Title :
Two-dimensional analysis of string stability of nonlinear vehicle strings
Author :
Knorn, Steffi ; Middleton, R.H.
Author_Institution :
Centre for Complex Dynamic Syst. & Control, Univ. of Newcastle, Newcastle, NSW, Australia
Abstract :
Stability of nonlinear 2D continuous-discrete systems is shown using Lyapunov stability theory and iISS. The proposed stability conditions are applicable with non-positive divergence of the Lyapunov function. The results are used to rigorously prove string stability of a nonlinear vehicle string with variable time headway.
Keywords :
Lyapunov methods; continuous systems; control system analysis; discrete systems; multidimensional systems; nonlinear systems; stability; vehicles; Lyapunov function; Lyapunov stability theory; iISS; nonlinear 2D continuous-discrete system stability; nonlinear vehicle strings; nonpositive divergence; string stability; two-dimensional analysis; variable time headway; Asymptotic stability; Equations; Lyapunov methods; Mathematical model; Stability analysis; Vehicle dynamics; Vehicles;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760814
