TY - GEN
T1 - Robust stability criteria for uncertain systems with delay and its derivative varying within intervals
AU - Figueredo, Luis Felipe Da Cruz
AU - Ishihara, João Yoshiyuki
AU - Borges, Geovany Araújo
AU - Bauchspiess, Adolfo
PY - 2011
Y1 - 2011
N2 - In this paper, stability criteria are proposed for linear systems liable to model uncertainties and with the delay and its derivative varying within intervals. The results are an improvement over previous ones due to the development of a new Lyapunov-Krasovskii functional (LKF). The analysis incorporates recent advances such as convex optimization technique and piecewise analysis method with new delay-interval-depedent LKFs terms and a novel auxiliary delayed state. Stability conditions are provided for the cases when the delay derivative is upper and lower bounded, when the lower bound is unknown, and when no restrictions are cast upon the derivative. The analysis is enriched with numerical examples that illustrate the effectiveness of our criteria which outperform previous criteria in the literature for nominal and uncertain delayed systems.
AB - In this paper, stability criteria are proposed for linear systems liable to model uncertainties and with the delay and its derivative varying within intervals. The results are an improvement over previous ones due to the development of a new Lyapunov-Krasovskii functional (LKF). The analysis incorporates recent advances such as convex optimization technique and piecewise analysis method with new delay-interval-depedent LKFs terms and a novel auxiliary delayed state. Stability conditions are provided for the cases when the delay derivative is upper and lower bounded, when the lower bound is unknown, and when no restrictions are cast upon the derivative. The analysis is enriched with numerical examples that illustrate the effectiveness of our criteria which outperform previous criteria in the literature for nominal and uncertain delayed systems.
UR - https://www.scopus.com/pages/publications/80053147744
M3 - Conference contribution
AN - SCOPUS:80053147744
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 4884
EP - 4889
BT - Proceedings of the 2011 American Control Conference, ACC 2011
T2 - 2011 American Control Conference, ACC 2011
Y2 - 29 June 2011 through 1 July 2011
ER -