled-data stabilization of linear systems - An input delay approach
Fridman, Emilia ; Seuret, Alexandre ; Richard, Jean-Pierre
HAL, inria-00131031 / Harvested from HAL
Text on HAL
A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems. The only restriction on the sampling is that the distance between the sequel sampling times is not greater than some prechosen h>0 for which the LMIs are feasible. For h → 0 the conditions coincide with the necessary and sufficient conditions for continuous-time state-feedback stabilization. Our approach is applied to two problems: to sampled-data stabilization of systems with polytopic type uncertainities and to regional stabilization by sampled-data saturated state-feedback.
Publié le : 2004-07-05
Classification:  Sampled-data control,  Stabilization,  Delay,  LMI,  Time-varying delay,  ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.9: Integral Equations/G.1.9.0: Delay equations,  ACM: J.: Computer Applications/J.2: PHYSICAL SCIENCES AND ENGINEERING/J.2.6: Engineering,  [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{inria-00131031,
     author = {Fridman, Emilia and Seuret, Alexandre and Richard, Jean-Pierre},
     title = {Robust sampled-data stabilization of linear systems - An input delay approach},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00131031}
}

Fridman, Emilia; Seuret, Alexandre; Richard, Jean-Pierre. Robust sampled-data stabilization of linear systems - An input delay approach. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/inria-00131031/