Title :
Chaos in discrete variable structure systems
Author_Institution :
Dept. of Math. & Comput., Univ. of Central Queensland, Rockhampton, Qld., Australia
Abstract :
A chaotic system is a nonlinear deterministic dynamical system whose behavior is erratic and irregular and therefore sensitive to small changes in initial conditions. The discretization chaos in the variable structure control of linear systems is investigated using Lyapunov exponents. The mechanism of occurrence of discretization chaos is discussed with a simulation study of two-dimensional and three-dimensional systems
Keywords :
Lyapunov methods; chaos; discrete systems; nonlinear dynamical systems; variable structure systems; 2D systems; Lyapunov exponents; chaotic system; discrete variable structure systems; discretization chaos; linear systems; nonlinear deterministic dynamical system; simulation; three-dimensional systems; variable structure control; Chaos; Control systems; Erbium; Feedback; Linear systems; Mathematics; Sampling methods; State-space methods; Upper bound; Variable structure systems;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371108
