Title :
From Floquet exponents to control of chaos in piecewise linear systems
Author :
Batlle, Carles ; Ossa, Enric F. ; Olivar, G.
Author_Institution :
Univ. Politecnica de Catalunya, Barcelona, Spain
Abstract :
We show that, for piecewise linear systems, Floquet exponents of periodic orbits can be analytically computed. Impulsive differential equations (IDE) play a key role in the process. The same techniques used for Floquet exponents can be applied to the computation of the range of parameters such that chaos can be suppressed by stabilization of naturally unstable periodic orbits (UPO). In particular, the theory can be applied to the suppression of chaos in dc-dc converters
Keywords :
DC-DC power convertors; chaos; nonlinear control systems; piecewise linear techniques; stability; Floquet exponents; chaos control; dc-dc converters; impulsive differential equations; naturally unstable periodic orbits; periodic orbits; piecewise linear systems; stabilization; Biological control systems; Chaos; Control systems; DC-DC power converters; Delay; Equations; Linear feedback control systems; Orbits; Piecewise linear techniques; Stability;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856268
