Stabilization and Robustness Analysis for Time-Varying Systems with Time-Varying Delays using a Sequential Subpredictors Approach * - Archive ouverte HAL Access content directly
Journal Articles Automatica Year : 2017

Stabilization and Robustness Analysis for Time-Varying Systems with Time-Varying Delays using a Sequential Subpredictors Approach *

(1) , (2)
1
2

Abstract

We provide a new sequential predictors approach for the exponential stabilization of linear time-varying systems. Our method circumvents the problem of constructing and estimating distributed terms in the control laws, and allows arbitrarily large input delay bounds, pointwise time-varying input delays, and uncertainties. Instead of using distributed terms, our approach to handling longer delays is to increase the number of predictors. We obtain explicit formulas to find lower bounds for the number of required predictors. The formulas involve bounds on the delays and on the derivatives of the delays. We illustrate our method in three examples.
Fichier principal
Vignette du fichier
VaryingSequentialPredictors.pdf (447.78 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01660103 , version 1 (09-12-2017)

Identifiers

Cite

Frédéric Mazenc, Michael Malisoff. Stabilization and Robustness Analysis for Time-Varying Systems with Time-Varying Delays using a Sequential Subpredictors Approach *. Automatica, 2017, 82, pp.118-127. ⟨10.1016/j.automatica.2017.04.020⟩. ⟨hal-01660103⟩
204 View
253 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More